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Volumn 348, Issue 8, 2011, Pages 2174-2190

Delay-dependent non-fragile robust stabilization and H∞ control of uncertain stochastic systems with time-varying delay and nonlinearity

Author keywords

[No Author keywords available]

Indexed keywords

ADMISSIBLE PARAMETERS; CONTROL PROBLEMS; DELAY-DEPENDENT; FREE-WEIGHTING MATRICES; INPUT MATRICES; LYAPUNOV FUNCTIONAL METHOD; MEMORYLESS; NON-FRAGILE; NON-LINEARITY; NONLINEAR TIME-DELAY SYSTEMS; NUMERICAL EXAMPLE; PARAMETER UNCERTAINTY; ROBUST H; ROBUST STABILIZATION; STABILITY REQUIREMENTS; STATE FEEDBACK CONTROLLER; STOCHASTIC STABILIZATION; SUFFICIENT CONDITIONS; THEORETICAL RESULT; TIME VARYING; TIME-VARYING DELAY; UNCERTAIN STOCHASTIC SYSTEMS;

EID: 80052599579     PISSN: 00160032     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jfranklin.2011.06.010     Document Type: Article
Times cited : (32)

References (36)
  • 1
    • 0036949864 scopus 로고    scopus 로고
    • ∞ control for uncertain stochastic systems with state delay
    • ∞ control for uncertain stochastic systems with state delay IEEE Trans. Autom. Control 47 12 2002 2089 2094
    • (2002) IEEE Trans. Autom. Control , vol.47 , Issue.12 , pp. 2089-2094
    • Xu, S.Y.1    Chen, T.2
  • 2
    • 0036577212 scopus 로고    scopus 로고
    • H control for uncertain linear neutral delay systems
    • DOI 10.1002/oca.705
    • ∞ control for uncertain linear neutral delay systems Optim. Control Appl. Methods 23 3 2002 113 123 (Pubitemid 34725567)
    • (2002) Optimal Control Applications and Methods , vol.23 , Issue.3 , pp. 113-123
    • Xu, S.1    Lam, J.2    Yang, C.3
  • 3
    • 33744736605 scopus 로고    scopus 로고
    • Delay-dependent robust control of descriptor systems with time delay
    • R. Zhong, and Z. Yang Delay-dependent robust control of descriptor systems with time delay Asian J. Control 8 1 2006 36 44 (Pubitemid 43820466)
    • (2006) Asian Journal of Control , vol.8 , Issue.1 , pp. 36-44
    • Zhong, R.1    Yang, Z.2
  • 4
    • 2042535997 scopus 로고    scopus 로고
    • On robust stability of neutral systems with time-varying discrete delay and norm-bounded uncertainty
    • Q.L. Han On robust stability of neutral systems with time-varying discrete delay and norm-bounded uncertainty Automatica 40 6 2004 1087 1092
    • (2004) Automatica , vol.40 , Issue.6 , pp. 1087-1092
    • Han, Q.L.1
  • 5
    • 14644389415 scopus 로고    scopus 로고
    • Delay-dependent exponential stability of stochastic systems with time-varying delay, nonlinearity, and Markovian switching
    • DOI 10.1109/TAC.2004.841935
    • D. Yue, and Q.L. Han Delay-dependent exponential stability of stochastic systems with time-varying delay, nonlinearity, and Markovian switching IEEE Trans. Autom. Control 50 2 2005 217 222 (Pubitemid 40319352)
    • (2005) IEEE Transactions on Automatic Control , vol.50 , Issue.2 , pp. 217-222
    • Yue, D.1    Han, Q.-L.2
  • 6
    • 0035913133 scopus 로고    scopus 로고
    • Delay-dependent robust stability of stochastic systems with time delay and nonlinear uncertainties
    • DOI 10.1049/el:20010632
    • D. Yue, and S. Won Delay-dependent robust stability of stochastic systems with time-delay and nonlinear uncertainties IEE Electron. Lett. 37 15 2001 992 993 (Pubitemid 32705176)
    • (2001) Electronics Letters , vol.37 , Issue.15 , pp. 992-993
    • Yue, D.1    Won, S.2
  • 7
    • 39749088114 scopus 로고    scopus 로고
    • On delay-dependent stability for a class of nonlinear stochastic systems with multiple state delays
