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Volumn 217, Issue 21, 2011, Pages 8236-8247

Delay-dependent exponential stabilization for uncertain linear systems with interval non-differentiable time-varying delays

Author keywords

Exponential stabilization; Interval time varying delays; Linear matrix inequalities; Lyapunov function

Indexed keywords

CONTINUOUS FUNCTIONS; DELAY FUNCTION; DELAY-DEPENDENT; EXPONENTIAL STABILIZATION; INTERVAL TIME-VARYING DELAYS; LOWER AND UPPER BOUNDS; LYAPUNOV; LYAPUNOV-KRASOVSKII FUNCTIONALS; NON-DIFFERENTIABLE; NUMERICAL EXAMPLE; SUFFICIENT CONDITIONS; TIME-VARYING DELAY; UNCERTAIN LINEAR SYSTEM;

EID: 79956134920     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2011.02.097     Document Type: Article
Times cited : (50)

References (27)
  • 3
    • 11244270377 scopus 로고    scopus 로고
    • Stability for time-varying linear dynamical systems on time scale
    • J.J. DaCunha Stability for time-varying linear dynamical systems on time scale J. Comput. Appl. Math. 176 2000 381 410
    • (2000) J. Comput. Appl. Math. , vol.176 , pp. 381-410
    • Dacunha, J.J.1
  • 4
    • 7444270647 scopus 로고    scopus 로고
    • Exponential estimates for time-delay systems
    • V.L. Kharitonov, and D. Hinrichsen Exponential estimates for time-delay systems Syst. Control Lett. 53 2004 395 405
    • (2004) Syst. Control Lett. , vol.53 , pp. 395-405
    • Kharitonov, V.L.1    Hinrichsen, D.2
  • 5
    • 0000023997 scopus 로고    scopus 로고
    • On the Liapunov-Krasovskii functionals for stability analysis of linear delay systems
    • V.B. Kolmanovskii, S. Niculescu, and J.P. Richard On the Lyapunov-Krasovskii functionals for stability analysis of linear delay systems Int. J. Control 72 1999 374 384 (Pubitemid 129585807)
    • (1999) International Journal of Control , vol.72 , Issue.4 , pp. 374-384
    • Kolmanovskii, V.B.1    Niculescu, S.-I.2    Richard, J.-P.3
  • 6
    • 0037163935 scopus 로고    scopus 로고
    • Robust state estimation for a class of uncertain time-delay systems
    • DOI 10.1016/S0167-6911(02)00203-7, PII S0167691102002037
    • V.N. Phat, and A.V. Savkin Robust state estimation for a class of linear uncertain time-delay systems Syst. Control Lett. 47 2002 237 245 (Pubitemid 35039827)
    • (2002) Systems and Control Letters , vol.47 , Issue.3 , pp. 237-245
    • Phat, V.N.1    Savkin, A.V.2
  • 7
    • 79956080821 scopus 로고    scopus 로고
    • Exponential stability criteria of with multiple delays
    • V.N. Phat, and P.T. Nam Exponential stability criteria of with multiple delays Elect. J. Diff. Eqn. 58 2005 1 9
    • (2005) Elect. J. Diff. Eqn. , vol.58 , pp. 1-9
    • Phat, V.N.1    Nam, P.T.2
  • 8
    • 9744248799 scopus 로고    scopus 로고
    • On improved delay-dependent robust control for uncertain time-delay systems
    • O.M. Kwon, and J.H. Park On improved delay-dependent robust control for uncertain time-delay systems IEEE Trans. Automat. Control 49 2004 1991 1995
    • (2004) IEEE Trans. Automat. Control , vol.49 , pp. 1991-1995
    • Kwon, O.M.1    Park, J.H.2
  • 9
    • 68949141672 scopus 로고    scopus 로고
    • Novel robust stability criteria for uncertain systems with time-varying delay
    • W. Qian, S. Cong, Y. Sun, and S. Fei Novel robust stability criteria for uncertain systems with time-varying delay Appl. Math. Comput. 215 2009 866 872
    • (2009) Appl. Math. Comput. , vol.215 , pp. 866-872
