Exponential Stability and Guaranteed Cost of Switched Linear Systems with Mixed Time-Varying Delays | Zendy

El Houssaine Tissir | Zendy

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Exponential Stability and Guaranteed Cost of Switched Linear Systems with Mixed Time-Varying Delays

Author(s) -

El Houssaine Tissir

Publication year - 2011

Publication title -

isrn applied mathematics

Language(s) - English

Resource type - Journals

eISSN - 2090-5572

pISSN - 2090-5564

DOI - 10.5402/2011/412912

Subject(s) - exponential stability , control theory (sociology) , stability (learning theory) , mathematics , exponential function , linear matrix inequality , upper and lower bounds , lyapunov function , linear system , exponential growth , mathematical optimization , computer science , nonlinear system , mathematical analysis , control (management) , physics , quantum mechanics , artificial intelligence , machine learning

This paper deals with the problems of exponential stability and guaranteed cost of switched linear systems with mixed time delays. Based on Lyapunov functional method, we present new delay-dependent conditions that guarantee both the exponential stability and an upper bound for some performance index. The criteria are delay-dependent conditions and are given in terms of linear matrix inequalities. Numerical examples are provided to illustrate the effectiveness of the results.

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