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Volumn 25, Issue 3, 2014, Pages 473-492

LMI-based criterion for robust stability of 2-D discrete systems with interval time-varying delays employing quantisation / overflow nonlinearities

Author keywords

Delayed system; Linear matrix inequality; Lyapunov stability; Nonlinear system; Two dimensional system; Uncertain system

Indexed keywords

LINEAR MATRIX INEQUALITIES; NONLINEAR SYSTEMS; TWO DIMENSIONAL; UNCERTAIN SYSTEMS;

EID: 84899986825     PISSN: 09236082     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11045-012-0211-6     Document Type: Article
Times cited : (25)

References (85)
  • 1
    • 84899954067 scopus 로고
    • Finite wordlength effects in two-dimensional digital systems
    • S. G. Tzafestas (Ed.) Chap. 5. New York, Basel:Marcel Dekker
    • Aboulnasr, T. T., & Fahmy, M. M. (1986). Finite wordlength effects in two-dimensional digital systems. In S. G. Tzafestas (Ed.) Multidimensional systems; techniques and applications, Chap. 5. New York, Basel:Marcel Dekker.
    • (1986) Multidimensional Systems; Techniques and Applications
    • Aboulnasr, T.T.1    Fahmy, M.M.2
  • 2
    • 0023401949 scopus 로고
    • A note on the frequency-dependent Lyapunov equation
    • Agathoklis, P. (1987). A note on the frequency-dependent Lyapunov equation. IEEE Transactions on Circuits & Systems, 34(8), 974-975.
    • (1987) IEEE Transactions on Circuits & Systems , vol.34 , Issue.8 , pp. 974-975
    • Agathoklis, P.1
  • 3
    • 84941499658 scopus 로고
    • The discrete-time strictly bounded-real lemma and the computation of positive definite solutions to the 2-D Lyapunov equation
    • Agathoklis, P., Jury, E. I., & Mansour, M. (1989). The discrete-time strictly bounded-real lemma and the computation of positive definite solutions to the 2-D Lyapunov equation. IEEE Transactions on Circuits & Systems, 36(6), 830-837.
    • (1989) IEEE Transactions on Circuits & Systems , vol.36 , Issue.6 , pp. 830-837
    • Agathoklis, P.1    Jury, E.I.2    Mansour, M.3
  • 6
    • 0025494083 scopus 로고
    • A stability analysis of two-dimensional nonlinear digital state-space filters
    • Bauer, P. H., & Jury, E. I. (1990). A stability analysis of two-dimensional nonlinear digital state-space filters. IEEE Transactions on Acoustics, Speech & Signal Processing, 38(9), 1578-1586.
    • (1990) IEEE Transactions on Acoustics, Speech & Signal Processing , vol.38 , Issue.9 , pp. 1578-1586
    • Bauer, P.H.1    Jury, E.I.2
  • 7
    • 4243422080 scopus 로고    scopus 로고
    • Stability of asynchronous two dimensional Fornasini Marchesini dynamical systems
    • Bhaya, A., Kaszkurewicz, E., & Su,Y. (2001). Stability of asynchronous two dimensional Fornasini Marchesini dynamical systems. Linear Algebra and Its Applications, 332-334, 257-263.
    • (2001) Linear Algebra and Its Applications , vol.332-334 , pp. 257-263
    • Bhaya, A.1    Kaszkurewicz, E.2    Su, Y.3
  • 8
    • 84855796911 scopus 로고    scopus 로고
    • Application of 2D systems to investigation of a process of gas filtration
    • Bors, D., & Walczak, S. (2012). Application of 2D systems to investigation of a process of gas filtration. Multidimensional Systems & Signal Processing, 23(1-2), 119-130.
    • (2012) Multidimensional Systems & Signal Processing , vol.23 , Issue.1-2 , pp. 119-130
    • Bors, D.1    Walczak, S.2
  • 10
    • 0026941599 scopus 로고
    • Two's complement quantization in two-dimensional digital state-space filters
    • Bose, T., & Trautman, D. A. (1992). Two's complement quantization in two-dimensional digital state-space filters. IEEE Transactions on Signal Processing, 40(10), 2589-2592.
