메뉴 건너뛰기




Volumn 49, Issue 9, 2013, Pages 2860-2866

Wirtinger-based integral inequality: Application to time-delay systems

Author keywords

Jensen inequality; Sampled data systems; Stability analysis; Time delay systems

Indexed keywords

FOURIER THEORY; INTEGRAL INEQUALITIES; JENSEN INEQUALITY; LINEAR MATRIX INEQUALITY (LMIS); SAMPLED DATA SYSTEMS; STABILITY ANALYSIS; STABILITY CONDITION; TIME-DELAY SYSTEMS;

EID: 84881481825     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2013.05.030     Document Type: Conference Paper
Times cited : (2020)

References (33)
  • 1
    • 68949140901 scopus 로고    scopus 로고
    • An augmented model for robust stability analysis of time-varying delay systems
    • Y. Ariba, and F. Gouaisbaut An augmented model for robust stability analysis of time-varying delay systems International Journal of Control 82 2009 1616 1626
    • (2009) International Journal of Control , vol.82 , pp. 1616-1626
    • Ariba, Y.1    Gouaisbaut, F.2
  • 4
    • 79960143376 scopus 로고    scopus 로고
    • Convergence and equivalence results for the Jensen's inequality - Application to time-delay and sampled-data systems
    • C. Briat Convergence and equivalence results for the Jensen's inequality - application to time-delay and sampled-data systems IEEE Transactions on Automatic Control 56 7 2011 1660 1665
    • (2011) IEEE Transactions on Automatic Control , vol.56 , Issue.7 , pp. 1660-1665
    • Briat, C.1
  • 5
    • 84865650946 scopus 로고    scopus 로고
    • A looped-functional approach for robust stability analysis of linear impulsive systems
    • C. Briat, and A. Seuret A looped-functional approach for robust stability analysis of linear impulsive systems Systems & Control Letters 61 10 2012 980 988
    • (2012) Systems & Control Letters , vol.61 , Issue.10 , pp. 980-988
    • Briat, C.1    Seuret, A.2
  • 6
    • 84870468124 scopus 로고    scopus 로고
    • Convex dwell-time characterizations for uncertain linear impulsive systems
    • C. Briat, and A. Seuret Convex dwell-time characterizations for uncertain linear impulsive systems IEEE Transactions on Automatic Control 57 12 2012 3241 3246
    • (2012) IEEE Transactions on Automatic Control , vol.57 , Issue.12 , pp. 3241-3246
    • Briat, C.1    Seuret, A.2
  • 7
    • 33751226868 scopus 로고    scopus 로고
    • Delay-dependent robust stabilization for uncertain neutral systems with distributed delays
    • W.-H. Chen, and W.X. Zheng Delay-dependent robust stabilization for uncertain neutral systems with distributed delays Automatica 43 1 2007 95 104
    • (2007) Automatica , vol.43 , Issue.1 , pp. 95-104
    • Chen, W.-H.1    Zheng, W.X.2
  • 8
    • 74149087912 scopus 로고    scopus 로고
    • A refined input delay approach to sampled-data control
    • E. Fridman A refined input delay approach to sampled-data control Automatica 46 2 2010 421 427
    • (2010) Automatica , vol.46 , Issue.2 , pp. 421-427
    • Fridman, E.1
  • 9
    • 2942517991 scopus 로고    scopus 로고
    • Robust sampled-data stabilization of linear systems: An input delay approach
    • E. Fridman, A. Seuret, and J.-P. Richard Robust sampled-data stabilization of linear systems: an input delay approach Automatica 40 8 2004 1141 1446
    • (2004) Automatica , vol.40 , Issue.8 , pp. 1141-1446
    • Fridman, E.1    Seuret, A.2    Richard, J.-P.3
  • 11
    • 33750004600 scopus 로고    scopus 로고
    • l 2-gain analysis of systems with time-varying delays
    • l 2-gain analysis of systems with time-varying delays Systems & Control Letters 55 2006 1041 1053
    • (2006) Systems & Control Letters , vol.55 , pp. 1041-1053
    • Fridman, E.1    Shaked, U.2
  • 12
    • 60449098795 scopus 로고    scopus 로고
    • Stability analysis of systems with aperiodic sample-and-hold devices
    • H. Fujioka Stability analysis of systems with aperiodic sample-and-hold devices Automatica 45 3 2009 771 775
    • (2009) Automatica , vol.45 , Issue.3 , pp. 771-775
    • Fujioka, H.1
  • 15
    • 33845939101 scopus 로고    scopus 로고
    • Delay-range-dependent stability for systems with time-varying delay
    • 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
    • (2007) Automatica , vol.43 , pp. 371-376
    • He, Y.1    Wang, Q.G.2    Lin, C.3    Wu, M.4
  • 16
    • 33947427956 scopus 로고    scopus 로고
    • Further improvement of free-weighting matrices technique for systems with time-varying delay
