Controllability of higher-order linear systems with multiple delays in control

Jerzy Klamka

doi:10.1109/ICCA.2009.5410196

Controllability of higher-order linear systems with multiple delays in control

Jerzy Klamka

Department of Measurements and Control Systems (RAU/RAU2)

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

6 Citations (Scopus)

Abstract

In the present paper finite-dimensional dynamical control systems described by linear higher-order ordinary differential state equations with multiple point delays in control are considered. Using algebraic methods, necessary and sufficient condition for relative controllability in a given time interval for linear dynamical system with multiple point delays in control is formulated and proved. This condition is generalization to relative controllability case some previous results concerning controllability of linear dynamical systems without multiple point delays in the control. Simple numerical example, which illustrates theoretical result is also given. Finally, some remarks and comments on the existing results for controllability of dynamical systems with delays in control are also presented.

Original language	English
Title of host publication	2009 IEEE International Conference on Control and Automation, ICCA 2009
Pages	1158-1162
Number of pages	5
DOIs	https://doi.org/10.1109/ICCA.2009.5410196
Publication status	Published - 2009
Event	2009 IEEE International Conference on Control and Automation, ICCA 2009 - Christchurch, New Zealand Duration: 9 Dec 2009 → 11 Dec 2009

Publication series

Name	2009 IEEE International Conference on Control and Automation, ICCA 2009

Conference

Conference	2009 IEEE International Conference on Control and Automation, ICCA 2009
Country/Territory	New Zealand
City	Christchurch
Period	9/12/09 → 11/12/09

ASJC Scopus subject areas

Artificial Intelligence
Human-Computer Interaction
Control and Systems Engineering

Access to Document

10.1109/ICCA.2009.5410196

Cite this

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title = "Controllability of higher-order linear systems with multiple delays in control",

abstract = "In the present paper finite-dimensional dynamical control systems described by linear higher-order ordinary differential state equations with multiple point delays in control are considered. Using algebraic methods, necessary and sufficient condition for relative controllability in a given time interval for linear dynamical system with multiple point delays in control is formulated and proved. This condition is generalization to relative controllability case some previous results concerning controllability of linear dynamical systems without multiple point delays in the control. Simple numerical example, which illustrates theoretical result is also given. Finally, some remarks and comments on the existing results for controllability of dynamical systems with delays in control are also presented.",

author = "Jerzy Klamka",

year = "2009",

doi = "10.1109/ICCA.2009.5410196",

language = "English",

isbn = "9781424447060",

series = "2009 IEEE International Conference on Control and Automation, ICCA 2009",

pages = "1158--1162",

booktitle = "2009 IEEE International Conference on Control and Automation, ICCA 2009",

note = "2009 IEEE International Conference on Control and Automation, ICCA 2009 ; Conference date: 09-12-2009 Through 11-12-2009",

}

Klamka, J 2009, Controllability of higher-order linear systems with multiple delays in control. in 2009 IEEE International Conference on Control and Automation, ICCA 2009., 5410196, 2009 IEEE International Conference on Control and Automation, ICCA 2009, pp. 1158-1162, 2009 IEEE International Conference on Control and Automation, ICCA 2009, Christchurch, New Zealand, 9/12/09. https://doi.org/10.1109/ICCA.2009.5410196

Controllability of higher-order linear systems with multiple delays in control. / Klamka, Jerzy.
2009 IEEE International Conference on Control and Automation, ICCA 2009. 2009. p. 1158-1162 5410196 (2009 IEEE International Conference on Control and Automation, ICCA 2009).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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N2 - In the present paper finite-dimensional dynamical control systems described by linear higher-order ordinary differential state equations with multiple point delays in control are considered. Using algebraic methods, necessary and sufficient condition for relative controllability in a given time interval for linear dynamical system with multiple point delays in control is formulated and proved. This condition is generalization to relative controllability case some previous results concerning controllability of linear dynamical systems without multiple point delays in the control. Simple numerical example, which illustrates theoretical result is also given. Finally, some remarks and comments on the existing results for controllability of dynamical systems with delays in control are also presented.

AB - In the present paper finite-dimensional dynamical control systems described by linear higher-order ordinary differential state equations with multiple point delays in control are considered. Using algebraic methods, necessary and sufficient condition for relative controllability in a given time interval for linear dynamical system with multiple point delays in control is formulated and proved. This condition is generalization to relative controllability case some previous results concerning controllability of linear dynamical systems without multiple point delays in the control. Simple numerical example, which illustrates theoretical result is also given. Finally, some remarks and comments on the existing results for controllability of dynamical systems with delays in control are also presented.

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Y2 - 9 December 2009 through 11 December 2009

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Controllability of higher-order linear systems with multiple delays in control

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