    • (1992) IEEE Transactions on Signal Processing , vol.40 , Issue.10 , pp. 2589-2592
    • Bose, T.1    Trautman, D.A.2
  • 12
    • 0004292258 scopus 로고
    • Prentice-Hall Signal Processing Series. NJ: Prentice Hall
    • Bracewell, R. N. (1995). Two-dimensional imaging. Prentice-Hall Signal Processing Series. NJ: Prentice Hall.
    • (1995) Two-dimensional Imaging
    • Bracewell, R.N.1
  • 13
    • 71449126229 scopus 로고    scopus 로고
    • Stability analysis of 2-D state-delayed systems with saturation nonlinearities
    • Chen, S.-F. (2009). Stability analysis of 2-D state-delayed systems with saturation nonlinearities. In Proceedings 7th Asian control conference (pp. 412-417).
    • (2009) Proceedings 7th Asian Control Conference , pp. 412-417
    • Chen, S.-F.1
  • 14
    • 77950187987 scopus 로고    scopus 로고
    • Stability analysis for 2-D systems with interval time-varying delays and saturation nonlinearities
    • Chen, S.-F. (2010a). Stability analysis for 2-D systems with interval time-varying delays and saturation nonlinearities. Signal Processing, 90(7), 2265-2275.
    • (2010) Signal Processing , vol.90 , Issue.7 , pp. 2265-2275
    • Chen, S.-F.1
  • 15
    • 77953129190 scopus 로고    scopus 로고
    • Delay-dependent stability for 2D systems with time-varying delay subject to state saturation in the Roesser model
    • Chen, S.-F. (2010b). Delay-dependent stability for 2D systems with time-varying delay subject to state saturation in the Roesser model. Applied Mathematics & Computation, 216(9), 2613-2622.
    • (2010) Applied Mathematics & Computation , vol.216 , Issue.9 , pp. 2613-2622
    • Chen, S.-F.1
  • 16
    • 77955180183 scopus 로고    scopus 로고
    • Stability analysis and output-feedback stabilisation of discrete-time systems with an interval time-varying state delay
    • Chen, K. F., & Fong, I.-K. (2010). Stability analysis and output-feedback stabilisation of discrete-time systems with an interval time-varying state delay. IET Control Theory & Applications, 4(4), 563-572.
    • (2010) IET Control Theory & Applications , vol.4 , Issue.4 , pp. 563-572
    • Chen, K.F.1    Fong, I.-K.2
  • 17
    • 30344452617 scopus 로고    scopus 로고
    • Robust filtering for 2-D state-delayed systems with NFT uncertainties
    • Chen, S.-F., & Fong, I.-K. (2006). Robust filtering for 2-D state-delayed systems with NFT uncertainties. IEEE Transactions on Signal Processing, 54(1), 274-285.
    • (2006) IEEE Transactions on Signal Processing , vol.54 , Issue.1 , pp. 274-285
    • Chen, S.-F.1    Fong, I.-K.2
  • 18
    • 34447264478 scopus 로고    scopus 로고
    • Delay-dependent robust H8 filtering for uncertain 2-D state-delayed systems
    • Chen, S.-F., & Fong, I.-K. (2007). Delay-dependent robust H8 filtering for uncertain 2-D state-delayed systems. Signal Processing, 87(11), 2659-2672.
    • (2007) Signal Processing , vol.87 , Issue.11 , pp. 2659-2672
    • Chen, S.-F.1    Fong, I.-K.2
  • 19
    • 57149145931 scopus 로고    scopus 로고
    • On the asymptotic stability of positive 2-D systems described by the Roesser model
    • Chu, B., & Liu, Y. (2007). On the asymptotic stability of positive 2-D systems described by the Roesser model. IEEE Transactions on Circuits & Systems II, 54(12), 1102-1104.
    • (2007) IEEE Transactions on Circuits & Systems II , vol.54 , Issue.12 , pp. 1102-1104
    • Chu, B.1    Liu, Y.2
  • 21
    • 79551489956 scopus 로고    scopus 로고
    • Robust stability of 2-D discrete systems employing generalized overflow nonlinearities: An LMI approach
    • Dey, A., & Kar, H. (2011). Robust stability of 2-D discrete systems employing generalized overflow nonlinearities: An LMI approach. Digital Signal Processing, 21(2), 262-269.
    • (2011) Digital Signal Processing , vol.21 , Issue.2 , pp. 262-269
    • Dey, A.1    Kar, H.2
  • 22
    • 0033226167 scopus 로고    scopus 로고
    • Stability analysis and stabilisation of uncertain two-dimensional discrete systems: An LMI approach
    • Du, C., & Xie, L. (1999). Stability analysis and stabilisation of uncertain two-dimensional discrete systems: An LMI approach. IEEE Transactions on Circuits Systems I, 46(11), 1371-1374.
