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Volumn 218, Issue 6, 2011, Pages 2880-2888

Improved delay-dependent robust stability criteria for uncertain time delay systems

Author keywords

Delay dependent; Linear matrix inequality (LMI); Robust stability; Uncertain time delay systems

Indexed keywords

DELAY-DEPENDENT; DELAY-DEPENDENT ROBUST STABILITY; LINEAR MATRIX INEQUALITY (LMI); LYAPUNOV FUNCTIONALS; MATRIX; NUMERICAL EXAMPLE; ROBUST STABILITY; ROBUST STABILITY ANALYSIS; TIME-VARYING DELAY; UNCERTAIN TIME-DELAY SYSTEM; UPPER BOUND;

EID: 80053264728     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2011.08.031     Document Type: Article
Times cited : (45)

References (32)
  • 1
    • 0036859974 scopus 로고    scopus 로고
    • An improved stabilization method for linear time-delay systems
    • DOI 10.1109/TAC.2002.804462
    • E. Fridman, and U. Shake An improved stabilization method for linear time-delay systems IEEE Transactions Automatic Control 47 2002 1931 1937 (Pubitemid 35426901)
    • (2002) IEEE Transactions on Automatic Control , vol.47 , Issue.11 , pp. 1931-1937
    • Fridman, E.1    Shaked, U.2
  • 3
    • 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 2004 1087 1092
    • (2004) Automatica , vol.40 , pp. 1087-1092
    • Han, Q.L.1
  • 5
    • 3843091678 scopus 로고    scopus 로고
    • An LMI approach to stability of systems with severe time-delay
    • J.X. Jing, D.L. Tan, and Y.C. Wang An LMI approach to stability of systems with severe time-delay IEEE Transactions Automatic Control 49 2004 1192 1195
    • (2004) IEEE Transactions Automatic Control , vol.49 , pp. 1192-1195
    • Jing, J.X.1    Tan, D.L.2    Wang, Y.C.3
  • 6
    • 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 2004 1435 1439
    • (2004) Automatica , vol.40 , pp. 1435-1439
    • Wu, M.1    He, Y.2    She, J.H.3    Liu, G.P.4
  • 7
    • 0242659944 scopus 로고    scopus 로고
    • Delay-dependent robust stability criteria for uncertain neutral systems with mixed delays
    • Y. He, M. Wu, J.H. She, and G.P. Liu Delay-dependent robust stability criteria for uncertain neutral systems with mixed delays Systems and Control Letters 51 2004 57 65
    • (2004) Systems and Control Letters , vol.51 , pp. 57-65
    • He, Y.1    Wu, M.2    She, J.H.3    Liu, G.P.4
  • 8
    • 31344436881 scopus 로고    scopus 로고
    • A less conservative robust stability test for linear uncertain time-delay systems
    • DOI 10.1109/TAC.2005.861720
    • C. Lin, Q.G. Wang, and T.H. Lee A less conservative robust stability test for linear uncertain time-delay systems IEEE Transactions Automatic Control 51 2006 87 91 (Pubitemid 43137933)
    • (2006) IEEE Transactions on Automatic Control , vol.51 , Issue.1 , pp. 87-91
    • Lin, C.1    Wang, Q.-G.2    Lee, T.H.3
  • 9
    • 20144369231 scopus 로고    scopus 로고
    • Delay-dependent stabilization of linear systems with time-varying state and input delays
    • DOI 10.1016/j.automatica.2005.03.009, PII S0005109805001068
    • X.M. Zhang, M. Wu, J.H. She, and Y. He Delay-dependent stabilization of linear systems with time-varying state and input delays Automatica 41 2005 1405 1412 (Pubitemid 40774096)
    • (2005) Automatica , vol.41 , Issue.8 , pp. 1405-1412
    • Zhang, X.-M.1    Wu, M.2    She, J.-H.3    He, Y.4
  • 10
    • 27344460615 scopus 로고    scopus 로고
    • ∞ control for linear systems with interval time-varying delay
    • DOI 10.1016/j.automatica.2005.06.012, PII S0005109805002645
    • ∞ control for linear systems with interval time-varying delay Automatica 41 2005 2099 2106 (Pubitemid 41525668)
    • (2005) Automatica , vol.41 , Issue.12 , pp. 2099-2106
    • Jiang, X.1    Han, Q.-L.2
  • 11
    • 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 L. Chong Further improvement of free-weighting matrices technique for systems with time-varying delay IEEE Transactions Automatic Control 52 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
  • 12
    • 49749140780 scopus 로고    scopus 로고
