Improved delay-dependent exponential stability of singular systems with mixed interval time-varying delays

This study deals with the problem of exponential stability analysis for a class of singular systems with interval time-varying discrete and distributed delays. By constructing a set of improved Lyapunov–Krasovskii functionals, new delay-dependent conditions are established in terms of linear matrix...

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Bibliographic Details
Published in:IET control theory & applications Vol. 9; no. 9; pp. 1364 - 1372
Main Authors: Hien, Le Van, Vu, Le Huy, Phat, Vu Ngoc
Format: Journal Article
Language:English
Published: The Institution of Engineering and Technology 06.06.2015
Subjects:
Algorithms
asymptotic stability
Construction
convex optimisation algorithm
convex programming
Delay
delays
improved delay‐dependent exponential stability
improved Lyapunov–Krasovskii functional
interval time‐varying discrete delay
interval time‐varying distributed delay
Intervals
linear matrix inequalities
Lyapunov methods
Mathematical models
mixed interval time‐varying delay
Optimization
Regularity
singular systems
Stability
time‐varying systems
time-varying systems
singular systems
convex optimisation algorithm
mixed interval time-varying delay
convex programming
asymptotic stability
interval time-varying discrete delay
linear matrix inequalities
delays
interval time-varying distributed delay
improved delay-dependent exponential stability
Lyapunov methods
improved Lyapunov–Krasovskii functional
ISSN:1751-8644, 1751-8652
Online Access:Get full text
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Summary:This study deals with the problem of exponential stability analysis for a class of singular systems with interval time-varying discrete and distributed delays. By constructing a set of improved Lyapunov–Krasovskii functionals, new delay-dependent conditions are established in terms of linear matrix inequalities ensuring the regularity, impulse free and exponential stability of the system. This approach allows the authors to compute simultaneously the two bounds that characterise the exponential stability rate of the solution by various efficient convex optimisation algorithms. Numerical examples are given to illustrate the effectiveness of the obtained results.
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ISSN:1751-8644
1751-8652
DOI:10.1049/iet-cta.2014.0731