    • DOI 10.1016/j.na.2007.01.046, PII S0362546X07000995
    • M. Basin, and A. Rodkina On delay-dependent stability for a class of nonlinear stochastic systems with multiple state delays Nonlinear Anal. Theory Methods Appl. 68 8 2008 2147 2157 (Pubitemid 351295813)
    • (2008) Nonlinear Analysis, Theory, Methods and Applications , vol.68 , Issue.8 , pp. 2147-2157
    • Basin, M.1    Rodkina, A.2
  • 8
    • 33845939101 scopus 로고    scopus 로고
    • Delay-range-dependent stability for systems with time-varying delay
    • DOI 10.1016/j.automatica.2006.08.015, PII S0005109806003694
    • Y. He, Q.G. Wang, C. Lin, and M. Wu Delay-range-dependent stability for systems with time-varying delay Automatica 43 2 2007 371 376 (Pubitemid 46037586)
    • (2007) Automatica , vol.43 , Issue.2 , pp. 371-376
    • He, Y.1    Wang, Q.-G.2    Lin, C.3    Wu, M.4
  • 9
    • 53349120647 scopus 로고    scopus 로고
    • Delay-dependent robust stability for stochastic time-delay systems with polytopic uncertainties
    • H. Li, B. Chen, Q. Zhou, and C. Lin Delay-dependent robust stability for stochastic time-delay systems with polytopic uncertainties Int. J. Robust Nonlinear Control 18 15 2008 1482 1492
    • (2008) Int. J. Robust Nonlinear Control , vol.18 , Issue.15 , pp. 1482-1492
    • Li, H.1    Chen, B.2    Zhou, Q.3    Lin, C.4
  • 10
    • 52149098581 scopus 로고    scopus 로고
    • ∞ control for uncertain fuzzy systems with time-varying delays
    • ∞ control for uncertain fuzzy systems with time-varying delays Nonlinear Anal. 68 1 2008 1352 1361
    • (2008) Nonlinear Anal. , vol.68 , Issue.1 , pp. 1352-1361
    • Liu, X.W.1
  • 11
    • 17844365843 scopus 로고    scopus 로고
    • Delay-dependent exponential stability of uncertain stochastic systems with multiple delays: An LMI approach
    • W.H. Chen, Z.H. Guan, and X.M. Lu Delay-dependent exponential stability of uncertain stochastic systems with multiple delays: an LMI approach Syst. Control Lett. 54 6 2005 547 555
    • (2005) Syst. Control Lett. , vol.54 , Issue.6 , pp. 547-555
    • Chen, W.H.1    Guan, Z.H.2    Lu, X.M.3
  • 12
    • 33847030256 scopus 로고    scopus 로고
    • ∞ control of uncertain neutral systems with state and input delays: LMI optimization approach
    • ∞ control of uncertain neutral systems with state and input delays: LMI optimization approach Chaos, Solitons Fractals 33 2 2007 595 606
    • (2007) Chaos, Solitons Fractals , vol.33 , Issue.2 , pp. 595-606
    • Chen, J.D.1
  • 13
    • 33645144604 scopus 로고    scopus 로고
    • Delay-dependent guaranteed cost control of uncertain system with state and input delays
    • S. Xu, J. Lam, and Y. Zou Delay-dependent guaranteed cost control of uncertain system with state and input delays IEE Proc. Control Theory Appl. 153 6 2006 307 313
    • (2006) IEE Proc. Control Theory Appl. , vol.153 , Issue.6 , pp. 307-313
    • Xu, S.1    Lam, J.2    Zou, Y.3
  • 14
    • 33646159279 scopus 로고    scopus 로고
    • On improved robust stabilization of uncertain systems with unknown input delay
    • W.H. Chen, and W.X. Zheng On improved robust stabilization of uncertain systems with unknown input delay Automatica 42 6 2006 1067 1072
    • (2006) Automatica , vol.42 , Issue.6 , pp. 1067-1072
    • Chen, W.H.1    Zheng, W.X.2
  • 15
    • 0035922479 scopus 로고    scopus 로고
    • Delay-dependent robust stabilization of uncertain state-delayed systems
    • Y.S. Moon, and W.H. Kwon Delay-dependent robust stabilization of uncertain state-delayed systems Int. J. Control 74 14 2001 1447 1455
