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Well-Posedness of Reset Control Systems as State-Dependent Impulsive Dynamical Systems
Joint Authors
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-10-31
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
Reset control systems are a special type of state-dependent impulsive dynamic systems, in which the time evolution depends both on continuous dynamics between resets and the discrete dynamics corresponding to the resetting times.
This work is devoted to investigate well-posedness of reset control systems, taking as starting point the classical definition of Clegg and Horowitz.
Well-posedness is related to the existence and uniqueness of solutions, and in particular to the resetting times to be well defined and distinct.
A sufficient condition is developed for a reset system to have well-posed resetting times, which is also a sufficient condition for avoiding Zeno solutions and, thus, for a reset control system to be well-posed.
American Psychological Association (APA)
Baños, Alfonso& Mulero, Juan I.. 2012. Well-Posedness of Reset Control Systems as State-Dependent Impulsive Dynamical Systems. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-499726
Modern Language Association (MLA)
Baños, Alfonso& Mulero, Juan I.. Well-Posedness of Reset Control Systems as State-Dependent Impulsive Dynamical Systems. Abstract and Applied Analysis No. 2012 (2012), pp.1-16.
https://search.emarefa.net/detail/BIM-499726
American Medical Association (AMA)
Baños, Alfonso& Mulero, Juan I.. Well-Posedness of Reset Control Systems as State-Dependent Impulsive Dynamical Systems. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-16.
https://search.emarefa.net/detail/BIM-499726
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-499726