Delay-dependent stability criteria for linear systems with multiple time delays
Delay-dependent stability criteria for linear systems with multiple time delays
- Author(s): Y. He ; M. Wu ; J.-H. She
- DOI: 10.1049/ip-cta:20045279
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- Author(s): Y. He 1 ; M. Wu 1 ; J.-H. She 2
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View affiliations
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Affiliations:
1: School of Information Science and Engineering, Central South University, Changsha, People's Republic of China
2: School of Bionics, Tokyo University of Technology, Tokyo, Japan
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Affiliations:
1: School of Information Science and Engineering, Central South University, Changsha, People's Republic of China
- Source:
Volume 153, Issue 4,
July 2006,
p.
447 – 452
DOI: 10.1049/ip-cta:20045279 , Print ISSN 1350-2379, Online ISSN 1359-7035
The problem of the delay-dependent stability of linear systems with multiple time delays is discussed. A new method is first presented for a system with two time delays, in which free weighting matrices are used to express the relationships among the terms of the Leibniz–Newton formula. Next, this method is used to show the equivalence between a system with two identical time delays and a system with a single time delay. Then, a numerical example verifies that the criterion given is effective and is a significant improvement over the existing ones. Finally, the basic idea is extended to a system with multiple time delays.
Inspec keywords: linear systems; Newton method; delays; stability criteria
Other keywords:
Subjects: Distributed parameter control systems; Stability in control theory; Interpolation and function approximation (numerical analysis)
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