    • (1999) IEEE Transactions on Circuits Systems i , vol.46 , Issue.11 , pp. 1371-1374
    • Du, C.1    Xie, L.2
  • 24
    • 78149264322 scopus 로고    scopus 로고
    • Delay-dependent robust stability and stabilisation of uncertain two-dimensional discrete systems with time-varying delays
    • Feng, Z.-Y., Xu, L., Wu, M., & He, Y. (2010). Delay-dependent robust stability and stabilisation of uncertain two-dimensional discrete systems with time-varying delays. IET Control Theory & Applications, 4(10),1959-1971.
    • (2010) IET Control Theory & Applications , vol.4 , Issue.10 , pp. 1959-1971
    • Feng, Z.-Y.1    Xu, L.2    Wu, M.3    He, Y.4
  • 25
  • 26
    • 34250287560 scopus 로고
    • Doubly indexed dynamical systems: State-space models and structural properties
    • Fornasini, E.,&Marchesini, G. (1978). Doubly indexed dynamical systems: State-space models and structural properties. Mathematical Systems Theory, 12(1), 59-72.
    • (1978) Mathematical Systems Theory , vol.12 , Issue.1 , pp. 59-72
    • Fornasini, E.1    Marchesini, G.2
  • 28
    • 0026835901 scopus 로고
    • Control of the metal rolling process: A multidimensional system approach
    • Foda, S., & Agathoklis, P. (1992). Control of the metal rolling process: A multidimensional system approach. Journal of the Franklin Institute, 329(2), 317-332.
    • (1992) Journal of the Franklin Institute , vol.329 , Issue.2 , pp. 317-332
    • Foda, S.1    Agathoklis, P.2
  • 30
    • 10944251338 scopus 로고    scopus 로고
    • Delay-dependent output feedback stabilisation of discrete-time systems with time varying state delay
    • Gao, H., Lam, J.,Wang, C., & Wang,Y. (2004).Delay-dependent output feedback stabilisation of discrete-time systems with time varying state delay. IEE Proceedings Control Theory & Applications, 151(6), 691-698.
    • (2004) IEE Proceedings Control Theory & Applications , vol.151 , Issue.6 , pp. 691-698
    • Gao, H.1    Lam, J.2    Wang, C.3    Wang, Y.4
  • 31
    • 56549085214 scopus 로고    scopus 로고
    • Output feedback stabilization for a discrete-time system with a time-varying delay
    • He, Y.,Wu, M., Liu, G.-P., & She, J.-H. (2008). Output feedback stabilization for a discrete-time system with a time-varying delay. IEEE Transactions on Automatic Control, 53(10), 2372-2377.
    • (2008) IEEE Transactions on Automatic Control , vol.53 , Issue.10 , pp. 2372-2377
    • He, Y.1    Wu, M.2    Liu, G.-P.3    She, J.-H.4
  • 32
    • 0027547748 scopus 로고
    • 2-D Lyapunov equation and filter design based on the Fornasini-Marchesini second model
    • Hinamoto, T. (1993). 2-D Lyapunov equation and filter design based on the Fornasini-Marchesini second model. IEEE Transactions on Circuits Systems I, 40(2), 102-110.
    • (1993) IEEE Transactions on Circuits Systems i , vol.40 , Issue.2 , pp. 102-110
    • Hinamoto, T.1
  • 33
    • 0031094558 scopus 로고    scopus 로고
    • Stability of 2-D discrete systems described by the Fornasini-Marchesini second model
    • Hinamoto, T. (1997). Stability of 2-D discrete systems described by the Fornasini-Marchesini second model. IEEE Transactions on Circuits Systems I, 44(3), 254-257.
    • (1997) IEEE Transactions on Circuits Systems i , vol.44 , Issue.3 , pp. 254-257
    • Hinamoto, T.1
  • 34
    • 78149269409 scopus 로고    scopus 로고
    • Improved approach to delay-dependent stability analysis of discrete-time systems with time-varying delay
    • Huang, H., & Feng, G. (2010). Improved approach to delay-dependent stability analysis of discrete-time systems with time-varying delay. IET Control Theory & Applications, 4(10), 2152-2159.
