메뉴 건너뛰기




Volumn 43, Issue 5, 2012, Pages 894-902

Less conservative delay-dependent stability criteria for linear systems with interval time-varying delays

Author keywords

interval time varying delay; linear matrix inequality; LMI; Lyapunov Krasovskii functional; stability

Indexed keywords

DELAY DEPENDENT STABILITY CRITERION; INTERVAL TIME-VARYING DELAYS; LMI; LYAPUNOV-KRASOVSKII FUNCTIONALS; NUMERICAL EXAMPLE; UPPER BOUND;

EID: 84858260789     PISSN: 00207721     EISSN: 14645319     Source Type: Journal    
DOI: 10.1080/00207721.2010.543480     Document Type: Article
Times cited : (44)

References (31)
  • 1
    • 0036475458 scopus 로고    scopus 로고
    • ∞ control of linear time-delay systems
    • DOI 10.1109/9.983353, PII S0018928602020640
    • Fridman, E., and Shaked, U. (2002), 'A Descriptor System Approach to H∞ Control of Linear Time-delay Systems', IEEE Transactions on Automatic Control, 47, 253-270. (Pubitemid 34291539)
    • (2002) IEEE Transactions on Automatic Control , vol.47 , Issue.2 , pp. 253-270
    • Fridman, E.1    Shaked, U.2
  • 2
    • 70349850642 scopus 로고    scopus 로고
    • New conditions for delay-derivative-dependent stability
    • Fridman, E., Shaked, U., and Liu, K. (2009), 'New Conditions for Delay-derivative-dependent Stability', Automatica, 45, 2723-2727.
    • (2009) Automatica , vol.45 , pp. 2723-2727
    • Fridman, E.1    Shaked, U.2    Liu, K.3
  • 3
    • 0034439996 scopus 로고    scopus 로고
    • An integral inequality in the stability problem of time-delay systems
    • Gu, K. (2000), 'An Integral Inequality in the Stability Problem of Time-delay Systems', in Proceedings of 39th IEEE Conference on Decision and Control, Sydney, Australia, pp. 2805-2810. (Pubitemid 32528463)
    • (2000) Proceedings of the IEEE Conference on Decision and Control , vol.3 , pp. 2805-2810
    • Gu, K.1
  • 4
    • 0035838737 scopus 로고    scopus 로고
    • A further refinement of discretized lyapunov functional method for the stability of time-delay systems
    • Gu, K. (2001), 'A Further Refinement of Discretized Lyapunov Functional Method for the Stability of Time-Delay Systems', International Journal of Control, 74, 967-976.
    • (2001) International Journal of Control , vol.74 , pp. 967-976
    • Gu, K.1
  • 5
    • 0034540678 scopus 로고    scopus 로고
    • Discretized Lyapunov functional for linear uncertain systems with time-varying delay
    • Gu, K., and Han, Q.-L. (2000), 'Discretized Lyapunov Functional for Linear Uncertain Systems with Timevarying Delay', in Proceedings of American Control Conference, Chicago, IL, USA, pp. 1375-1379. (Pubitemid 32028484)
    • (2000) Proceedings of the American Control Conference , vol.2 , pp. 1375-1379
    • Gu Keqin1    Han Qing-Long2
  • 6
    • 0035837929 scopus 로고    scopus 로고
    • Discretized lyapunov functional for systems with distributed delay and piecewise constant coefficient
    • Gu, K., Han, Q.-L., Luo, A.J.C., and Niculescu, S.-I. (2001), 'Discretized Lyapunov Functional for Systems with Distributed Delay and Piecewise Constant Coefficient', International Journal of Control, 74, 737-744.
    • (2001) International Journal of Control , vol.74 , pp. 737-744
    • Gu, K.1    Han, Q.-L.2    Luo, A.J.C.3    Niculescu, S.-I.4
  • 8
    • 0033708053 scopus 로고    scopus 로고
    • Additional dynamics in transformed time-delay systems
    • Gu, K., and Niculescu, S.I. (2000), 'Additional Dynamics in Transformed Time-delay Systems', IEEE Transactions on Automatic Control, 45, 572-575.
    • (2000) IEEE Transactions on Automatic Control , vol.45 , pp. 572-575
    • Gu, K.1    Niculescu, S.I.2
  • 9
    • 0037138855 scopus 로고    scopus 로고
    • New results for delay-dependent stability of linear systems with time-varying delay
    • DOI 10.1080/00207720110092207
    • Han, Q.-L. (2002), 'New Results for Delay-dependent Stability of Linear Systems with Time-varying Delay', International Journal of Systems Science, 33, 213-228. (Pubitemid 34593748)
    • (2002) International Journal of Systems Science , vol.33 , Issue.3 , pp. 213-228
    • Han, Q.-L.1
  • 10
    • 27344455199 scopus 로고    scopus 로고
    • Absolute stability of time-delay systems with sector-bounded nonlinearity
