Journal
NONLINEAR ANALYSIS-HYBRID SYSTEMS
Volume 23, Issue -, Pages 27-43Publisher
ELSEVIER SCI LTD
DOI: 10.1016/j.nahs.2016.06.004
Keywords
Average dwell time approach; Finite-time boundedness; Finite-time control design; L-2-gain analysis; Lyapunov-Krasovskii functional; Switched neural networks
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This paper is concerned with the problem of finite-time boundedness, L-2 gain analysis and control of Markovian jump switched neural networks (MJSNNs) with additive time varying delays. Sufficient conditions to guarantee finite-time bounded of MJSNNs with additive time-varying delays are presented. These conditions are delay-dependent and are given in terms of linear matrix inequalities (LMIs). Moreover, finite-time L-2-gain analysis of switched neural networks with additive time-varying delays are given to measure its disturbance tolerance capability in the fixed time interval. In addition finite-time control of MJSNNs is studied. Detailed proofs are accomplished by using Lyapunov-functionals and average dwell time approach (ADT). Finally, numerical example is given to demonstrate the effectiveness of the proposed approach. (C) 2016 Elsevier Ltd. All rights reserved.
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