    • (2010) IET Control Theory & Applications , vol.4 , Issue.10 , pp. 2152-2159
    • Huang, H.1    Feng, G.2
  • 35
    • 10144253713 scopus 로고    scopus 로고
    • Existence of travelingwave fronts of delayed lattice differential equations
    • Huang, J., Lu, G.,&Zou, X. (2004). Existence of travelingwave fronts of delayed lattice differential equations. Journal of Mathematical Analysis and Applications, 298(2), 538-558.
    • (2004) Journal of Mathematical Analysis and Applications , vol.298 , Issue.2 , pp. 538-558
    • Huang, J.1    Lu, G.2    Zou, X.3
  • 36
    • 23944502890 scopus 로고    scopus 로고
    • Stability criteria for linear discrete time systems with interval-like time-varying delay
    • Jiang, X., Han, Q. L., & Yu, X. (2005). Stability criteria for linear discrete time systems with interval-like time-varying delay. In Proceedings American control conference (pp. 2817-2822).
    • (2005) Proceedings American Control Conference , pp. 2817-2822
    • Jiang, X.1    Han, Q.L.2    Yu, X.3
  • 40
    • 37849037644 scopus 로고    scopus 로고
    • The choice of the forms of Lyapunov functions for a positive 2D Roesser model
    • Kaczorek, T. (2007). The choice of the forms of Lyapunov functions for a positive 2D Roesser model. International Journal of Applied Mathematics & Computer Science, 17(4), 471-475.
    • (2007) International Journal of Applied Mathematics & Computer Science , vol.17 , Issue.4 , pp. 471-475
    • Kaczorek, T.1
  • 41
    • 60849084892 scopus 로고    scopus 로고
    • LMI approach to stability of 2D positive systems
    • Kaczorek, T. (2009). LMI approach to stability of 2D positive systems. Multidimensional Systems & Signal Processing, 20(1), 39-54.
    • (2009) Multidimensional Systems & Signal Processing , vol.20 , Issue.1 , pp. 39-54
    • Kaczorek, T.1
  • 42
    • 80051652141 scopus 로고    scopus 로고
    • Delay-dependent LMI condition for global asymptotic stability of discrete-time uncertain state-delayed systems using quantisation / overflow nonlinearities
    • Kandanvli, V. K. R., & Kar, H. (2010). Delay-dependent LMI condition for global asymptotic stability of discrete-time uncertain state-delayed systems using quantisation / overflow nonlinearities. International Journal of Robust & Nonlinear Control, 21(14), 1611-1622.
    • (2010) International Journal of Robust & Nonlinear Control , vol.21 , Issue.14 , pp. 1611-1622
    • Kandanvli, V.K.R.1    Kar, H.2
  • 43
    • 34548563904 scopus 로고    scopus 로고
    • A new sufficient condition for the global asymptotic stability of 2-D state-space digital filters with saturation arithmetic
    • Kar, H. (2008). A new sufficient condition for the global asymptotic stability of 2-D state-space digital filters with saturation arithmetic. Signal Processing, 88(1), 86-98.
    • (2008) Signal Processing , vol.88 , Issue.1 , pp. 86-98
    • Kar, H.1
  • 44
    • 77955429427 scopus 로고    scopus 로고
    • A novel criterion for the global asymptotic stability of 2-D discrete systems described by Roesser model using saturation arithmetic
    • Kar, H. (2010). A novel criterion for the global asymptotic stability of 2-D discrete systems described by Roesser model using saturation arithmetic. Digital Signal Processing, 20(6), 1505-1510.
    • (2010) Digital Signal Processing , vol.20 , Issue.6 , pp. 1505-1510
    • Kar, H.1
  • 45
    • 84859532048 scopus 로고    scopus 로고
    • A new criterion for the global asymptotic stability of 2-D state-space digital filters with two's complement overflow arithmetic
    • doi:10.1016/j.sigpro.2012.02.001
    • Kar, H. (2012). A new criterion for the global asymptotic stability of 2-D state-space digital filters with two's complement overflow arithmetic. Signal Processing. doi:10.1016/j.sigpro.2012.02.001.
    • (2012) Signal Processing
    • Kar, H.1
  • 46
    • 0031257148 scopus 로고    scopus 로고
    • Stability analysis of 2-D state-space digital filters using Lyapunov function: A caution
    • Kar, H., & Singh, V. (1997). Stability analysis of 2-D state-space digital filters using Lyapunov function: A caution. IEEE Transactions on Signal Processing, 45(10), 2620-2621.
