Exponential Stability for a Class of Switched Nonlinear Systems with Mixed Time-Varying Delays via an Average Dwell-Time Method | Zendy

Narongsak Yotha | Zendy; Thongchai Botmart | Zendy; Thanasak Mouktonglang | Zendy

Open Access

Exponential Stability for a Class of Switched Nonlinear Systems with Mixed Time-Varying Delays via an Average Dwell-Time Method

Author(s) -

Narongsak Yotha,

Thongchai Botmart,

Thanasak Mouktonglang

Publication year - 2012

Publication title -

isrn mathematical analysis

Language(s) - English

Resource type - Journals

eISSN - 2090-4665

pISSN - 2090-4657

DOI - 10.5402/2012/528259

Subject(s) - dwell time , control theory (sociology) , piecewise , nonlinear system , exponential stability , mathematics , stability (learning theory) , constraint (computer aided design) , class (philosophy) , lyapunov function , time derivative , discrete time and continuous time , exponential function , computer science , control (management) , mathematical analysis , medicine , clinical psychology , statistics , physics , geometry , quantum mechanics , artificial intelligence , machine learning

The problem of exponential stability for a class of switched nonlinear systems with discrete and distributed time-varying delays is studied. The constraint on the derivative of the time-varying delay is not required which allows the time delay to be a fast time-varying function. We study the stability properties of switched nonlinear systems consisting of both stable and unstable subsystems. Average dwell-time approached and improved piecewise Lyapunov functional combined with Leibniz-Newton are formulated. New delay-dependent sufficient conditions for the exponential stabilization of the switched systems are first established in terms of LMIs. A numerical example is also given to illustrate the effectiveness of the proposed method.

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