Stability and controllability of switched systems

J. Klamka; A. Czornik; M. Niezabitowski

doi:10.2478/bpasts-2013-0055

Stability and controllability of switched systems

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Abstrakt

The study of properties of switched and hybrid systems gives rise to a number of interesting and challenging mathematical problems. This paper aims to briefly survey recent results on stability and controllability of switched linear systems. First, the stability analysis for switched systems is reviewed. We focus on the stability analysis for switched linear systems under arbitrary switching, and we highlight necessary and sufficient conditions for asymptotic stability. After that, we review the controllability results.

Język oryginału	angielski
Strony (od–do)	547-555
Liczba stron	9
Czasopismo	Bulletin of the Polish Academy of Sciences: Technical Sciences
Tom	61
Numer wydania	3
Identyfikatory DOI	https://doi.org/10.2478/bpasts-2013-0055
Status publikacji	Opublikowano - 1 wrz 2013

Obszary tematyczne ASJC Scopus

Fizyka atomowa i molekularna oraz optyka
Systemy informacyjne
Inżynieria ogólna
Sieci komputerowe i komunikacja
Sztuczna inteligencja

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10.2478/bpasts-2013-0055

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Cytowanie

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title = "Stability and controllability of switched systems",

abstract = "The study of properties of switched and hybrid systems gives rise to a number of interesting and challenging mathematical problems. This paper aims to briefly survey recent results on stability and controllability of switched linear systems. First, the stability analysis for switched systems is reviewed. We focus on the stability analysis for switched linear systems under arbitrary switching, and we highlight necessary and sufficient conditions for asymptotic stability. After that, we review the controllability results.",

keywords = "Lyapunov function, characteristic exponents, controllability, hybrid systems, stability",

author = "J. Klamka and A. Czornik and M. Niezabitowski",

year = "2013",

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T1 - Stability and controllability of switched systems

AU - Klamka, J.

AU - Czornik, A.

AU - Niezabitowski, M.

PY - 2013/9/1

Y1 - 2013/9/1

N2 - The study of properties of switched and hybrid systems gives rise to a number of interesting and challenging mathematical problems. This paper aims to briefly survey recent results on stability and controllability of switched linear systems. First, the stability analysis for switched systems is reviewed. We focus on the stability analysis for switched linear systems under arbitrary switching, and we highlight necessary and sufficient conditions for asymptotic stability. After that, we review the controllability results.

AB - The study of properties of switched and hybrid systems gives rise to a number of interesting and challenging mathematical problems. This paper aims to briefly survey recent results on stability and controllability of switched linear systems. First, the stability analysis for switched systems is reviewed. We focus on the stability analysis for switched linear systems under arbitrary switching, and we highlight necessary and sufficient conditions for asymptotic stability. After that, we review the controllability results.

KW - Lyapunov function

KW - characteristic exponents

KW - controllability

KW - hybrid systems

KW - stability

UR - https://www.scopus.com/pages/publications/84887259875

U2 - 10.2478/bpasts-2013-0055

DO - 10.2478/bpasts-2013-0055

M3 - Article

AN - SCOPUS:84887259875

SN - 0239-7528

VL - 61

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JO - Bulletin of the Polish Academy of Sciences: Technical Sciences

JF - Bulletin of the Polish Academy of Sciences: Technical Sciences

IS - 3

ER -

Stability and controllability of switched systems

Abstrakt

Obszary tematyczne ASJC Scopus

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