Note on stability of discrete-time time-varying delay systems
Note on stability of discrete-time time-varying delay systems
- Author(s): J. Liu and J. Zhang
- DOI: 10.1049/iet-cta.2011.0147
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- Author(s): J. Liu 1 and J. Zhang 1
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View affiliations
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Affiliations:
1: School of Electrical and Information Engineering, Hunan University, Changsha, People's Republic of China
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Affiliations:
1: School of Electrical and Information Engineering, Hunan University, Changsha, People's Republic of China
- Source:
Volume 6, Issue 2,
19 January 2012,
p.
335 – 339
DOI: 10.1049/iet-cta.2011.0147 , Print ISSN 1751-8644, Online ISSN 1751-8652
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This note is concerned with the problem of delay-dependent stability for discrete-time systems with time-varying delay. Two novel delay-dependent stability conditions are established by bounding the forward difference of the Lyapunov functional based on the reciprocally convex approach and a scale inequality, respectively. These criteria improve the existing ones with smaller computation burden and less conservatism, which is verified by both theoretical proof and a numerical example.
Inspec keywords: discrete time systems; convex programming; time-varying systems; delay systems; stability; Lyapunov methods
Other keywords:
Subjects: Stability in control theory; Other numerical methods; Optimisation techniques; Discrete control systems; Distributed parameter control systems; Time-varying control systems
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