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Delay-dependent robust BIBO stabilization of uncertain system via LMI approach. (English) Zbl 1197.93145

Summary: This paper addresses the problem of robust BIBO stabilization for the uncertain time-delay system. A novel delay-dependent stabilizable criterion is presented by a quadratic Lyapunov function and the method of the variation of parameters to guarantee that bounded input can lead to bounded output. The proposed design condition is formulated in terms of linear matrix inequality (LMI) which can be easily solved by LMI Toolbox in Matlab. Finally, numerical examples are given to illustrate the effectiveness of our results.

Editorial remark: There are doubts about a proper peer-reviewing procedure of this journal. The editor-in-chief has retired, but, according to a statement of the publisher, articles accepted under his guidance are published without additional control.

MSC:
93D21Adaptive or robust stabilization
34K20Stability theory of functional-differential equations
93D25Input-output approaches to stability of control systems
Software:
Matlab