    • (1997) IEEE Transactions on Signal Processing , vol.45 , Issue.10 , pp. 2620-2621
    • Kar, H.1    Singh, V.2
  • 47
    • 0033225903 scopus 로고    scopus 로고
    • An improved criterion for the asymptotic stability of 2-D digital filters described by the Fornasini-Marchesini second model using saturation arithmetic
    • Kar, H., & Singh, V. (1999). An improved criterion for the asymptotic stability of 2-D digital filters described by the Fornasini-Marchesini second model using saturation arithmetic. IEEE Transactions on Circuits & Systems I, 46(11), 1412-1413.
    • (1999) IEEE Transactions on Circuits & Systems i , vol.46 , Issue.11 , pp. 1412-1413
    • Kar, H.1    Singh, V.2
  • 48
    • 0033748840 scopus 로고    scopus 로고
    • Stability analysis of 2-D state-space digital filters with overflow nonlinearities
    • Kar, H., & Singh, V. (2000). Stability analysis of 2-D state-space digital filters with overflow nonlinearities. IEEE Transactions on Circuits & Systems I, 47(4), 598-601.
    • (2000) IEEE Transactions on Circuits & Systems i , vol.47 , Issue.4 , pp. 598-601
    • Kar, H.1    Singh, V.2
  • 49
    • 0035340069 scopus 로고    scopus 로고
    • Stability analysis of 1-D and 2-D fixed-point state-space digital filters using any combination of overflow and quantisation nonlinearities
    • Kar, H., & Singh, V. (2001a). Stability analysis of 1-D and 2-D fixed-point state-space digital filters using any combination of overflow and quantisation nonlinearities. IEEE Transactions on Signal Processing, 49(5), 1097-1105.
    • (2001) IEEE Transactions on Signal Processing , vol.49 , Issue.5 , pp. 1097-1105
    • Kar, H.1    Singh, V.2
  • 50
    • 0035330782 scopus 로고    scopus 로고
    • Stability analysis of 2-D digital filters described by the Fornasini-Marchesini second model using overflow nonlinearities
    • Kar, H., & Singh, V. (2001b). Stability analysis of 2-D digital filters described by the Fornasini-Marchesini second model using overflow nonlinearities. IEEE Transactions on Circuits & Systems I, 48(5), 612-617.
    • (2001) IEEE Transactions on Circuits & Systems i , vol.48 , Issue.5 , pp. 612-617
    • Kar, H.1    Singh, V.2
  • 51
    • 9744256319 scopus 로고    scopus 로고
    • Robust stability of 2-D discrete systems described by the Fornasini-Merchesini second model employing quantisation / overflow nonlinearities
    • Kar, H., & Singh, V. (2004). Robust stability of 2-D discrete systems described by the Fornasini-Merchesini second model employing quantisation / overflow nonlinearities. IEEE Transactions on Circuits & Systems II: Express Briefs, 51(11), 598-602.
    • (2004) IEEE Transactions on Circuits & Systems II: Express Briefs , vol.51 , Issue.11 , pp. 598-602
    • Kar, H.1    Singh, V.2
  • 52
    • 20544458357 scopus 로고    scopus 로고
    • Stability analysis of 2-D digital filters with saturation arithmetic: An LMI approach
    • Kar, H., & Singh, V. (2005). Stability analysis of 2-D digital filters with saturation arithmetic: An LMI approach. IEEE Transactions on Signal Processing, 53(6), 2267-2271.
    • (2005) IEEE Transactions on Signal Processing , vol.53 , Issue.6 , pp. 2267-2271
    • Kar, H.1    Singh, V.2
  • 53
    • 0028274315 scopus 로고
    • New criteria for asymptotic stability of one- and multidimensional state-space digital filters in fixed-point arithmetic
    • Leclerc, L.-J., & Bauer, P. H. (1994). New criteria for asymptotic stability of one- and multidimensional state-space digital filters in fixed-point arithmetic. IEEE Transactions on Signal Processing, 42(1), 46-53.
