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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

Hindawi Publishing Corporation

Author: Karimi, Hamid Reza
Zapateiro de la Hoz, Mauricio Fabi√°n
Luo, Ningsu
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
Document access: http://hdl.handle.net/2072/167964
Language: eng
Publisher: Hindawi Publishing Corporation
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: Recercat

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