Improved delay-dependent exponential stability of singular systems with mixed interval time-varying delays
Improved delay-dependent exponential stability of singular systems with mixed interval time-varying delays
- Author(s): Le Van Hien ; Le Huy Vu ; Vu Ngoc Phat
- DOI: 10.1049/iet-cta.2014.0731
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- Author(s): Le Van Hien 1 ; Le Huy Vu 2 ; Vu Ngoc Phat 3
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View affiliations
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Affiliations:
1:
Department of Mathematics, Hanoi National University of Education, Hanoi, Vietnam;
2: Department of Mathematics, Hong Duc University, Thanhhoa, Vietnam;
3: Institute of Mathematics, VAST, Hanoi 10307, Vietnam
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Affiliations:
1:
Department of Mathematics, Hanoi National University of Education, Hanoi, Vietnam;
- Source:
Volume 9, Issue 9,
06 June 2015,
p.
1364 – 1372
DOI: 10.1049/iet-cta.2014.0731 , Print ISSN 1751-8644, Online ISSN 1751-8652
© The Institution of Engineering and Technology
Received
29/06/2014,
Accepted
06/02/2015,
Revised
19/12/2014,
Published
30/04/2015
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.
Inspec keywords: convex programming; asymptotic stability; delays; time-varying systems; linear matrix inequalities; Lyapunov methods
Other keywords: improved delay-dependent exponential stability; linear matrix inequalities; singular systems; convex optimisation algorithm; improved Lyapunov–Krasovskii functional; interval time-varying distributed delay; mixed interval time-varying delay; interval time-varying discrete delay
Subjects: Stability in control theory; Distributed parameter control systems; Linear algebra (numerical analysis); Optimisation techniques; Time-varying control systems
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