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Stability Analysis of Impulsive Switched Time-Delay Systems With State-Dependent Impulses
KTH, School of Electrical Engineering and Computer Science (EECS), Automatic Control.
Univ Sci & Technol China, Dept Automat, Hefei 230026, Anhui, Peoples R China..
2019 (English)In: IEEE Transactions on Automatic Control, ISSN 0018-9286, E-ISSN 1558-2523, Vol. 64, no 9, p. 3928-3935Article in journal (Refereed) Published
Abstract [en]

This paper studies the stability for impulsive switched time-delay systems with state-dependent impulses. Since the impulses and the switches are not necessarily synchronous, we start from a stability analysis of impulsive switched time-delay systems with time-dependent impulses. Sufficient conditions are derived to guarantee the stability property, which extends the previous results for the synchronous switch and impulse case. For the state-dependent impulse case, using the B-equivalent method, impulsive switched time-delay systems with state-dependent impulses are transformed into impulsive switched time-delay systems with time-dependent impulses. The equivalence between the original system and the transformed system is established, and stability conditions are obtained for impulsive switched time-delay systems with state-dependent impulses. Finally, a numerical example is given to demonstrate the obtained results.

Place, publisher, year, edition, pages
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC , 2019. Vol. 64, no 9, p. 3928-3935
Keywords [en]
B-equivalence, Lyapunov function, state-dependent impulses, switched systems, time delays
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:kth:diva-260177DOI: 10.1109/TAC.2018.2890768ISI: 000484210500041OAI: oai:DiVA.org:kth-260177DiVA, id: diva2:1355937
Note

QC 20190930

Available from: 2019-09-30 Created: 2019-09-30 Last updated: 2019-09-30Bibliographically approved

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Ren, Wei

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