    • (1994) IEEE Transactions on Signal Processing , vol.42 , Issue.1 , pp. 46-53
    • Leclerc, L.-J.1    Bauer, P.H.2
  • 54
    • 0032072968 scopus 로고    scopus 로고
    • Lyapunov stability of two-dimensional digital filters with overflow nonlinearities
    • Liu, D. (1998). Lyapunov stability of two-dimensional digital filters with overflow nonlinearities. IEEE Transactions on Circuits Systems I, 45(5), 574-577.
    • (1998) IEEE Transactions on Circuits Systems i , vol.45 , Issue.5 , pp. 574-577
    • Liu, D.1
  • 55
    • 0028381817 scopus 로고
    • Stability analysis of state-space realizations for two-dimensional filters with overflow nonlinearities
    • Liu, D., & Michel, A. N. (1994). Stability analysis of state-space realizations for two-dimensional filters with overflow nonlinearities. IEEE Transactions on Circuits & Systems I, 41(2), 127-137.
    • (1994) IEEE Transactions on Circuits & Systems i , vol.41 , Issue.2 , pp. 127-137
    • Liu, D.1    Michel, A.N.2
  • 56
    • 33749818870 scopus 로고    scopus 로고
    • Delay-dependent robust stabilization of discrete-time systems with time-varying delay
    • Liu, X. G., Martin, R. R.,Wu,M., &Tang, M. L. (2006). Delay-dependent robust stabilization of discrete-time systems with time-varying delay. IEE Proceedings Control Theory & Applications, 153(6), 689-702.
    • (2006) IEE Proceedings Control Theory & Applications , vol.153 , Issue.6 , pp. 689-702
    • Liu, X.G.1    Martin, R.R.2    Wu, M.3    Tang, M.L.4
  • 57
    • 0028517166 scopus 로고
    • Some newresults on stability robustness of 2-D discrete systems
    • Lu, W.-S. (1994a). Some newresults on stability robustness of 2-D discrete systems. Multidimensional Systems & Signal Processing, 5(4), 345-361.
    • (1994) Multidimensional Systems & Signal Processing , vol.5 , Issue.4 , pp. 345-361
    • Lu, W.-S.1
  • 58
    • 0028531379 scopus 로고
    • On a Lyapunov approach to stability analysis of 2-D digital filters
    • Lu, W.-S. (1994b). On a Lyapunov approach to stability analysis of 2-D digital filters. IEEE Transactions on Circuits Systems I, 41(10), 665-669.
    • (1994) IEEE Transactions on Circuits Systems i , vol.41 , Issue.10 , pp. 665-669
    • Lu, W.-S.1
  • 59
    • 0029263639 scopus 로고
    • On robust stability of 2-D discrete systems
    • Lu, W.-S. (1995). On robust stability of 2-D discrete systems. IEEE Transactions on Automatic Control, 40(3), 502-506.
    • (1995) IEEE Transactions on Automatic Control , vol.40 , Issue.3 , pp. 502-506
    • Lu, W.-S.1
  • 60
    • 0021784320 scopus 로고
    • Stability analysis for two-dimensional systems via a Lyapunov approach
    • Lu, W.-S., & Lee, E. B. (1985). Stability analysis for two-dimensional systems via a Lyapunov approach. IEEE Transactions on Circuits & Systems, 32(1), 61-68.
    • (1985) IEEE Transactions on Circuits & Systems , vol.32 , Issue.1 , pp. 61-68
    • Lu, W.-S.1    Lee, E.B.2
  • 63
    • 0021370355 scopus 로고
    • Two-dimensional state-space discrete models for hyperbolic partial differential equations
    • Marszalek, W. (1984). Two-dimensional state-space discrete models for hyperbolic partial differential equations. Applied Mathematical Modelling, 8(1), 11-14.
    • (1984) Applied Mathematical Modelling , vol.8 , Issue.1 , pp. 11-14
    • Marszalek, W.1
  • 65
    • 0034243275 scopus 로고    scopus 로고
    • On stability analysis of 2-D systems based on 2-D Lyapunov matrix inequalities
    • Ooba, T. (2000). On stability analysis of 2-D systems based on 2-D Lyapunov matrix inequalities. IEEE Transactions on Circuits & Systems I, 47(8), 1263-1265.
    • (2000) IEEE Transactions on Circuits & Systems i , vol.47 , Issue.8 , pp. 1263-1265
    • Ooba, T.1
  • 67
    • 1042288928 scopus 로고    scopus 로고
    • Robust stability and stabilisation of 2-D discrete state-delayed systems
    • Paszke,W., Lam, J., Galkowski, K., Xu, S., & Lin, Z. (2004). Robust stability and stabilisation of 2-D discrete state-delayed systems. Systems & Control Letters, 51(3-4), 277-291.
