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 inIET control theory & applications Vol. 7; no. 10; pp. 1422 - 1428
Main Authors Çalışkan, Sina Yamaç, Özbay, Hitay, Niculescu, Silviu-Iulian
Format Journal Article
LanguageEnglish
Published 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.
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
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  givenname: Hitay
  surname: Özbay
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  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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Issue 10
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
URI http://digital-library.theiet.org/content/journals/10.1049/iet-cta.2011.0749
https://onlinelibrary.wiley.com/doi/abs/10.1049%2Fiet-cta.2011.0749
https://www.proquest.com/docview/1494060763/abstract/
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https://centralesupelec.hal.science/hal-00935511
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