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Stability Results of a Class of Hybrid Systems under Switched Continuous-Time and Discrete-Time Control
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-28, 28 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-06-04
Country of Publication
Egypt
No. of Pages
28
Main Subjects
Abstract EN
This paper investigates the stability properties of a class of switched systems possessing several linear time-invariant parameterizations (or configurations) which are governed by a switching law.
It is assumed that the parameterizations are stabilized individually via an appropriate linear state or output feedback stabilizing controller whose existence is first discussed.
A main novelty with respect to previous research is that the various individual parameterizations might be continuous-time, discrete-time, or mixed so that the whole switched system is a hybrid continuous/discrete dynamic system.
The switching rule governs the choice of the parameterization which is active at each time interval in the switched system.
Global asymptotic stability of the switched system is guaranteed for the case when a common Lyapunov function exists for all the individual parameterizations and the sampling period of the eventual discretized parameterizations taking part of the switched system is small enough.
Some extensions are also investigated for controlled systems under decentralized or mixed centralized/decentralized control laws which stabilize each individual active parameterization.
American Psychological Association (APA)
de La Sen, Manuel& Ibeas, A.. 2009. Stability Results of a Class of Hybrid Systems under Switched Continuous-Time and Discrete-Time Control. Discrete Dynamics in Nature and Society،Vol. 2009, no. 2009, pp.1-28.
https://search.emarefa.net/detail/BIM-462830
Modern Language Association (MLA)
de La Sen, Manuel& Ibeas, A.. Stability Results of a Class of Hybrid Systems under Switched Continuous-Time and Discrete-Time Control. Discrete Dynamics in Nature and Society No. 2009 (2009), pp.1-28.
https://search.emarefa.net/detail/BIM-462830
American Medical Association (AMA)
de La Sen, Manuel& Ibeas, A.. Stability Results of a Class of Hybrid Systems under Switched Continuous-Time and Discrete-Time Control. Discrete Dynamics in Nature and Society. 2009. Vol. 2009, no. 2009, pp.1-28.
https://search.emarefa.net/detail/BIM-462830
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-462830