    • DOI 10.1016/j.automatica.2005.08.005, PII S0005109805002815
    • Han, Q.-L. (2005a), 'Absolute Stability of Time-delay Systems with Sector-bounded Nonlinearity', Automatica, 41, 2171-2176. (Pubitemid 41525678)
    • (2005) Automatica , vol.41 , Issue.12 , pp. 2171-2176
    • Han, Q.-L.1
  • 11
    • 18444418865 scopus 로고    scopus 로고
    • On stability of linear neutral systems with mixed time delays: A discretized Lyapunov functional approach
    • DOI 10.1016/j.automatica.2005.01.014, PII S0005109805000646
    • Han, Q.-L. (2005b), 'On Stability of Linear Neutral Systems with Mixed Time-delays: A Discretized Lyapunov Functional Approach', Automatica, 41, 1209-1218. (Pubitemid 40644859)
    • (2005) Automatica , vol.41 , Issue.7 , pp. 1209-1218
    • Han, Q.-L.1
  • 12
    • 58349095794 scopus 로고    scopus 로고
    • A discrete delay decomposition approach to stability of linear retarded and neutral systems
    • Han, Q.-L. (2009), 'A Discrete Delay Decomposition Approach to Stability of Linear Retarded and Neutral Systems', Automatica, 45, 517-524.
    • (2009) Automatica , vol.45 , pp. 517-524
    • Han, Q.-L.1
  • 13
    • 0035453658 scopus 로고    scopus 로고
    • Stability of linear systems with time-varying delay: A generalized discretized lyapunov functional approach
    • Han, Q.-L., and Gu, K. (2001), 'Stability of Linear Systems with Time-varying Delay: A Generalized Discretized Lyapunov Functional Approach', Asian Journal of Control, 3, 170-180. (Pubitemid 34545888)
    • (2001) Asian Journal of Control , vol.3 , Issue.3 , pp. 170-180
    • Han, Q.-L.1    Gu, K.2
  • 14
    • 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
    • He, Y., Wang, Q., Lin, C., and Wu, M. (2007), 'Delay-rangedependent Stability for Systems with Time-varying Delay', Automatica, 43, 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
  • 15
    • 27344460615 scopus 로고    scopus 로고
    • ∞ control for linear systems with interval time-varying delay
    • DOI 10.1016/j.automatica.2005.06.012, PII S0005109805002645
    • Jiang, X., and Han, Q.-L. (2005), 'On H∞ Control for Linear Systems with Interval Time-varying Delay', Automatica, 41, 2099-2106. (Pubitemid 41525668)
    • (2005) Automatica , vol.41 , Issue.12 , pp. 2099-2106
    • Jiang, X.1    Han, Q.-L.2
  • 16
    • 52949089638 scopus 로고    scopus 로고
    • New stability criteria for linear systems with interval time-varying delay
    • Jiang, X., and Han, Q.-L. (2008), 'New Stability Criteria for Linear Systems with Interval Time-Varying Delay', Automatica, 44, 2680-2685.
    • (2008) Automatica , vol.44 , pp. 2680-2685
    • Jiang, X.1    Han, Q.-L.2
  • 18
    • 0035332190 scopus 로고    scopus 로고
    • Delay and its time-derivative dependent robust stability of time-delayed linear systems with uncertainty
    • Kim, J.H. (2001), 'Delay and its Time-derivative Dependent Robust Stability of Time-delayed Linear Systems with Uncertainty', IEEE Transactions on Automatic Control, 46, 789-792.
    • (2001) IEEE Transactions on Automatic Control , vol.46 , pp. 789-792
    • Kim, J.H.1
  • 19
    • 0035922479 scopus 로고    scopus 로고
    • Delay-dependent robust stabilization of uncertain statedelayed systems
    • Moon, Y.S., Park, P.G., Kwon, W.H., and Lee, Y.S. (2001), 'Delay-dependent Robust Stabilization of Uncertain Statedelayed Systems', International Journal of Control, 74, 1447-1455.
    • (2001) International Journal of Control , vol.74 , pp. 1447-1455
    • Moon, Y.S.1    Park, P.G.2    Kwon, W.H.3    Lee, Y.S.4
  • 20
    • 0032665002 scopus 로고    scopus 로고
    • A delay-dependent stability for systems with uncertain time-invariant delays
    • Park, P. (1999), 'A Delay-dependent Stability for Systems with Uncertain Time-invariant Delays', IEEE Transactions on Automatic Control, 44, 876-877.
    • (1999) IEEE Transactions on Automatic Control , vol.44 , pp. 876-877
    • Park, P.1
  • 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
    • Park, P., and Ko, J. (2007), 'Stability and Robust Stability for Systems with a Time-varying Delay', Automatica, 43, 1855-1858. (Pubitemid 47381431)
    • (2007) Automatica , vol.43 , Issue.10 , pp. 1855-1858
    • Park, P.1    Wan Ko, J.2
  • 22
    • 0041511967 scopus 로고    scopus 로고
