Sufficient conditions for finite-time stability of impulsive dynamical systems
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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.
Date issued
2009-04Department
Massachusetts Institute of Technology. Department of Urban Studies and PlanningJournal
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
Other identifiers
INSPEC Accession Number: 10587816
ISSN
0018-9286
Keywords
state-dependent impulsive dynamical linear systems (SD-IDLS), finite-time stability (FTS)