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Volumn 33, Issue 4, 2014, Pages 1189-1214

Reduced-order H ∞ filters for uncertain 2-D continuous systems, via LMIs and polynomial matrices

Author keywords

2 D Continuous systems; Linear matrix inequality (LMI); Uncertain systems

Indexed keywords

MATHEMATICAL TECHNIQUES; SIGNAL PROCESSING; UNCERTAIN SYSTEMS;

EID: 84896935062     PISSN: 0278081X     EISSN: 15315878     Source Type: Journal    
DOI: 10.1007/s00034-013-9689-x     Document Type: Article
Times cited : (27)

References (38)
  • 1
    • 0023997366 scopus 로고
    • The Lyapunov equation for n-dimensional discrete systems
    • 10.1109/31.1762 936284
    • P. Agathoklis, The Lyapunov equation for n-dimensional discrete systems. IEEE Trans. Circuits Syst. CAS-35, 448-451 (1988)
    • (1988) IEEE Trans. Circuits Syst. , vol.35 , pp. 448-451
    • Agathoklis, P.1
  • 5
    • 79959280563 scopus 로고    scopus 로고
    • Stability and robust stability of 2D discrete stochastic systems
    • 545361 10.1155/2011/545361 2788365 11
    • J.R. Cui, G.D. Hu, Q. Zhu, Stability and robust stability of 2D discrete stochastic systems. Discrete Dyn. Nat. Soc. 2011, 545361 (2011), 11 pp.
    • (2011) Discrete Dyn. Nat. Soc. , vol.2011
    • Cui, J.R.1    Hu, G.D.2    Zhu, Q.3
  • 6
    • 0027608543 scopus 로고
    • ∞ filtering for a class of uncertain nonlinear systems
    • 10.1016/0167-6911(93)90103-D
    • ∞ filtering for a class of uncertain nonlinear systems. Syst. Control Lett. 20, 419-426 (1993)
    • (1993) Syst. Control Lett. , vol.20 , pp. 419-426
    • De Sousa, C.E.1    Xie, L.2    Wang, Y.3
  • 9
    • 33748921911 scopus 로고    scopus 로고
    • ∞ filtering for uncertain linear systems
    • 10.1016/j.automatica.2006.06.004 1130.93422 2259134
    • ∞ filtering for uncertain linear systems. Automatica 42, 1919-1926 (2006)
    • (2006) Automatica , vol.42 , pp. 1919-1926
    • Duan, Z.1    Zhang, J.2    Zhang, C.3    Mosca, E.4
  • 13
    • 0024880743 scopus 로고
    • ∞ design of optimal digital filters
    • 10.1093/imamci/6.2.233 0678.93063 1003679
    • ∞ design of optimal digital filters. IMA J. Math. Control Inf. 6, 233-251 (1989)
    • (1989) IMA J. Math. Control Inf. , vol.6 , pp. 233-251
    • Elsayed, A.1    Grimble, M.J.2
  • 14
    • 12244286228 scopus 로고    scopus 로고
    • LMI based stability analysis for 2D continuous systems
    • 10.1109/ICECS.2002.1046399
    • K. Galkowski, LMI based stability analysis for 2D continuous systems. Int. Conf. Electron. Circuits Syst. 3, 923-926 (2002)
    • (2002) Int. Conf. Electron. Circuits Syst. , vol.3 , pp. 923-926
    • Galkowski, K.1
  • 17
    • 0027547748 scopus 로고
    • 2-D Lyapunov equation and filter design based on Fornasini-Marchesini second model
    • 10.1109/81.219824 0825.93827
    • T. Hinamoto, 2-D Lyapunov equation and filter design based on Fornasini-Marchesini second model. IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. 40(2), 102-110 (1993)
    • (1993) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. , vol.40 , Issue.2 , pp. 102-110
    • Hinamoto, T.1
  • 18
    • 43949115158 scopus 로고    scopus 로고
    • LMI conditions for robust stability of 2-D linear discrete-time systems
    • 356124 10.1155/2008/356124 2402981 11
    • A. Hmamed, M. Alfidi, A. Benzaouia, F. Tadeo, LMI conditions for robust stability of 2-D linear discrete-time systems. Math. Probl. Eng. 2008, 356124 (2008), 11 pp.
    • (2008) Math. Probl. Eng. , vol.2008
    • Hmamed, A.1    Alfidi, M.2    Benzaouia, A.3    Tadeo, F.4
  • 21
    • 0043047236 scopus 로고    scopus 로고
    • Controllability of nonlinear 2-D systems
    • 10.1016/S0362-546X(97)00465-3 0896.93005 1602937
    • J. Klamka, Controllability of nonlinear 2-D systems. Nonlinear Anal. Theory Methods Appl. 30(5), 2963-2968 (1997)
    • (1997) Nonlinear Anal. Theory Methods Appl. , vol.30 , Issue.5 , pp. 2963-2968
    • Klamka, J.1
  • 22
    • 64149121763 scopus 로고    scopus 로고
    • Controllability of infinite-dimensional 2-D linear systems
    • 1446318
    • J. Klamka, Controllability of infinite-dimensional 2-D linear systems. Adv. Syst. Sci. Appl. 1(1), 537-543 (1997)
    • (1997) Adv. Syst. Sci. Appl. , vol.1 , Issue.1 , pp. 537-543
    • Klamka, J.1
  • 23
    • 79551472173 scopus 로고    scopus 로고