    • (2004) Systems & Control Letters , vol.51 , Issue.3-4 , pp. 277-291
    • Paszke, W.1    Lam, J.2    Galkowski, K.3    Xu, S.4    Lin, Z.5
  • 68
    • 58749093740 scopus 로고    scopus 로고
    • Output feedback H8 control for 2-D state-delayed systems
    • Peng, D., & Guan, X. (2009a). Output feedback H8 control for 2-D state-delayed systems. Circuits, Systems, & Signal Processing, 28(1), 147-167.
    • (2009) Circuits, Systems, & Signal Processing , vol.28 , Issue.1 , pp. 147-167
    • Peng, D.1    Guan, X.2
  • 69
    • 67650469761 scopus 로고    scopus 로고
    • H8 filtering for 2-D discrete state-delayed systems
    • Peng, D., &Guan, X. (2009b). H8 filtering for 2-D discrete state-delayed systems. Multidimensional Systems & Signal Processing, 20(3), 265-284.
    • (2009) Multidimensional Systems & Signal Processing , vol.20 , Issue.3 , pp. 265-284
    • Peng, D.1    Guan, X.2
  • 70
    • 0016473439 scopus 로고
    • A discrete state-space model for linear image processing
    • Roesser, R. P. (1975). A discrete state-space model for linear image processing. IEEE Transactions on Automatic Control, 20(1), 1-10.
    • (1975) IEEE Transactions on Automatic Control , vol.20 , Issue.1 , pp. 1-10
    • Roesser, R.P.1
  • 71
    • 0022704313 scopus 로고
    • On the frequency dependent Lyapunov equation
    • Sendaula, M. (1986). On the frequency dependent Lyapunov equation. IEEE Transactions on Circuits & Systems, 33(4), 428-430.
    • (1986) IEEE Transactions on Circuits & Systems , vol.33 , Issue.4 , pp. 428-430
    • Sendaula, M.1
  • 72
    • 0022213985 scopus 로고
    • Design criterion for zero-input asymptotic overflow-stability of recursive digital filters in the presence of quantization
    • Sim, P. K., & Pang, K. K. (1985). Design criterion for zero-input asymptotic overflow-stability of recursive digital filters in the presence of quantization. Circuits Systems & Signal Processing, 4(4), 485-502.
    • (1985) Circuits Systems & Signal Processing , vol.4 , Issue.4 , pp. 485-502
    • Sim, P.K.1    Pang, K.K.2
  • 73
    • 13244298252 scopus 로고    scopus 로고
    • Robust stability of 2-D digital filters employing saturation
    • Singh, V. (2005). Robust stability of 2-D digital filters employing saturation. IEEE Signal Processing Letters, 12(2), 142-145.
    • (2005) IEEE Signal Processing Letters , vol.12 , Issue.2 , pp. 142-145
    • Singh, V.1
  • 74
    • 0036118269 scopus 로고    scopus 로고
    • Discretized quadratic optimal control for continuous-time two-dimensional systems
    • Tsai, J. S.-H., Li, J. S., & Shieh, L.-S. (2002). Discretized quadratic optimal control for continuous-time two-dimensional systems. IEEE Transactions on Circuits & Systems I, 49(1), 116-125.
    • (2002) IEEE Transactions on Circuits & Systems i , vol.49 , Issue.1 , pp. 116-125
    • Tsai, J.S.-H.1    Li, J.S.2    Shieh, L.-S.3
  • 75
    • 0026925028 scopus 로고
    • Two-dimensional digital filters without overflow oscillations and instability due to finite word length
    • Tzafestas, S. G., Kanellakis, A., & Theodorous, N. J. (1992). Two-dimensional digital filters without overflow oscillations and instability due to finite word length. IEEE Transactions on Signal Processing, 40(9), 2311-2317.
    • (1992) IEEE Transactions on Signal Processing , vol.40 , Issue.9 , pp. 2311-2317
    • Tzafestas, S.G.1    Kanellakis, A.2    Theodorous, N.J.3
  • 76
    • 0037627584 scopus 로고    scopus 로고
    • Robust stability of two-dimensional uncertain discrete systems
    • Wang, Z., & Liu, X. (2003). Robust stability of two-dimensional uncertain discrete systems. IEEE Signal Processing Letters, 10(5), 133-136.
