On controllability with respect to the expectation of discrete time jump linear systems

Adam Czornik; Andrzej Swierniak

doi:10.1016/S0016-0032(01)00014-X

On controllability with respect to the expectation of discrete time jump linear systems

Wyniki badań: Wkład do czasopisma › Artykuł › recenzja

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Abstrakt

In this paper we consider a problem of controllability of discrete time linear systems endowed with randomly jumping parameters which can be described by a finite state Markov chain. Necessary and sufficient conditions for existence of a control which governs the expectation of the state of the system from any initial condition to a given target value at a given time are presented. Comparison with other definitions of controllability for such systems is also done.

Język oryginału	angielski
Strony (od–do)	443-453
Liczba stron	11
Czasopismo	Journal of the Franklin Institute
Tom	338
Numer wydania	4
Identyfikatory DOI	https://doi.org/10.1016/S0016-0032(01)00014-X
Status publikacji	Opublikowano - lip 2001

Obszary tematyczne ASJC Scopus

Inżynieria sterowania i systemów
Przetwarzanie sygnałów
Sieci komputerowe i komunikacja
Matematyka stosowana

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10.1016/S0016-0032(01)00014-X

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Cytowanie

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title = "On controllability with respect to the expectation of discrete time jump linear systems",

abstract = "In this paper we consider a problem of controllability of discrete time linear systems endowed with randomly jumping parameters which can be described by a finite state Markov chain. Necessary and sufficient conditions for existence of a control which governs the expectation of the state of the system from any initial condition to a given target value at a given time are presented. Comparison with other definitions of controllability for such systems is also done.",

keywords = "Controllability, Jump parameter, Linear system",

author = "Adam Czornik and Andrzej Swierniak",

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T1 - On controllability with respect to the expectation of discrete time jump linear systems

AU - Czornik, Adam

AU - Swierniak, Andrzej

PY - 2001/7

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N2 - In this paper we consider a problem of controllability of discrete time linear systems endowed with randomly jumping parameters which can be described by a finite state Markov chain. Necessary and sufficient conditions for existence of a control which governs the expectation of the state of the system from any initial condition to a given target value at a given time are presented. Comparison with other definitions of controllability for such systems is also done.

AB - In this paper we consider a problem of controllability of discrete time linear systems endowed with randomly jumping parameters which can be described by a finite state Markov chain. Necessary and sufficient conditions for existence of a control which governs the expectation of the state of the system from any initial condition to a given target value at a given time are presented. Comparison with other definitions of controllability for such systems is also done.

KW - Controllability

KW - Jump parameter

KW - Linear system

UR - https://www.scopus.com/pages/publications/0035400693

U2 - 10.1016/S0016-0032(01)00014-X

DO - 10.1016/S0016-0032(01)00014-X

M3 - Article

AN - SCOPUS:0035400693

SN - 0016-0032

VL - 338

SP - 443

EP - 453

JO - Journal of the Franklin Institute

JF - Journal of the Franklin Institute

IS - 4

ER -

On controllability with respect to the expectation of discrete time jump linear systems

Abstrakt

Obszary tematyczne ASJC Scopus

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