    • Delay-range-dependent robust stability and stabilization for uncertain systems with time-varying delay
    • T. Li, L. Guo, and Y. Zhang Delay-range-dependent robust stability and stabilization for uncertain systems with time-varying delay International Journal of Robust and Nonlinear Control 18 2008 1372 1387
    • (2008) International Journal of Robust and Nonlinear Control , vol.18 , pp. 1372-1387
    • Li, T.1    Guo, L.2    Zhang, Y.3
  • 13
    • 51749105223 scopus 로고    scopus 로고
    • On robust stability criterion for dynamic systems with time-varying delays and nonlinear perturbations
    • O.M. Kown, J.H. Park, and S.M. Lee On robust stability criterion for dynamic systems with time-varying delays and nonlinear perturbations Applied Mathematics and Computation 203 2008 937 942
    • (2008) Applied Mathematics and Computation , vol.203 , pp. 937-942
    • Kown, O.M.1    Park, J.H.2    Lee, S.M.3
  • 14
    • 0036475679 scopus 로고    scopus 로고
    • An improvement on "delay and its time-derivative dependent robust stability of time-delayed linear systems with uncertainty"
    • DOI 10.1109/9.983390, PII S0018928602020901
    • D. Yue, and S. Won An improvement on delay and its time-derivative dependent robust stability of time-delay linear systems with uncertainty IEEE Transactions on Automatic Control 47 2002 407 408 (Pubitemid 34291565)
    • (2002) IEEE Transactions on Automatic Control , vol.47 , Issue.2 , pp. 407-408
    • Yue, D.1    Won, S.2
  • 15
    • 39049086696 scopus 로고    scopus 로고
    • Delay-dependent robust stability criteria for uncertain systems with interval time-varying delay
    • DOI 10.1016/j.cam.2007.03.009, PII S0377042707001501
    • C. Peng, and Y.C. Tian Dleay-dependent robust stability criteria for uncertain systems with interval time-varying delay Journal of Computational and Applied Mathematics 214 2008 480 494 (Pubitemid 351241082)
    • (2008) Journal of Computational and Applied Mathematics , vol.214 , Issue.2 , pp. 480-494
    • Peng, C.1    Tian, Y.-C.2
  • 16
    • 0036949864 scopus 로고    scopus 로고
    • ∞ control for uncertain stochastic systems with state delay
    • ∞ control for uncertain stochastic systems with state delay IEEE Transactions on Automatic Control 47 2002 2089 2094
    • (2002) IEEE Transactions on Automatic Control , vol.47 , pp. 2089-2094
    • Xu, S.Y.1    Chen, T.2
  • 17
    • 0036577212 scopus 로고    scopus 로고
    • ∞ control for uncertain linear neutral delay systems
    • DOI 10.1002/oca.705
    • ∞ control for uncertain linear neutral delay systems Optimal Control Applications and Methods 23 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
  • 18
    • 33646892041 scopus 로고    scopus 로고
    • Robust stability of uncertain time-varying state-delayed systems
    • DOI 10.1049/ip-cta:20050099
    • M.N.A. Parlakci Robust stability of uncertain time-varying state-delayed systems Control Theory Application 153 2006 469 477 (Pubitemid 43781901)
    • (2006) IEE Proceedings: Control Theory and Applications , vol.153 , Issue.4 , pp. 469-477
    • Parlakci, M.N.A.1
  • 19
    • 1042300602 scopus 로고    scopus 로고
    • ∞ control for uncertain discrete stochastic time-delay systems
    • ∞ control for uncertain discrete stochastic time-delay systems Systems and Control Letters 51 2004 03 215
    • (2004) Systems and Control Letters , vol.51 , pp. 03-215
    • Xu, S.Y.1    Lam, J.2    Chen, T.W.3
  • 20
    • 34247181932 scopus 로고    scopus 로고
    • Delay and its time-derivative dependent robust stability of neutral control system
    • DOI 10.1016/j.amc.2006.09.042, PII S0096300306012719
    • Z.R. Zhao, W. Wang, and B. Yang Delay-dependent robust stability of neutral control system Applied Mathematics and Computation 187 2007 1326 1332 (Pubitemid 46627918)
    • (2007) Applied Mathematics and Computation , vol.187 , Issue.2 , pp. 1326-1332
    • Zhao, Z.1    Wang, W.2    Yang, B.3
  • 21
    • 34548532562 scopus 로고    scopus 로고
    • Stability and robust stability for systems with a time-varying delay
