4.6 Article

Finite-time stability and finite-time weighted L2-gain analysis for switched systems with time-varying delay

Journal

IET CONTROL THEORY AND APPLICATIONS
Volume 7, Issue 7, Pages 1058-1069

Publisher

INST ENGINEERING TECHNOLOGY-IET
DOI: 10.1049/iet-cta.2012.0551

Keywords

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Funding

  1. Natural Science Foundation of China [61074013, 61174038]
  2. Specialised Research Fund for the Doctoral Programme of Higher Education of China [20090092110022]
  3. Postdoctoral Science Foundation of China [2013M531372]

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Finite-time stability and finite-time boundedness for a class of switched linear systems with time-varying delay are studied. Sufficient conditions which guarantee switched linear systems with time-varying delay finite-time stable or finite-time bounded are presented. These conditions are delay-dependent and are given in terms of linear matrix inequalities. Average dwell time of switching signals is also given such that switched linear systems are finite-time stable or finite-time bounded. Moreover, finite-time weighted L-2-gain of switched linear systems with time-varying delay are also given to measure its disturbance tolerance capability in the fixed time interval. Detail proofs are accomplished by using multiple Lyapunov-like functions. An example is employed to verify the efficiency of the proposed method.

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