Explicit sufficient stability conditions on dwell time of linear switched systems

Ozkan Karabacak, Ferruh Ilhan, Isil Oner

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6 Citationer (Scopus)

Abstract

Explicit conditions on the minimum dwell time that guarantees the asymptotic stability of switched linear systems are given. To this aim, methods that have been proposed for non-defective stable subsystem matrices are generalized to arbitrary stable subsystems matrices. Admissible switchings between subsystems are assumed to be in a general form, namely switchings respect a given directed graph. It is shown that logarithmic norm of matrix exponentials and Lambert-W functions can be used to bound the solutions of switched linear systems in case of defective subsystem matrices. Using a generalized version of Jordan form, dwell time bound can be found for any set of stable subsystem matrices.

OriginalsprogEngelsk
Titel53rd IEEE Conference on Decision and Control
Antal sider5
ForlagIEEE
Publikationsdato12 feb. 2015
Sider6266-6270
ISBN (Trykt)78-1-4799-7746-8
ISBN (Elektronisk)978-1-4673-6090-6
DOI
StatusUdgivet - 12 feb. 2015
Udgivet eksterntJa
Begivenhed2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014 - Los Angeles, USA
Varighed: 15 dec. 201417 dec. 2014

Konference

Konference2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014
Land/OmrådeUSA
ByLos Angeles
Periode15/12/201417/12/2014
SponsorAltair, dSPACE, et al., Journal of the Franklin Institute, MathWorks, Springer
NavnProceedings of the IEEE Conference on Decision and Control
ISSN0743-1546

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