Sufficient conditions for finite-time stability of impulsive dynamical systems
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Ambrosino-2009-Sufficient Condition.pdf
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307.25 KB
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Author(s)
Ambrosino, Roberto
Calabrese, Francesco
Cosentino, Carlo
De Tommasi, Gianmaria
Date Issued
April 2009
Journal
IEEE Transactions on Automatic Control
Publisher
Institute of Electrical and Electronics Engineers
Citation
Ambrosino, R. et al. “Sufficient Conditions for Finite-Time Stability of Impulsive Dynamical Systems.” Automatic Control, IEEE Transactions on 54.4 (2009): 861-865. © 2009 Institute of Electrical and Electronics Engineers
Version
Final published version
Abstract
The finite-time stability problem for state-dependent impulsive dynamical linear systems (SD-IDLS) is addressed in this note. SD-IDLS are a special class of hybrid systems which exhibit jumps when the state trajectory reaches a resetting set. A sufficient condition for finite-time stability of SD-IDLS is provided. S-procedure arguments are exploited to obtain a formulation of this sufficient condition which is numerically tractable by means of Differential Linear Matrix Inequalities. Since such a formulation may be in general more conservative, a procedure which permits to automate its verification, without introduce conservatism, is given both for second order systems, and when the resetting set is ellipsoidal.
Subjects
state-dependent impulsive dynamical linear systems (SD-IDLS)
finite-time stability (FTS)
MIT Department
Massachusetts Institute of Technology. Department of Urban Studies and Planning
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
http://dx.doi.org/10.1109/TAC.2008.2010965
