Trajectory controllability of semilinear systems with multiple variable delays in control

Jerzy Klamka; Michał Niezabitowski

doi:10.1063/1.4904616

Trajectory controllability of semilinear systems with multiple variable delays in control

Jerzy Klamka
, Michał Niezabitowski

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

17 Citations (Scopus)

Abstract

In this paper, finite-dimensional dynamical control system described by semilinear differential state equation with multiple variable delays in control are considered. The concept of controllability we extend on trajectory controllability for systems with multiple point delays in control. Moreover, remarks and comments on the relationships between different concepts of controllability are presented. Finally, simple numerical example, which illustrates theoretical considerations is also given. The possible extensions are also proposed.

Original language	English
Title of host publication	10th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2014
Editors	Seenith Sivasundaram
Publisher	American Institute of Physics Inc.
Pages	498-503
Number of pages	6
ISBN (Electronic)	9780735412767
DOIs	https://doi.org/10.1063/1.4904616
Publication status	Published - 10 Dec 2014
Event	10th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2014 - Narvik, Norway Duration: 15 Jul 2014 → 18 Jul 2014

Publication series

Name	AIP Conference Proceedings
Volume	1637
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	10th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2014
Country/Territory	Norway
City	Narvik
Period	15/07/14 → 18/07/14

Keywords

controllability
delayed control systems
lipschitz condition
nonlinear finite-dimensional control systems
semilinear control systems
trajectory controllability

ASJC Scopus subject areas

General Physics and Astronomy

Access to Document

10.1063/1.4904616

Cite this

Klamka, J., & Niezabitowski, M. (2014). Trajectory controllability of semilinear systems with multiple variable delays in control. In S. Sivasundaram (Ed.), 10th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2014 (pp. 498-503). (AIP Conference Proceedings; Vol. 1637). American Institute of Physics Inc.. https://doi.org/10.1063/1.4904616

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title = "Trajectory controllability of semilinear systems with multiple variable delays in control",

abstract = "In this paper, finite-dimensional dynamical control system described by semilinear differential state equation with multiple variable delays in control are considered. The concept of controllability we extend on trajectory controllability for systems with multiple point delays in control. Moreover, remarks and comments on the relationships between different concepts of controllability are presented. Finally, simple numerical example, which illustrates theoretical considerations is also given. The possible extensions are also proposed.",

keywords = "controllability, delayed control systems, lipschitz condition, nonlinear finite-dimensional control systems, semilinear control systems, trajectory controllability",

author = "Jerzy Klamka and Micha{\l} Niezabitowski",

note = "Publisher Copyright: {\textcopyright} 2014 AIP Publishing LLC.; 10th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2014 ; Conference date: 15-07-2014 Through 18-07-2014",

year = "2014",

month = dec,

day = "10",

doi = "10.1063/1.4904616",

language = "English",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics Inc.",

pages = "498--503",

editor = "Seenith Sivasundaram",

booktitle = "10th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2014",

address = "United States",

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Klamka, J & Niezabitowski, M 2014, Trajectory controllability of semilinear systems with multiple variable delays in control. in S Sivasundaram (ed.), 10th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2014. AIP Conference Proceedings, vol. 1637, American Institute of Physics Inc., pp. 498-503, 10th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2014, Narvik, Norway, 15/07/14. https://doi.org/10.1063/1.4904616

Trajectory controllability of semilinear systems with multiple variable delays in control. / Klamka, Jerzy; Niezabitowski, Michał.
10th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2014. ed. / Seenith Sivasundaram. American Institute of Physics Inc., 2014. p. 498-503 (AIP Conference Proceedings; Vol. 1637).

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

TY - GEN

T1 - Trajectory controllability of semilinear systems with multiple variable delays in control

AU - Klamka, Jerzy

AU - Niezabitowski, Michał

PY - 2014/12/10

Y1 - 2014/12/10

N2 - In this paper, finite-dimensional dynamical control system described by semilinear differential state equation with multiple variable delays in control are considered. The concept of controllability we extend on trajectory controllability for systems with multiple point delays in control. Moreover, remarks and comments on the relationships between different concepts of controllability are presented. Finally, simple numerical example, which illustrates theoretical considerations is also given. The possible extensions are also proposed.

AB - In this paper, finite-dimensional dynamical control system described by semilinear differential state equation with multiple variable delays in control are considered. The concept of controllability we extend on trajectory controllability for systems with multiple point delays in control. Moreover, remarks and comments on the relationships between different concepts of controllability are presented. Finally, simple numerical example, which illustrates theoretical considerations is also given. The possible extensions are also proposed.

KW - controllability

KW - delayed control systems

KW - lipschitz condition

KW - nonlinear finite-dimensional control systems

KW - semilinear control systems

KW - trajectory controllability

UR - https://www.scopus.com/pages/publications/85010904021

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DO - 10.1063/1.4904616

M3 - Conference contribution

AN - SCOPUS:85010904021

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BT - 10th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2014

A2 - Sivasundaram, Seenith

PB - American Institute of Physics Inc.

T2 - 10th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2014

Y2 - 15 July 2014 through 18 July 2014

ER -

Trajectory controllability of semilinear systems with multiple variable delays in control

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