    • (2001) Int. J. Control , vol.74 , Issue.14 , pp. 1447-1455
    • Moon, Y.S.1    Kwon, W.H.2
  • 16
    • 65049090952 scopus 로고    scopus 로고
    • Robust delayed-state-feedback stabilization of uncertain stochastic systems
    • L.R. Huang, and X. Mao Robust delayed-state-feedback stabilization of uncertain stochastic systems Automatica 45 5 2009 1332 1339
    • (2009) Automatica , vol.45 , Issue.5 , pp. 1332-1339
    • Huang, L.R.1    Mao, X.2
  • 17
    • 3543121720 scopus 로고    scopus 로고
    • ∞ control of uncertain stochastic systems with time-varying delay
    • ∞ control of uncertain stochastic systems with time-varying delay IMA J. Math. Control Inf. 21 3 2004 345 358
    • (2004) IMA J. Math. Control Inf. , vol.21 , Issue.3 , pp. 345-358
    • Chen, W.1    Guan, Z.2    Lu, X.3
  • 19
    • 0012716497 scopus 로고    scopus 로고
    • ∞ control: Constant and time-varying delays
    • ∞ control: constant and time-varying delays Int. J. Control 76 2003 48 60
    • (2003) Int. J. Control , vol.76 , pp. 48-60
    • Fridman, E.1    Shaked, U.2
  • 20
    • 2942594461 scopus 로고    scopus 로고
    • Parameter-dependent Lyapunov functional for stability of time-delay systems with polytopic-type uncertainties
    • Y. He, M. Wu, J.H. She, and G.P. Liu Parameter-dependent Lyapunov functional for stability of time-delay systems with polytopic-type uncertainties IEEE Trans. Autom. Control 49 2004 828 832
    • (2004) IEEE Trans. Autom. Control , vol.49 , pp. 828-832
    • He, Y.1    Wu, M.2    She, J.H.3    Liu, G.P.4
  • 21
    • 2942604608 scopus 로고    scopus 로고
    • Delay-dependent criteria for robust stability of time-varying delay systems
    • M. Wu, Y. He, J.H. She, and G.P. Liu Delay-dependent criteria for robust stability of time-varying delay systems Automatica 40 8 2004 1435 1439
    • (2004) Automatica , vol.40 , Issue.8 , pp. 1435-1439
    • Wu, M.1    He, Y.2    She, J.H.3    Liu, G.P.4
  • 22
    • 33947427956 scopus 로고    scopus 로고
    • Further improvement of free-weighting matrices technique for systems with time-varying delay
    • DOI 10.1109/TAC.2006.887907
    • Y. He, Q.G. Wang, L.H. Xie, and C. Lin Further improvement of free-weighting matrices technique for systems with time-varying delay IEEE Trans. Autom. Control 52 2 2007 293 299 (Pubitemid 46444284)
    • (2007) IEEE Transactions on Automatic Control , vol.52 , Issue.2 , pp. 293-299
    • He, Y.1    Wang, Q.-G.2    Xie, L.3    Lin, C.4
  • 24
    • 17444426057 scopus 로고    scopus 로고
    • Non-fragile guaranteed cost control for uncertain descriptor systems with time-varying state and input delays
    • DOI 10.1002/oca.753
    • D. Yue, and J. Lam Non-fragile guaranteed cost for uncertain descriptor systems with time-varying state and input delays Optim. Control Appl. Methods 26 2 2005 85 105 (Pubitemid 40539458)
    • (2005) Optimal Control Applications and Methods , vol.26 , Issue.2 , pp. 85-105
    • Yue, D.1    Lam, J.2
  • 25
    • 1842425365 scopus 로고    scopus 로고
    • Non-fragile positive real control for uncertain linear neutral delay systems
    • S. Xu, J. Lam, J.L. Wang, and G.H. Yang Non-fragile positive real control for uncertain linear neutral delay systems Syst. Control Lett. 52 1 2004 59 74
    • (2004) Syst. Control Lett. , vol.52 , Issue.1 , pp. 59-74
    • Xu, S.1    Lam, J.2    Wang, J.L.3    Yang, G.H.4
  • 26
    • 33746798103 scopus 로고    scopus 로고
    • H control for uncertain stochastic time-delay systems via non-fragile controllers
