Dwell-time computation for stability of switched systems with time delays
The aim of this study is to find an improved dwell time that guarantees the stability of switched systems with heterogeneous constant time-delays. Piecewise Lyapunov–Krasovkii functionals are used for each candidate system to investigate the stability of the switched time-delayed system. Under the a...
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Published in | IET control theory & applications Vol. 7; no. 10; pp. 1422 - 1428 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
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Stevenage
The Institution of Engineering and Technology
01.07.2013
John Wiley & Sons, Inc Institution of Engineering and Technology |
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Abstract | The aim of this study is to find an improved dwell time that guarantees the stability of switched systems with heterogeneous constant time-delays. Piecewise Lyapunov–Krasovkii functionals are used for each candidate system to investigate the stability of the switched time-delayed system. Under the assumption that each candidate system is stable for small delay values, a sufficient condition for dwell-time that guarantees the asymptotic stability is derived. Numerical examples are given to compare the results with the previously obtained dwell-time bounds. |
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AbstractList | The aim of this study is to find an improved dwell time that guarantees the stability of switched systems with heterogeneous constant time-delays. Piecewise Lyapunov–Krasovkii functionals are used for each candidate system to investigate the stability of the switched time-delayed system. Under the assumption that each candidate system is stable for small delay values, a sufficient condition for dwell-time that guarantees the asymptotic stability is derived. Numerical examples are given to compare the results with the previously obtained dwell-time bounds. The aim of this study is to find an improved dwell time that guarantees the stability of switched systems with heterogeneous constant time-delays. Piecewise Lyapunov-Krasovkii functionals are used for each candidate system to investigate the stability of the switched time-delayed system. Under the assumption that each candidate system is stable for small delay values, a sufficient condition for dwell-time that guarantees the asymptotic stability is derived. Numerical examples are given to compare the results with the previously obtained dwell-time bounds. [PUBLICATION ABSTRACT] |
Author | Çalışkan, Sina Yamaç Özbay, Hitay Niculescu, Silviu-Iulian |
Author_xml | – sequence: 1 givenname: Sina Yamaç surname: Çalışkan fullname: Çalışkan, Sina Yamaç organization: 1Department of Electrical Engineering, University of California, Los Angeles, CA 90095-1594, USA – sequence: 2 givenname: Hitay surname: Özbay fullname: Özbay, Hitay email: hitay@bilkent.edu.tr organization: 2Department of Electrical and Electronics Engineering, Bilkent University, 06800 Bilkent, Ankara, Turkey – sequence: 3 givenname: Silviu-Iulian surname: Niculescu fullname: Niculescu, Silviu-Iulian organization: 3LSS-SUPELEC, 3, Rue Joliot-Curie 91192, Gif-sur-Yvette, France |
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Keywords | time-varying systems dwell-time computation piecewise linear techniques candidate system asymptotic stability switched system stability piecewise Lyapunov-Krasovkii functionals switched time-delayed system delays dwell-time bounds sufficient condition heterogeneous constant time-delays Lyapunov methods |
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Snippet | The aim of this study is to find an improved dwell time that guarantees the stability of switched systems with heterogeneous constant time-delays. Piecewise... The aim of this study is to find an improved dwell time that guarantees the stability of switched systems with heterogeneous constant time‐delays. Piecewise... |
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SubjectTerms | Asymptotic properties asymptotic stability Automatic Automatic Control Engineering candidate system Computation Computer Science Control theory Delay delays Dwell time dwell‐time bounds dwell‐time computation Engineering Sciences Functionals heterogeneous constant time‐delays Lyapunov methods piecewise linear techniques piecewise Lyapunov‐Krasovkii functionals Stability sufficient condition switched system stability switched time‐delayed system Time delay time‐varying systems |
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Title | Dwell-time computation for stability of switched systems with time delays |
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