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Volumn 90, Issue 7, 2010, Pages 2265-2275

Stability analysis for 2-D systems with interval time-varying delays and saturation nonlinearities

Author keywords

Asymptotic stability; Delay dependence; Linear matrix inequality; Nonlinear systems; Saturation nonlinearities; Two dimensional systems

Indexed keywords

2-D SYSTEMS; DELAY BOUND; DELAY-DEPENDENCE; DELAY-DEPENDENT STABILITY; DELAY-RANGE-DEPENDENT; DISCRETE TIME SYSTEM; INTERVAL TIME-VARYING DELAYS; NUMERICAL EXAMPLE; SATURATION NONLINEARITIES; SATURATION NONLINEARITY; STABILITY ANALYSIS; STATE-SPACE MODELS; TWO-DIMENSIONAL SYSTEMS;

EID: 77950187987     PISSN: 01651684     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sigpro.2010.02.011     Document Type: Article
Times cited : (38)

References (28)
  • 4
    • 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 quantization nonlinearities
    • Kar H., and Singh V. Stability analysis of 1-D and 2-D fixed-point state-space digital filters using any combination of overflow and quantization nonlinearities. IEEE Trans. Signal Process. 49 (2001) 1097-1105
    • (2001) IEEE Trans. Signal Process. , vol.49 , pp. 1097-1105
    • Kar, H.1    Singh, V.2
  • 5
    • 9744256319 scopus 로고    scopus 로고
    • Robust stability of 2-D discrete systems described by the Fornasini-Marchesini second local state-space model employing quantization/overflow nonlinearities
    • Kar H., and Singh V. Robust stability of 2-D discrete systems described by the Fornasini-Marchesini second local state-space model employing quantization/overflow nonlinearities. IEEE Trans. Circuits Syst. II 51 (2004) 598-602
    • (2004) IEEE Trans. Circuits Syst. II , vol.51 , pp. 598-602
    • Kar, H.1    Singh, V.2
  • 6
    • 20544458357 scopus 로고    scopus 로고
    • Stability analysis of 2-D digital filters with saturation arithmetic: an LMI approach
    • Kar H., and Singh V. Stability analysis of 2-D digital filters with saturation arithmetic: an LMI approach. IEEE Trans. Signal Process. 53 (2005) 2267-2271
    • (2005) IEEE Trans. Signal Process. , vol.53 , pp. 2267-2271
    • Kar, H.1    Singh, V.2
  • 7
    • 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. A new sufficient condition for the global asymptotic stability of 2-D state-space digital filters with saturation arithmetic. Signal Processing 88 (2008) 86-98
    • (2008) Signal Processing , vol.88 , pp. 86-98
    • Kar, H.1
  • 9
    • 0028381817 scopus 로고
    • Stability analysis of state-space realizations for two dimensional filters with overflow nonlinearities
    • Liu D., and Michel A.N. Stability analysis of state-space realizations for two dimensional filters with overflow nonlinearities. IEEE Trans. Circuits Syst. I 41 (1994) 127-137
    • (1994) IEEE Trans. Circuits Syst. I , vol.41 , pp. 127-137
    • Liu, D.1    Michel, A.N.2
  • 10
    • 0032072968 scopus 로고    scopus 로고
    • Lyapunov stability of two-dimensional filters with overflow nonlinearities
    • Liu D. Lyapunov stability of two-dimensional filters with overflow nonlinearities. IEEE Trans. Circuits Syst. I 45 (1998) 574-577
    • (1998) IEEE Trans. Circuits Syst. I , vol.45 , pp. 574-577
    • Liu, D.1
  • 11
    • 13244298252 scopus 로고    scopus 로고
    • Robust stability of 2-D digital filters employing saturation
    • Singh V. Robust stability of 2-D digital filters employing saturation. IEEE Signal Process. Lett. 12 (2005) 142-145
    • (2005) IEEE Signal Process. Lett. , vol.12 , pp. 142-145
    • Singh, V.1
  • 12
    • 14644397240 scopus 로고    scopus 로고
    • Elimination of overflow oscillations in 2-D digital filters employing saturation arithmetic: an LMI approach
    • Singh V. Elimination of overflow oscillations in 2-D digital filters employing saturation arithmetic: an LMI approach. IEEE Signal Process. Lett. 12 (2005) 246-249
    • (2005) IEEE Signal Process. Lett. , vol.12 , pp. 246-249
    • Singh, V.1
  • 13
    • 34548734709 scopus 로고    scopus 로고
    • Improved criterion for global asymptotic stability of 2-D discrete systems with sate saturation
    • Singh V. Improved criterion for global asymptotic stability of 2-D discrete systems with sate saturation. IEEE Signal Process. Lett. 14 (2007) 719-722
    • (2007) IEEE Signal Process. Lett. , vol.14 , pp. 719-722
    • Singh, V.1
  • 14
    • 34548556987 scopus 로고    scopus 로고