    • Y. He, Q.G. Wang, L. Xie, and C. Lin Further improvement of free-weighting matrices technique for systems with time-varying delay IEEE Transactions on Automatic Control 52 2007 293 299
    • (2007) IEEE Transactions on Automatic Control , vol.52 , pp. 293-299
    • He, Y.1    Wang, Q.G.2    Xie, L.3    Lin, C.4
  • 17
    • 52949089638 scopus 로고    scopus 로고
    • New stability criteria for linear systems with interval time-varying delay
    • X. Jiang, and Q.-L. Han New stability criteria for linear systems with interval time-varying delay Automatica 44 10 2008 2680 2685
    • (2008) Automatica , vol.44 , Issue.10 , pp. 2680-2685
    • Jiang, X.1    Han, Q.-L.2
  • 19
    • 34247521318 scopus 로고    scopus 로고
    • Stability analysis of systems with uncertain time-varying delays
    • C.Y. Kao, and A. Rantzer Stability analysis of systems with uncertain time-varying delays Automatica 43 6 2007 959 970
    • (2007) Automatica , vol.43 , Issue.6 , pp. 959-970
    • Kao, C.Y.1    Rantzer, A.2
  • 20
    • 80052024130 scopus 로고    scopus 로고
    • Note on stability of linear systems with time-varying delay
    • J.H. Kim Note on stability of linear systems with time-varying delay Automatica 47 9 2011 2118 2121
    • (2011) Automatica , vol.47 , Issue.9 , pp. 2118-2121
    • Kim, J.H.1
  • 22
    • 84355161690 scopus 로고    scopus 로고
    • Wirtinger's inequality and Lyapunov-based sampled-data stabilization
    • K. Liu, and E. Fridman Wirtinger's inequality and Lyapunov-based sampled-data stabilization Automatica 48 1 2012 102 108
    • (2012) Automatica , vol.48 , Issue.1 , pp. 102-108
    • Liu, K.1    Fridman, E.2
  • 24
    • 34447131463 scopus 로고    scopus 로고
    • Some remarks on the use of time-varying delay to model sample-and-hold circuits
    • L. Mirkin Some remarks on the use of time-varying delay to model sample-and-hold circuits IEEE Transactions on Automatic Control 52 6 2007 1009 1112
    • (2007) IEEE Transactions on Automatic Control , vol.52 , Issue.6 , pp. 1009-1112
    • Mirkin, L.1
  • 25
    • 40949101745 scopus 로고    scopus 로고
    • Exponential stability of impulsive systems with application to uncertain sampled-data systems
    • P. Naghshtabrizi, J.P. Hespanha, and A.R. Teel Exponential stability of impulsive systems with application to uncertain sampled-data systems Systems and Control Letters 57 5 2008 378 385
    • (2008) Systems and Control Letters , vol.57 , Issue.5 , pp. 378-385
    • Naghshtabrizi, P.1    Hespanha, J.P.2    Teel, A.R.3
  • 26
    • 78650807125 scopus 로고    scopus 로고
    • Reciprocally convex approach to stability of systems with time-varying delays
    • P.G. Park, J.W. Ko, and C. Jeong Reciprocally convex approach to stability of systems with time-varying delays Automatica 47 1 2011 235 238
    • (2011) Automatica , vol.47 , Issue.1 , pp. 235-238
    • Park, P.G.1    Ko, J.W.2    Jeong, C.3
  • 27
    • 84355166623 scopus 로고    scopus 로고
    • A novel stability analysis of linear systems under asynchronous samplings
    • A. Seuret A novel stability analysis of linear systems under asynchronous samplings Automatica 48 1 2012 177 182
    • (2012) Automatica , vol.48 , Issue.1 , pp. 177-182
    • Seuret, A.1
  • 29
    • 60449112377 scopus 로고    scopus 로고
    • New delay-dependent stability criteria for systems with interval delay
    • H. 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.1
  • 31
    • 74149092560 scopus 로고    scopus 로고
    • Improved delay-range-dependent stability criteria for linear systems with time-varying delays
    • J. Sun, G.P. Liu, J. Chen, and D. Rees Improved delay-range-dependent stability criteria for linear systems with time-varying delays Automatica 46 2 2010 466 470
    • (2010) Automatica , vol.46 , Issue.2 , pp. 466-470
    • Sun, J.1    Liu, G.P.2    Chen, J.3    Rees, D.4
  • 33
    • 0036497595 scopus 로고    scopus 로고
    • Robust control of uncertain distributed delay systems with application to the stabilization of combustion in rocket motor chambers
    • F. Zheng, and P.M. Frank Robust control of uncertain distributed delay systems with application to the stabilization of combustion in rocket motor chambers Automatica 38 3 2002 487 497
    • (2002) Automatica , vol.38 , Issue.3 , pp. 487-497
    • Zheng, F.1    Frank, P.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.