Delay‐Dependent Stability Analysis and Synthesis for Uncertain Impulsive Switched System with Mixed Delays | Zendy

Binbin Du | Zendy; Xiaojie Zhang | Zendy

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Delay‐Dependent Stability Analysis and Synthesis for Uncertain Impulsive Switched System with Mixed Delays

Author(s) -

Binbin Du,

Xiaojie Zhang

Publication year - 2011

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2011/381571

Subject(s) - control theory (sociology) , exponential stability , stability (learning theory) , class (philosophy) , stability theory , controller (irrigation) , mathematics , lyapunov function , computer science , control (management) , nonlinear system , physics , quantum mechanics , artificial intelligence , machine learning , agronomy , biology

This paper studies the asymptotic stability problem for a class of uncertainimpulsive switched systems with discrete and distributed delays. Based on Lyapunovfunctional theory, delay-dependent sufficient LMI conditions are established for the asymptoticstability of the considered systems. Moreover, an appropriate feedback controller is constructed for stabilizing the corresponding closed-loop system. The results are illustrated to be efficient through an example

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