Output controllability of the discrete-time linear switched systems

Artur Babiarz; Adam Czornik; Michał Niezabitowski

doi:10.1016/j.nahs.2015.12.004

Output controllability of the discrete-time linear switched systems

Katedra Automatyki i Robotyki (RAU/RAU3)

Wyniki badań: Wkład do czasopisma › Artykuł › recenzja

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Abstrakt

The article concerns the output controllability of discrete-time linear switched systems. The primary objective is to find a control signal which performs system from any initial state to the given output value in a finite time interval regardless of the switching signal. In addition, the search control signal is performed on the assumption that the current value of control is independent of the future values of switching signal. Furthermore, it is supposed that the switching sequence is constrained because some switches are not allowed. Necessary and sufficient conditions of some kinds of output controllability are presented. Consequently, three types of output controllability: from zero initial state to any final output, from any initial state to zero final output and from any initial state to any final output are discussed. Finally, illustrative examples are shown.

Język oryginału	angielski
Strony (od–do)	1-10
Liczba stron	10
Czasopismo	Nonlinear Analysis: Hybrid Systems
Tom	21
Identyfikatory DOI	https://doi.org/10.1016/j.nahs.2015.12.004
Status publikacji	Opublikowano - 1 sie 2016

Obszary tematyczne ASJC Scopus

Inżynieria sterowania i systemów
Analiza
Zastosowania informatyki

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10.1016/j.nahs.2015.12.004

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title = "Output controllability of the discrete-time linear switched systems",

abstract = "The article concerns the output controllability of discrete-time linear switched systems. The primary objective is to find a control signal which performs system from any initial state to the given output value in a finite time interval regardless of the switching signal. In addition, the search control signal is performed on the assumption that the current value of control is independent of the future values of switching signal. Furthermore, it is supposed that the switching sequence is constrained because some switches are not allowed. Necessary and sufficient conditions of some kinds of output controllability are presented. Consequently, three types of output controllability: from zero initial state to any final output, from any initial state to zero final output and from any initial state to any final output are discussed. Finally, illustrative examples are shown.",

keywords = "Controllability, Output controllability, Switched systems, Switching signal",

author = "Artur Babiarz and Adam Czornik and Micha{\l} Niezabitowski",

note = "Publisher Copyright: {\textcopyright} 2015 Elsevier Ltd.",

year = "2016",

month = aug,

day = "1",

doi = "10.1016/j.nahs.2015.12.004",

language = "English",

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T1 - Output controllability of the discrete-time linear switched systems

AU - Babiarz, Artur

AU - Czornik, Adam

AU - Niezabitowski, Michał

PY - 2016/8/1

Y1 - 2016/8/1

N2 - The article concerns the output controllability of discrete-time linear switched systems. The primary objective is to find a control signal which performs system from any initial state to the given output value in a finite time interval regardless of the switching signal. In addition, the search control signal is performed on the assumption that the current value of control is independent of the future values of switching signal. Furthermore, it is supposed that the switching sequence is constrained because some switches are not allowed. Necessary and sufficient conditions of some kinds of output controllability are presented. Consequently, three types of output controllability: from zero initial state to any final output, from any initial state to zero final output and from any initial state to any final output are discussed. Finally, illustrative examples are shown.

AB - The article concerns the output controllability of discrete-time linear switched systems. The primary objective is to find a control signal which performs system from any initial state to the given output value in a finite time interval regardless of the switching signal. In addition, the search control signal is performed on the assumption that the current value of control is independent of the future values of switching signal. Furthermore, it is supposed that the switching sequence is constrained because some switches are not allowed. Necessary and sufficient conditions of some kinds of output controllability are presented. Consequently, three types of output controllability: from zero initial state to any final output, from any initial state to zero final output and from any initial state to any final output are discussed. Finally, illustrative examples are shown.

KW - Controllability

KW - Output controllability

KW - Switched systems

KW - Switching signal

UR - https://www.scopus.com/pages/publications/84954221196

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DO - 10.1016/j.nahs.2015.12.004

M3 - Article

AN - SCOPUS:84954221196

SN - 1751-570X

VL - 21

SP - 1

EP - 10

JO - Nonlinear Analysis: Hybrid Systems

JF - Nonlinear Analysis: Hybrid Systems

ER -

Output controllability of the discrete-time linear switched systems

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