Robust Exponential Stability Criteria of LPD Systems with Mixed Time-Varying Delays and Nonlinear Perturbations
Open Access
- 1 January 2012
- journal article
- Published by Hindawi Limited in Abstract and Applied Analysis
- Vol. 2012, 1-20
- https://doi.org/10.1155/2012/348418
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.Keywords
Funding Information
- Thailand Research Fund (MRG5580006)
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