    • New LMI condition for the nonexistence of overflow oscillations in 2-D state-space digital filters using saturation arithmetic
    • Singh V. New LMI condition for the nonexistence of overflow oscillations in 2-D state-space digital filters using saturation arithmetic. Digit. Signal Process. 17 (2007) 345-352
    • (2007) Digit. Signal Process. , vol.17 , pp. 345-352
    • Singh, V.1
  • 15
    • 30344452617 scopus 로고    scopus 로고
    • Robust filtering for 2-D state-delayed systems with NFT uncertainties
    • Chen S.-F., and Fong IK. Robust filtering for 2-D state-delayed systems with NFT uncertainties. IEEE Trans. Signal Process. 54 (2006) 274-285
    • (2006) IEEE Trans. Signal Process. , vol.54 , pp. 274-285
    • Chen, S.-F.1    Fong, IK.2
  • 16
    • 34447264478 scopus 로고    scopus 로고
    • ∞ filtering for uncertain 2-D state-delayed systems
    • ∞ filtering for uncertain 2-D state-delayed systems. Signal Processing 87 (2007) 2659-2672
    • (2007) Signal Processing , vol.87 , pp. 2659-2672
    • Chen, S.-F.1    Fong, IK.2
  • 19
    • 1042288928 scopus 로고    scopus 로고
    • Robust stability and stabilization of 2-D discrete state-delayed systems
    • Paszke W., Lam J., GaŁkowski K., Xu S., and Lin Z. Robust stability and stabilization of 2-D discrete state-delayed systems. Syst. Control Lett. 51 (2004) 277-291
    • (2004) Syst. Control Lett. , vol.51 , pp. 277-291
    • Paszke, W.1    Lam, J.2    GaŁkowski, K.3    Xu, S.4    Lin, Z.5
  • 20
    • 67650504194 scopus 로고    scopus 로고
    • Robust guaranteed cost control for class of two-dimensional discrete systems with shift-delays
    • Ye S., Wang W., and Zou Y. Robust guaranteed cost control for class of two-dimensional discrete systems with shift-delays. Multidimensional Syst. Signal Process. 20 (2009) 297-307
    • (2009) Multidimensional Syst. Signal Process. , vol.20 , pp. 297-307
    • Ye, S.1    Wang, W.2    Zou, Y.3
  • 21
    • 50349102303 scopus 로고    scopus 로고
    • Robust stability of discrete-time state-delayed systems employing generalized overflow nonlinearities
    • Kandanvli V.K.R., and Kar H. Robust stability of discrete-time state-delayed systems employing generalized overflow nonlinearities. Nonlinear Anal. Theor. 69 (2008) 2780-2787
    • (2008) Nonlinear Anal. Theor. , vol.69 , pp. 2780-2787
    • Kandanvli, V.K.R.1    Kar, H.2
  • 22
    • 54049156407 scopus 로고    scopus 로고
    • Robust stability of discrete-time state-delayed systems with saturation nonlinearities: linear matrix inequality approach
    • Kandanvli V.K.R., and Kar H. Robust stability of discrete-time state-delayed systems with saturation nonlinearities: linear matrix inequality approach. Signal Processing 89 (2009) 161-173
    • (2009) Signal Processing , vol.89 , pp. 161-173
    • Kandanvli, V.K.R.1    Kar, H.2
  • 24
    • 34250287560 scopus 로고
    • Doubly indexed dynamical systems state-space models and structural properties
    • Fornasini E., and Marchesini G. Doubly indexed dynamical systems state-space models and structural properties. Math. Syst. Theory 12 (1978) 59-72
    • (1978) Math. Syst. Theory , vol.12 , pp. 59-72
    • Fornasini, E.1    Marchesini, G.2
  • 25
    • 27744535823 scopus 로고    scopus 로고
    • 2 filtering for systems with repeated scalar nonlinearities
    • 2 filtering for systems with repeated scalar nonlinearities. IEEE Trans. Signal Process. 53 (2005) 4215-4226
    • (2005) IEEE Trans. Signal Process. , vol.53 , pp. 4215-4226
    • Gao, H.1    Lames, J.2    Wang, C.3
  • 26
    • 0033100708 scopus 로고    scopus 로고
    • Bounds of the induced norm and model reduction errors for systems with repeated scalar nonlinearities
    • Chu Y.C., and Glover K. Bounds of the induced norm and model reduction errors for systems with repeated scalar nonlinearities. IEEE Trans. Autom. Control 44 (1999) 471-478
    • (1999) IEEE Trans. Autom. Control , vol.44 , pp. 471-478
    • Chu, Y.C.1    Glover, K.2
  • 27
    • 38649083397 scopus 로고    scopus 로고
    • Robust stabilisation for a class of discrete-time systems with time-varying delays via delta operators
    • Qiu J., Xia Y., Yang H., and Zhang J. Robust stabilisation for a class of discrete-time systems with time-varying delays via delta operators. IET Control Theory Appl. 2 (2008) 87-93
    • (2008) IET Control Theory Appl. , vol.2 , pp. 87-93
    • Qiu, J.1    Xia, Y.2    Yang, H.3    Zhang, J.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.