New Delay-Dependent Stability Criteria for Uncertain Neutral Systems with Mixed Time-Varying Delays and Nonlinear Perturbations
Joint Authors
Luo, Ningsu
Zapateiro, Mauricio
Karimi, Hamid Reza
Source
Mathematical Problems in Engineering
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-03-29
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
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 distributed-delay-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.
American Psychological Association (APA)
Karimi, Hamid Reza& Zapateiro, Mauricio& Luo, Ningsu. 2009. New Delay-Dependent Stability Criteria for Uncertain Neutral Systems with Mixed Time-Varying Delays and Nonlinear Perturbations. Mathematical Problems in Engineering،Vol. 2009, no. 2009, pp.1-22.
https://search.emarefa.net/detail/BIM-496501
Modern Language Association (MLA)
Karimi, Hamid Reza…[et al.]. New Delay-Dependent Stability Criteria for Uncertain Neutral Systems with Mixed Time-Varying Delays and Nonlinear Perturbations. Mathematical Problems in Engineering No. 2009 (2009), pp.1-22.
https://search.emarefa.net/detail/BIM-496501
American Medical Association (AMA)
Karimi, Hamid Reza& Zapateiro, Mauricio& Luo, Ningsu. New Delay-Dependent Stability Criteria for Uncertain Neutral Systems with Mixed Time-Varying Delays and Nonlinear Perturbations. Mathematical Problems in Engineering. 2009. Vol. 2009, no. 2009, pp.1-22.
https://search.emarefa.net/detail/BIM-496501
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-496501