    • DOI 10.1016/j.automatica.2007.02.022, PII S0005109807001938
    • P. Park, and J.W. Ko Stability and robust stability for systems with a time-varying delay Automatica 43 2007 1855 1858 (Pubitemid 47381431)
    • (2007) Automatica , vol.43 , Issue.10 , pp. 1855-1858
    • Park, P.1    Wan Ko, J.2
  • 22
    • 15844419388 scopus 로고    scopus 로고
    • Novel stability criterion of time delay systems with nonlinear uncertainties
    • DOI 10.1016/j.aml.2004.04.013, PII S0893965904003805
    • J.H. Park, and O. Kwon Novel stability criterion of time-delay systems with nonlinear uncertainties Applied Mathematics Letters 18 2005 683 688 (Pubitemid 40423886)
    • (2005) Applied Mathematics Letters , vol.18 , Issue.6 SPEC. ISS. , pp. 683-688
    • Park, J.H.1    Kwon, O.2
  • 23
    • 29244458664 scopus 로고    scopus 로고
    • ∞ control for systems with time-varying delays
    • DOI 10.1016/j.automatica.2005.09.013, PII S0005109805003626
    • ∞ control for systems with time-varying delays Automatica 42 2006 343 348 (Pubitemid 41828196)
    • (2006) Automatica , vol.42 , Issue.2 , pp. 343-348
    • Xu, S.1    Lam, J.2    Zou, Y.3
  • 24
    • 31644448583 scopus 로고    scopus 로고
    • Robust stabilization of uncertain systems with delays in control input: A matrix inequality approach
    • DOI 10.1016/j.amc.2005.03.008, PII S009630030500278X
    • O.M. Kwon, and J.H. Park Robust stabilization of uncertain systems with delays in control input: a matrix inequality approach Applied Mathematics and Computation 172 2006 1067 1077 (Pubitemid 43171901)
    • (2006) Applied Mathematics and Computation , vol.172 , Issue.2 SPEC. ISS. , pp. 1067-1077
    • Kwon, O.M.1    Park, J.H.2
  • 25
  • 26
    • 70449623984 scopus 로고    scopus 로고
    • Further results on robust stability of neutral system with mixed time-varying delays and nonlinear perturbtions
    • F. Qiu, B.T. Cui, and Y. Ji Further results on robust stability of neutral system with mixed time-varying delays and nonlinear perturbtions Nonlinear Analysis: Real World Applications 11 2010 895 906
    • (2010) Nonlinear Analysis: Real World Applications , vol.11 , pp. 895-906
    • Qiu, F.1    Cui, B.T.2    Ji, Y.3
  • 27
    • 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 Transactions Automatic Control 49 2004 828 832
    • (2004) IEEE Transactions Automatic Control , vol.49 , pp. 828-832
    • He, Y.1    Wu, M.2    She, J.H.3    Liu, G.P.4
  • 28
    • 79960460783 scopus 로고    scopus 로고
    • Observer-based passive control for nonlinear uncertain time-delay jump systems
    • S. He, and F. Liu Observer-based passive control for nonlinear uncertain time-delay jump systems Acta Mathematica Scientia 29A 2009 334 343
    • (2009) Acta Mathematica Scientia , vol.29 A , pp. 334-343
    • He, S.1    Liu, F.2
  • 29
    • 63749128946 scopus 로고    scopus 로고
    • Delay-dependent passive control of stochastic delay systems
    • Y. Chen, A.K. Xue, and J.H. Wang Delay-dependent passive control of stochastic delay systems Acta Automatica Sinica 35 2009 324 327
    • (2009) Acta Automatica Sinica , vol.35 , pp. 324-327
    • Chen, Y.1    Xue, A.K.2    Wang, J.H.3
  • 30
    • 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 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
  • 31
    • 77649234563 scopus 로고    scopus 로고
    • ∞ control for uncertain systems with interval time-varying delays
    • ∞ control for uncertain systems with interval time-varying delays Neurocomputing 73 2010 1235 1243
    • (2010) Neurocomputing , vol.73 , pp. 1235-1243
    • Yan, H.C.1    Zhang, H.2    Meng, M.Q.3
  • 32
    • 77549085614 scopus 로고    scopus 로고
    • A delay-partitioning approach to the stability analysis of discrete-time systems
    • X.Y. Meng, J. Lam, B.Z. Du, and H.J. Gao A delay-partitioning approach to the stability analysis of discrete-time systems Automatica 46 2010 610 614
    • (2010) Automatica , vol.46 , pp. 610-614
    • Meng, X.Y.1    Lam, J.2    Du, B.Z.3    Gao, H.J.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.