    • (2003) IEEE Signal Processing Letters , vol.10 , Issue.5 , pp. 133-136
    • Wang, Z.1    Liu, X.2
  • 77
    • 0030212430 scopus 로고    scopus 로고
    • Stability and absence of overflow oscillations for 2-D discrete-time systems
    • Xiao, C., & Hill, D. J. (1996). Stability and absence of overflow oscillations for 2-D discrete-time systems. IEEE Transactions on Signal Processing, 44(8), 2108-2110.
    • (1996) IEEE Transactions on Signal Processing , vol.44 , Issue.8 , pp. 2108-2110
    • Xiao, C.1    Hill, D.J.2
  • 78
    • 0031185543 scopus 로고    scopus 로고
    • Stability and the Lyapunov equation for n-dimensional digital systems
    • Xiao, C., Hill, D. J., & Agathoklis, P. (1997). Stability and the Lyapunov equation for n-dimensional digital systems. IEEE Transactions on Circuits & Systems I, 44(7), 614-621.
    • (1997) IEEE Transactions on Circuits & Systems i , vol.44 , Issue.7 , pp. 614-621
    • Xiao, C.1    Hill, D.J.2    Agathoklis, P.3
  • 79
    • 0026901927 scopus 로고
    • H8 control and quadratic stabilisation of systems with parameter uncertainty via output feedback
    • Xie, L., Fu, M., & de Souza, C. E. (1992). H8 control and quadratic stabilisation of systems with parameter uncertainty via output feedback. IEEE Transactions on Automatic Control, 37(8), 1253-1256.
    • (1992) IEEE Transactions on Automatic Control , vol.37 , Issue.8 , pp. 1253-1256
    • Xie, L.1    Fu, M.2    De Souza, C.E.3
  • 81
    • 68349160468 scopus 로고    scopus 로고
    • Delay-dependent H8 control for 2-D discrete state delay systems in the second FM model
    • Xu, J., & Yu, L. (2009a). Delay-dependent H8 control for 2-D discrete state delay systems in the second FM model. Multidimensional Systems & Signal Processing, 20(4), 333-349.
    • (2009) Multidimensional Systems & Signal Processing , vol.20 , Issue.4 , pp. 333-349
    • Xu, J.1    Yu, L.2
  • 82
    • 59849086544 scopus 로고    scopus 로고
    • Delay-dependent guaranteed cost control for uncertain 2-D discrete systems with state delay in the FM second model
    • Xu, J., & Yu, L. (2009b). Delay-dependent guaranteed cost control for uncertain 2-D discrete systems with state delay in the FM second model. Journal of the Franklin Institute, 346(2), 159-174.
    • (2009) Journal of the Franklin Institute , vol.346 , Issue.2 , pp. 159-174
    • Xu, J.1    Yu, L.2
  • 83
    • 26444581686 scopus 로고    scopus 로고
    • RobustH8 control for a class of uncertain nonlinear two-dimensional systems with state delays
    • Xu, H., Zou, Y., Lu, J., & Xu, S. (2005). RobustH8 control for a class of uncertain nonlinear two-dimensional systems with state delays. Journal of the Franklin Institute, 342(7), 877-891.
    • (2005) Journal of the Franklin Institute , vol.342 , Issue.7 , pp. 877-891
    • Xu, H.1    Zou, Y.2    Lu, J.3    Xu, S.4
  • 84
    • 9644275458 scopus 로고    scopus 로고
    • Oscillation criteria of a class of partial difference equations with delays
    • Zhang, B. G., & Tian, C. J. (2004). Oscillation criteria of a class of partial difference equations with delays. Computers & Mathematics with Applications, 48(1-2), 291-303.
    • (2004) Computers & Mathematics with Applications , vol.48 , Issue.1-2 , pp. 291-303
    • Zhang, B.G.1    Tian, C.J.2
  • 85
    • 52449116025 scopus 로고    scopus 로고
    • Jensen inequality approach to stability analysis of discrete-time systems with time-varying delay
    • Zhu, X. L., & Yang, G. H. (2008). Jensen inequality approach to stability analysis of discrete-time systems with time-varying delay. In Proceedings American control conference (pp. 1644-1649).
    • (2008) Proceedings American Control Conference , pp. 1644-1649
    • Zhu, X.L.1    Yang, G.H.2


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