    • ∞ filter design for uncertain linear systems via LMIs and polynomial matrices
    • 10.1016/j.sigpro.2010.10.013 1222.93127
    • ∞ filter design for uncertain linear systems via LMIs and polynomial matrices. Signal Process. 91, 1115-1122 (2011)
    • (2011) Signal Process. , vol.91 , pp. 1115-1122
    • Lacerda, M.J.1    Oliveira, R.C.L.F.2    Peres, P.D.3
  • 24
    • 0032048448 scopus 로고    scopus 로고
    • Feedback stabilizability of MIMO n-D linear systems
    • 10.1023/A:1008230204251 0896.93029
    • Z. Lin, Feedback stabilizability of MIMO n-D linear systems. Multidimens. Syst. Signal Process. 9, 149-172 (1998)
    • (1998) Multidimens. Syst. Signal Process. , vol.9 , pp. 149-172
    • Lin, Z.1
  • 26
    • 0036601394 scopus 로고    scopus 로고
    • A new method for computing the stability margin of two dimensional continuous systems
    • 10.1109/TCSI.2002.1010042 1911293
    • N.E. Mastorakis, M. Swamy, A new method for computing the stability margin of two dimensional continuous systems. IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. 49(6), 869-872 (2002)
    • (2002) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. , vol.49 , Issue.6 , pp. 869-872
    • Mastorakis, N.E.1    Swamy, M.2
  • 27
    • 0030736074 scopus 로고    scopus 로고
    • ∞ via convex optimization
    • 10.1080/002071797224793 0870.93041
    • ∞ via convex optimization. Int. J. Control 66, 15-22 (1997)
    • (1997) Int. J. Control , vol.66 , pp. 15-22
    • Park, P.G.1    Keileth, T.2
  • 28
    • 80755168348 scopus 로고    scopus 로고
    • ∞ output information-based disturbance attenuation for differential linear repetitive processes
    • 10.1002/rnc.1672 1244.93091 2855306
    • ∞ output information-based disturbance attenuation for differential linear repetitive processes. Int. J. Robust Nonlinear Control 21(17), 1981-1993 (2011)
    • (2011) Int. J. Robust Nonlinear Control , vol.21 , Issue.17 , pp. 1981-1993
    • Paszke, W.1    Rogers, E.2    Galkowski, K.3
  • 29
    • 0025430722 scopus 로고
    • ∞ minimum error state estimation of linear stationary processes
    • 10.1109/9.53521 0706.93063 1048985
    • ∞ minimum error state estimation of linear stationary processes. IEEE Trans. Autom. Control 35, 554-558 (1990)
    • (1990) IEEE Trans. Autom. Control , vol.35 , pp. 554-558
    • Shaked, U.1
  • 30
    • 0035674373 scopus 로고    scopus 로고
    • Robust and reduced-order filtering: New LMI based characterizations and methods
    • 10.1109/78.969506
    • H.D. Tuan, P. Apkarian, T.Q. Nguyen, Robust and reduced-order filtering: new LMI based characterizations and methods. IEEE Trans. Signal Process. 49, 2975-2984 (2001)
    • (2001) IEEE Trans. Signal Process. , vol.49 , pp. 2975-2984
    • Tuan, H.D.1    Apkarian, P.2    Nguyen, T.Q.3
  • 32
    • 35348969878 scopus 로고    scopus 로고
    • ∞ estimation for uncertain continuous-time systems
    • 10.1007/s11424-007-9031-4 2350505
    • ∞ estimation for uncertain continuous-time systems. J. Syst. Sci. Complex. 20, 362-369 (2007)
    • (2007) J. Syst. Sci. Complex. , vol.20 , pp. 362-369
    • Wu, A.G.1    Dong, H.2    Duan, G.3
  • 35
    • 33751015463 scopus 로고    scopus 로고
    • ∞ filtering for singular systems
    • 10.1016/j.sysconle.2006.07.010 1120.93321 2281481
    • ∞ filtering for singular systems. Syst. Control Lett. 56, 48-57 (2007)
    • (2007) Syst. Control Lett. , vol.56 , pp. 48-57
    • Xu, S.1    Lam, J.2
  • 36
    • 0037055122 scopus 로고    scopus 로고
    • ∞ filtering for a class of nonlinear systems with state delay and parameter uncertainty
    • 10.1080/00207170210141815 1010.93101
    • ∞ filtering for a class of nonlinear systems with state delay and parameter uncertainty. Int. J. Control 75, 766-774 (2002)
    • (2002) Int. J. Control , vol.75 , pp. 766-774
    • Xu, S.1    Van Dooren, P.2
  • 37
    • 0028259472 scopus 로고
    • Output feedback stabilizability and stabilization algorithms for 2-D systems
    • 10.1007/BF00985862 0792.93105
    • L. Xu, O. Saito, K. Abe, Output feedback stabilizability and stabilization algorithms for 2-D systems. Multidimens. Syst. Signal Process. 5(1), 41-60 (1994)
    • (1994) Multidimens. Syst. Signal Process. , vol.5 , Issue.1 , pp. 41-60
    • Xu, L.1    Saito, O.2    Abe, K.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.