    • Qian, W.1    Cong, S.2    Sun, Y.3    Fei, S.4
  • 10
    • 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 Appl. Math. Lett. 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
  • 11
    • 0031200034 scopus 로고    scopus 로고
    • Delay-dependent robust stability and stabilization of uncertain linear delay systems: A linear matrix inequality approach
    • PII S0018928697050629
    • X. Li, and C.E. de Souza Delay-dependent robust stability and stabilization of uncertain linear delay systems: a linear matrix inequality approach IEEE Trans. Automat. Control 42 1997 1144 1148 (Pubitemid 127760285)
    • (1997) IEEE Transactions on Automatic Control , vol.42 , Issue.8 , pp. 1144-1148
    • Li, X.1    De Souza, C.E.2
  • 12
    • 58549100657 scopus 로고    scopus 로고
    • Delay-range-dependent stabilization of uncertain dynamic systems with interval time-varying delays
    • O.M. Kwon, and J.H. Park Delay-range-dependent stabilization of uncertain dynamic systems with interval time-varying delays Appl. Math. Comput. 208 2009 58 68
    • (2009) Appl. Math. Comput. , vol.208 , pp. 58-68
    • Kwon, O.M.1    Park, J.H.2
  • 13
    • 0026910256 scopus 로고
    • Robust control of a class of uncertain nonlinear systems
    • DOI 10.1016/0167-6911(92)90097-C
    • Y. Wang, L. Xie, and C.E. de Souza Robust control of a class of uncertain nonlinear systems Syst. Control Lett. 19 1992 139 149 (Pubitemid 23572546)
    • (1992) Systems and Control Letters , vol.19 , Issue.2 , pp. 139-149
    • Wang Youyi1    Xie Lihua2    De Souza Carlos, E.3
  • 14
    • 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. Zhanga, M. Wua, J.-H. Shec, 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
  • 16
    • 67349171823 scopus 로고    scopus 로고
    • Exponential stability and stabilization of a class of uncertain linear time-delay systems
    • L.V. Hien, and V.N. Phat Exponential stability and stabilization of a class of uncertain linear time-delay systems J. Franklin Inst. 346 2009 611 625
    • (2009) J. Franklin Inst. , vol.346 , pp. 611-625
    • Hien, L.V.1    Phat, V.N.2
  • 17
    • 47049093280 scopus 로고    scopus 로고
    • Robust exponentially stability and stabilization of linear uncertain polytopic time-delay systems
    • P.T. Nam, and V.N. Phat Robust exponentially stability and stabilization of linear uncertain polytopic time-delay systems J. Control Theory Appl. 6 2 2008 163 170
    • (2008) J. Control Theory Appl. , vol.6 , Issue.2 , pp. 163-170
    • Nam, P.T.1    Phat, V.N.2
  • 18
    • 77957976271 scopus 로고    scopus 로고
    • Robust exponential stability and stabilizability of linear parameter dependent systems with delays
    • T. Botmart, and P. Niamsup Robust exponential stability and stabilizability of linear parameter dependent systems with delays Appl. Math. Comput. 217 2010 2551 2566
    • (2010) Appl. Math. Comput. , vol.217 , pp. 2551-2566
    • Botmart, T.1    Niamsup, P.2
  • 19
    • 33744914054 scopus 로고    scopus 로고
    • Exponential stability of uncertain dynamic systems including state delay
    • DOI 10.1016/j.aml.2005.10.017, PII S0893965905003605
    • O.M. Kwon, and J.H. Park Robust exponential stability of uncertain dynamic systems including state delay Appl. Math. Lett. 19 2006 901 907 (Pubitemid 43851188)
    • (2006) Applied Mathematics Letters , vol.19 , Issue.9 , pp. 901-907
    • Kwon, O.M.1    Park, J.H.2
  • 20
