Controllability of second-order infinite-dimensional systems

Jerzy Klamka; Janusz Wyrwał

doi:10.1016/j.sysconle.2007.10.002

Controllability of second-order infinite-dimensional systems

Jerzy Klamka
, Janusz Wyrwał

Katedra Pomiarów i Systemów Sterowania (RAU/RAU2)

Wyniki badań: Wkład do czasopisma › Artykuł › recenzja

33 Cytowania z bazy Scopus

Abstrakt

In the paper, the approximate controllability of linear abstract second-order infinite-dimensional dynamical systems is considered. It is proved using the frequency-domain method, that approximate controllability of second-order system can be verified by the approximate controllability conditions for the corresponding simplified first-order system. General results are then applied for approximate controllability investigation of a vibratory dynamical system modeling flexible mechanical structure. Some special cases are also considered. Moreover, remarks and comments on the relationships between different concepts of controllability are given. The paper extends earlier results on approximate controllability of second-order abstract dynamical systems.

Język oryginału	angielski
Strony (od–do)	386-391
Liczba stron	6
Czasopismo	Systems and Control Letters
Tom	57
Numer wydania	5
Identyfikatory DOI	https://doi.org/10.1016/j.sysconle.2007.10.002
Status publikacji	Opublikowano - maj 2008

Obszary tematyczne ASJC Scopus

Inżynieria sterowania i systemów
Informatyka ogólna
Inżynieria mechaniczna
Inżynieria elektryczna i elektroniczna

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10.1016/j.sysconle.2007.10.002

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Cytowanie

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title = "Controllability of second-order infinite-dimensional systems",

abstract = "In the paper, the approximate controllability of linear abstract second-order infinite-dimensional dynamical systems is considered. It is proved using the frequency-domain method, that approximate controllability of second-order system can be verified by the approximate controllability conditions for the corresponding simplified first-order system. General results are then applied for approximate controllability investigation of a vibratory dynamical system modeling flexible mechanical structure. Some special cases are also considered. Moreover, remarks and comments on the relationships between different concepts of controllability are given. The paper extends earlier results on approximate controllability of second-order abstract dynamical systems.",

keywords = "Controllability of abstract dynamical systems, Distributed parameter dynamical systems, Frequency-domain methods for linear systems, Linear infinite-dimensional control systems, Mechanical flexible structures",

author = "Jerzy Klamka and Janusz Wyrwa{\l}",

year = "2008",

month = may,

doi = "10.1016/j.sysconle.2007.10.002",

language = "English",

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pages = "386--391",

journal = "Systems and Control Letters",

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T1 - Controllability of second-order infinite-dimensional systems

AU - Klamka, Jerzy

AU - Wyrwał, Janusz

PY - 2008/5

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N2 - In the paper, the approximate controllability of linear abstract second-order infinite-dimensional dynamical systems is considered. It is proved using the frequency-domain method, that approximate controllability of second-order system can be verified by the approximate controllability conditions for the corresponding simplified first-order system. General results are then applied for approximate controllability investigation of a vibratory dynamical system modeling flexible mechanical structure. Some special cases are also considered. Moreover, remarks and comments on the relationships between different concepts of controllability are given. The paper extends earlier results on approximate controllability of second-order abstract dynamical systems.

AB - In the paper, the approximate controllability of linear abstract second-order infinite-dimensional dynamical systems is considered. It is proved using the frequency-domain method, that approximate controllability of second-order system can be verified by the approximate controllability conditions for the corresponding simplified first-order system. General results are then applied for approximate controllability investigation of a vibratory dynamical system modeling flexible mechanical structure. Some special cases are also considered. Moreover, remarks and comments on the relationships between different concepts of controllability are given. The paper extends earlier results on approximate controllability of second-order abstract dynamical systems.

KW - Controllability of abstract dynamical systems

KW - Distributed parameter dynamical systems

KW - Frequency-domain methods for linear systems

KW - Linear infinite-dimensional control systems

KW - Mechanical flexible structures

UR - https://www.scopus.com/pages/publications/40949134162

U2 - 10.1016/j.sysconle.2007.10.002

DO - 10.1016/j.sysconle.2007.10.002

M3 - Article

AN - SCOPUS:40949134162

SN - 0167-6911

VL - 57

SP - 386

EP - 391

JO - Systems and Control Letters

JF - Systems and Control Letters

IS - 5

ER -

Controllability of second-order infinite-dimensional systems

Abstrakt

Obszary tematyczne ASJC Scopus

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