Finite-time boundedness, L2-gain analysis and control of Markovian jump switched neural networks with additive time-varying delays. (February 2017)

• Record Type: Journal Article
• Authors: Ali, M. Syed; Saravanan, S.; Cao, Jinde
• Is Part Of: Nonlinear analysis. Volume 23(2017)
• Page Start: 27
• Page End: 43
• Publication Date: 2017-02
• Subjects: Average dwell time approach -- Finite-time boundedness -- Finite-time control design -- L2-gain analysis -- Lyapunov–Krasovskii functional -- Switched neural networks; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2016.06.004
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: 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.