    • ∞ control for uncertain stochastic time-delay systems via non-fragile controllers Asian J. Control 8 2 2006 197 200 (Pubitemid 44171792)
    • (2006) Asian Journal of Control , vol.8 , Issue.2 , pp. 197-200
    • Xu, S.1    Lam, J.2    Yang, G.-H.3    Wang, J.4
  • 27
    • 67651210698 scopus 로고    scopus 로고
    • ∞ control for uncertain stochastic nonlinear time-delay systems
    • ∞ control for uncertain stochastic nonlinear time-delay systems Chaos Solitons Fractals 42 5 2009 3187 3196
    • (2009) Chaos Solitons Fractals , vol.42 , Issue.5 , pp. 3187-3196
    • Zhang, J.H.1    Shi, P.2    Yang, H.J.3
  • 28
    • 0346750520 scopus 로고    scopus 로고
    • Robust non-fragile control for uncertain discrete-delay large-scale systems with a class of controller gain variations
    • J.H. Park Robust non-fragile control for uncertain discrete-delay large-scale systems with a class of controller gain variations Appl. Math. Comput. 149 1 2004 147 164
    • (2004) Appl. Math. Comput. , vol.149 , Issue.1 , pp. 147-164
    • Park, J.H.1
  • 29
    • 58149483587 scopus 로고    scopus 로고
    • ∞ control for uncertain fuzzy neutral systems
    • ∞ control for uncertain fuzzy neutral systems Fuzzy Sets Syst. 160 4 2009 423 438
    • (2009) Fuzzy Sets Syst. , vol.160 , Issue.4 , pp. 423-438
    • Yang, J.1    Zhong, S.M.2    Xiong, L.L.3
  • 30
    • 34548277417 scopus 로고    scopus 로고
    • H control for uncertain fuzzy systems
    • DOI 10.1016/j.ins.2007.05.004, PII S0020025507002332
    • ∞ control for uncertain fuzzy systems Inf. Sci. 177 22 2007 5118 5133 (Pubitemid 47331450)
    • (2007) Information Sciences , vol.177 , Issue.22 , pp. 5118-5133
    • Zhang, B.1    Zhou, S.2    Li, T.3
  • 31
    • 34147164474 scopus 로고    scopus 로고
    • ∞ non-fragile observer-based controls of dynamical systems via LMI optimization approach
    • ∞ non-fragile observer-based controls of dynamical systems via LMI optimization approach Chaos Solitons Fractals 34 2 2007 428 436
    • (2007) Chaos Solitons Fractals , vol.34 , Issue.2 , pp. 428-436
    • Lien, C.H.1
  • 32
    • 75149176200 scopus 로고    scopus 로고
    • ∞ non-fragile observer-based sliding mode control for uncertain time-delay systems
    • ∞ non-fragile observer-based sliding mode control for uncertain time-delay systems J. Franklin Inst. 347 2 2010 567 576
    • (2010) J. Franklin Inst. , vol.347 , Issue.2 , pp. 567-576
    • Lei, L.P.1    Han, Z.Z.2    Li, W.L.3
  • 33
    • 54049130759 scopus 로고    scopus 로고
    • ∞ observer-based control for continuous time-delay systems
    • ∞ observer-based control for continuous time-delay systems Inf. Sci. 178 24 2008 4699 4706
    • (2008) Inf. Sci. , vol.178 , Issue.24 , pp. 4699-4706
    • Chen, J.D.1    Yang, C.D.2    Lien, C.H.3    Horng, J.4
  • 34
    • 68349113790 scopus 로고    scopus 로고
    • Non-fragile guaranteed cost control for uncertain stochastic nonlinear time-delay systems
    • J.H. Zhang, P. Shi, and J.Q. Qiu Non-fragile guaranteed cost control for uncertain stochastic nonlinear time-delay systems J. Franklin Inst. 346 7 2009 676 690
    • (2009) J. Franklin Inst. , vol.346 , Issue.7 , pp. 676-690
    • Zhang, J.H.1    Shi, P.2    Qiu, J.Q.3
  • 35
    • 77649234563 scopus 로고    scopus 로고
    • ∞ control for uncertain systems with interval time-varying delays
    • ∞ control for uncertain systems with interval time-varying delays Neurocomput. 73 2010 1235 1243
    • (2010) Neurocomput. , vol.73 , pp. 1235-1243
    • Yan, H.C.1    Zhang, Z.2    Meng, M.3


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