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

Kanit Mukdasai, Akkharaphong Wongphat and Piyapong Niamsup

Abstract and Applied Analysis, 2012, vol. 2012, 1-20

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:348418

DOI: 10.1155/2012/348418

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