    • Time-delay systems: An overview of some recent advances and open problems
    • Richard, J.P. (2003), 'Time-delay Systems: An Overview of Some Recent Advances and Open Problems', Automatica, 39, 1667-1694.
    • (2003) Automatica , vol.39 , pp. 1667-1694
    • Richard, J.P.1
  • 23
    • 46649093776 scopus 로고    scopus 로고
    • Delay-dependent approaches to globally exponential stability for recurrent neural networks
    • Shao, H. (2008a), 'Delay-dependent Approaches to Globally Exponential Stability for Recurrent Neural Networks', IEEE Transactions on Circuits Systems II, 55, 591-596.
    • (2008) IEEE Transactions on Circuits Systems II , vol.55 , pp. 591-596
    • Shao, H.1
  • 24
    • 40649116646 scopus 로고    scopus 로고
    • Delay-range-dependent robust h∞ filtering for uncertain stochastic systems with modedependent time delays and markovian jump parameters
    • Shao, H. (2008b), 'Delay-range-dependent Robust H∞ Filtering for Uncertain Stochastic Systems with Modedependent Time Delays and Markovian Jump Parameters', Journal of Mathematical Analysis and Applications, 342, 1084-1095.
    • (2008) Journal of Mathematical Analysis and Applications , vol.342 , pp. 1084-1095
    • Shao, H.1
  • 25
    • 60449112377 scopus 로고    scopus 로고
    • New delay-dependent stability criteria for systems with interval delay
    • Shao, H. (2009), 'New Delay-dependent Stability Criteria for Systems with Interval Delay', Automatica, 45, 744-749.
    • (2009) Automatica , vol.45 , pp. 744-749
    • Shao, H.1
  • 26
    • 14544301096 scopus 로고    scopus 로고
    • ∞ control of time-delay systems
    • FrA12.6, 2004 43rd IEEE Conference on Decision and Control (CDC)
    • Suplin, V., Fridman, E., and Shaked, U. (2004), 'A Projection Approach to H∞ Control of Time-delay Systems', in Proceedings of IEEE conference on Decision and Control, Atlantis, Bahamas, pp. 4548-4553. (Pubitemid 40297712)
    • (2004) Proceedings of the IEEE Conference on Decision and Control , vol.5 , pp. 4548-4553
    • Suplin, V.1    Fridman, E.2    Shaked, U.3
  • 27
    • 74149092560 scopus 로고    scopus 로고
    • Improved delay-range dependent stability criteria for linear systems with time-varying delays
    • Sun, J., Liu, G.P., Chen, J., and Rees, D. (2010), 'Improved Delay-range Dependent Stability Criteria for Linear Systems with Time-varying Delays', Automatica, 46, 466-470.
    • (2010) Automatica , vol.46 , pp. 466-470
    • Sun, J.1    Liu, G.P.2    Chen, J.3    Rees, D.4
  • 28
    • 33748423647 scopus 로고    scopus 로고
    • Delay-dependent robust stability and h∞ control for jump linear systems with delays
    • Wu, J., Chen, T., and Wang, L. (2006), 'Delay-dependent Robust Stability and H∞ Control for Jump Linear Systems with Delays', Systems and Control Letters, 55, 937-948.
    • (2006) Systems and Control Letters , vol.55 , pp. 937-948
    • Wu, J.1    Chen, T.2    Wang, L.3
  • 29
    • 2942604608 scopus 로고    scopus 로고
    • Delaydependent criteria for robust stability of time-varying delay systems
    • Wu, M., He, Y., She, J., and Liu, G. (2004), 'Delaydependent Criteria for Robust Stability of Time-varying Delay Systems', Automatica, 40, 1435-1439.
    • (2004) Automatica , vol.40 , pp. 1435-1439
    • Wu, M.1    He, Y.2    She, J.3    Liu, G.4
  • 30
    • 16244383258 scopus 로고    scopus 로고
    • Improved delay-dependent stability criteria for time-delay systems
    • DOI 10.1109/TAC.2005.843873
    • Xu, S., and Lam, J. (2005), 'Improved Delay-dependent Stability Criteria for Time-delay Systems', IEEE Transactions on Automatic Control, 50, 384-387. (Pubitemid 40448589)
    • (2005) IEEE Transactions on Automatic Control , vol.50 , Issue.3 , pp. 384-387
    • Xu, S.1    Lam, J.2
  • 31
    • 33847351991 scopus 로고    scopus 로고
    • On equivalence and efficiency of certain stability criteria for time-delay systems
    • DOI 10.1109/TAC.2006.886495
    • Xu, S., and Lam, J. (2007), 'On Equivalence and Efficiency of Certain Stability Criteria for Time-delay Systems', IEEE Transactions on Automatic Control, 52, 95-101. (Pubitemid 46344002)
    • (2007) IEEE Transactions on Automatic Control , vol.52 , Issue.1 , pp. 95-101
    • Xu, S.1    Lam, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.