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Robust Exponential Stability Criteria of LPD Systems with Mixed Time‐Varying Delays and Nonlinear Perturbations

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  • Kanit Mukdasai
  • Akkharaphong Wongphat
  • Piyapong Niamsup

Abstract

This paper investigates the problem of robust exponential stability for linear parameter‐dependent (LPD) systems with discrete and distributed time‐varying delays and nonlinear perturbations. Parameter dependent Lyapunov‐Krasovskii functional, Leibniz‐Newton formula, and linear matrix inequality are proposed to analyze the stability. On the basis of the estimation and by utilizing free‐weighting matrices, new delay‐dependent exponential stability criteria are established in terms of linear matrix inequalities (LMIs). Numerical examples are given to demonstrate the effectiveness and less conservativeness of the proposed methods.

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Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:348418
DOI: 10.1155/2012/348418
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