    • 0141638671 scopus 로고    scopus 로고
    • On the exponential stability of a class of nonlinear systems including delayed perturbations
    • DOI 10.1016/S0377-0427(03)00550-8
    • J.H. Park, and H.Y. Jung On the exponential stability of a class of nonlinear systems including delayed perturbations J. Comput. Appl. Math. 159 2003 467 471 (Pubitemid 37178444)
    • (2003) Journal of Computational and Applied Mathematics , vol.159 , Issue.2 , pp. 467-471
    • Park, J.H.1    Jung, H.Y.2
  • 21
    • 60449112377 scopus 로고    scopus 로고
    • New delay-dependent stability criteria for systems with interval delay
    • H.-Y. Shao New delay-dependent stability criteria for systems with interval delay Automatica 45 3 2009 744 749
    • (2009) Automatica , vol.45 , Issue.3 , pp. 744-749
    • Shao, H.-Y.1
  • 22
    • 3242890242 scopus 로고    scopus 로고
    • Robust stability for a class of linear systems with time varying delay and nonlinear perturbations
    • Q.-L. Han Robust stability for a class of linear systems with time varying delay and nonlinear perturbations Comput. Math. Appl. 47 2004 1201 1209
    • (2004) Comput. Math. Appl. , vol.47 , pp. 1201-1209
    • Han, Q.-L.1
  • 23
    • 0035453658 scopus 로고    scopus 로고
    • Stability of linear systems with time-varying delay: A generalized discretized lyapunov functional approach
    • Q.-L. Han, and K. Gu Stability of linear systems with time-varying delay: a generalized discretized Lyapunov functional approach Asian J. Control 3 2001 170 180 (Pubitemid 34545888)
    • (2001) Asian Journal of Control , vol.3 , Issue.3 , pp. 170-180
    • Han, Q.-L.1    Gu, K.2
  • 24
    • 77957842440 scopus 로고    scopus 로고
    • Improved asymptotic stability criteria for neural for networks with interval time-varying delay
    • J. Tian, and X. Zhou Improved asymptotic stability criteria for neural for networks with interval time-varying delay Expert Syst. Appl. 37 2010 7521 7525
    • (2010) Expert Syst. Appl. , vol.37 , pp. 7521-7525
    • Tian, J.1    Zhou, X.2
  • 25
    • 43049129686 scopus 로고    scopus 로고
    • Stability criteria for uncertain neutral systems with interval time-varying delays
    • DOI 10.1016/j.chaos.2007.01.002, PII S0960077907000161
    • K.-Y. Yu, and C.-H. Lien Stability criterion for uncertain neutral systems with interval time-varying delays Chaos Solitons Fract. 38 2008 650 657 (Pubitemid 351633016)
    • (2008) Chaos, Solitons and Fractals , vol.38 , Issue.3 , pp. 650-657
    • Yu, K.-W.1    Lien, C.-H.2
  • 26
    • 70350580490 scopus 로고    scopus 로고
    • Delay-dependent robust exponential stabilization for uncertain systems with interval time-varying delays
    • D. Wang, and W. Wang Delay-dependent robust exponential stabilization for uncertain systems with interval time-varying delays J. Control Theory Appl. 7 3 2009 257 263
    • (2009) J. Control Theory Appl. , vol.7 , Issue.3 , pp. 257-263
    • Wang, D.1    Wang, W.2
  • 27
    • 58549084830 scopus 로고    scopus 로고
    • New stability criteria of neural networks with interval time-varying delay: A piecewise delay method
    • Y. Zhang, D. Yue, and E. Tian New stability criteria of neural networks with interval time-varying delay: a piecewise delay method Appl. Math. Comput. 208 2009 249 259
    • (2009) Appl. Math. Comput. , vol.208 , pp. 249-259
    • Zhang, Y.1    Yue, D.2    Tian, E.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.