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Global Stability of Polytopic Linear Time-Varying Dynamic Systems under Time-Varying Point Delays and Impulsive Controls
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-33, 33 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-09-15
Country of Publication
Egypt
No. of Pages
33
Main Subjects
Abstract EN
This paper investigates the stability properties of a class of dynamic linear systems possessing several linear time-invariant parameterizations (or configurations) which conform a linear time-varying polytopic dynamic system with a finite number of time-varying time-differentiable point delays.
The parameterizations may be timevarying and with bounded discontinuities and they can be subject to mixed regular plus impulsive controls within a sequence of time instants of zero measure.
The polytopic parameterization for the dynamics associated with each delay is specific, so that (q+1) polytopic parameterizations are considered for a system with q delays being also subject to delay-free dynamics.
The considered general dynamic system includes, as particular cases, a wide class of switched linear systems whose individual parameterizations are timeinvariant which are governed by a switching rule.
However, the dynamic system under consideration is viewed as much more general since it is time-varying with timevarying delays and the bounded discontinuous changes of active parameterizations are generated by impulsive controls in the dynamics and, at the same time, there is not a prescribed set of candidate potential parameterizations.
American Psychological Association (APA)
de La Sen, Manuel. 2010. Global Stability of Polytopic Linear Time-Varying Dynamic Systems under Time-Varying Point Delays and Impulsive Controls. Mathematical Problems in Engineering،Vol. 2010, no. 2010, pp.1-33.
https://search.emarefa.net/detail/BIM-491143
Modern Language Association (MLA)
de La Sen, Manuel. Global Stability of Polytopic Linear Time-Varying Dynamic Systems under Time-Varying Point Delays and Impulsive Controls. Mathematical Problems in Engineering No. 2010 (2010), pp.1-33.
https://search.emarefa.net/detail/BIM-491143
American Medical Association (AMA)
de La Sen, Manuel. Global Stability of Polytopic Linear Time-Varying Dynamic Systems under Time-Varying Point Delays and Impulsive Controls. Mathematical Problems in Engineering. 2010. Vol. 2010, no. 2010, pp.1-33.
https://search.emarefa.net/detail/BIM-491143
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-491143