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

Kanit Mukdasai | Zendy; Akkharaphong Wongphat | Zendy; Piyapong Niamsup | Zendy

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

Author(s) -

Kanit Mukdasai,

Akkharaphong Wongphat,

Piyapong Niamsup

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/348418

Subject(s) - mathematics , exponential stability , nonlinear system , weighting , stability (learning theory) , exponential function , matrix (chemical analysis) , control theory (sociology) , linear matrix inequality , basis (linear algebra) , mathematical optimization , mathematical analysis , computer science , medicine , physics , materials science , control (management) , quantum mechanics , geometry , machine learning , artificial intelligence , composite material , radiology

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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