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New delay-dependent stability criteria for uncertain neutral systems with mixed time-varying delays and nonlinear perturbations

The problem of stability analysis for a class of neutral systems with mixed time-varying neutral, discrete and distributed delays and nonlinear parameter perturbations is addressed. By introducing a novel Lyapunov-Krasovskii functional and combining the descriptor model transformation, the Leibniz-Newton formula, some free-weighting matrices, and a suitable change of variables, new sufficient conditions are established for the stability of the considered system, which are neutral-delay-dependent, discrete-delay-range dependent, and distributeddelay-dependent. The conditions are presented in terms of linear matrix inequalities (LMIs) and can be efficiently solved using convex programming techniques. Two numerical examples are given to illustrate the efficiency of the proposed method

Mathematical Problems in Engineering, 2009, n√ļm. 759248

Hindawi Publishing Corporation

Author: Karimi, Hamid Reza
Zapateiro de la Hoz, Mauricio Fabi√°n
Luo, Ningsu
Date: 2009
Abstract: The problem of stability analysis for a class of neutral systems with mixed time-varying neutral, discrete and distributed delays and nonlinear parameter perturbations is addressed. By introducing a novel Lyapunov-Krasovskii functional and combining the descriptor model transformation, the Leibniz-Newton formula, some free-weighting matrices, and a suitable change of variables, new sufficient conditions are established for the stability of the considered system, which are neutral-delay-dependent, discrete-delay-range dependent, and distributeddelay-dependent. The conditions are presented in terms of linear matrix inequalities (LMIs) and can be efficiently solved using convex programming techniques. Two numerical examples are given to illustrate the efficiency of the proposed method
Format: application/pdf
Citation: Karimi, H.R, Zapateiro, M., i Luo, N. (2009). New delay-dependent stability criteria for uncertain neutral systems with mixed time-varying delays and nonlinear perturbations. Mathematical Problems in Engineering, 759248. Recuperat 21 juny de 2011, a http://www.hindawi.com/journals/mpe/2009/759248/
Document access: http://hdl.handle.net/10256/3446
Language: eng
Publisher: Hindawi Publishing Corporation
Collection: Reproducció digital del document publicat a: http://dx.doi.org/10.1155/2009/759248
Articles publicats (D-EEEiA)
Is part of: Mathematical Problems in Engineering, 2009, n√ļm. 759248
Rights: Aquest document està subjecte a una llicència Creative Commons: Reconeixement (by)
Rights URI: http://creativecommons.org/licenses/by/3.0/es/deed.ca
Subject: Control automatic
Control digital
Lyapunov, Funcions de
Automatic control
Digital control systems
Lyapunov functions
Title: New delay-dependent stability criteria for uncertain neutral systems with mixed time-varying delays and nonlinear perturbations
Type: info:eu-repo/semantics/article
Repository: DUGiDocs

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