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

Wyniki badań: Rozdział w książce/raport/materiał konferencyjny › Wkład w konferencję › recenzja

17 Cytowania z bazy Scopus

Abstrakt

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.

Język oryginału	angielski
Tytuł publikacji goszczącej	10th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2014
Redaktorzy	Seenith Sivasundaram
Wydawca	American Institute of Physics Inc.
Strony	498-503
Liczba stron	6
ISBN (elektroniczny)	9780735412767
Identyfikatory DOI	https://doi.org/10.1063/1.4904616
Status publikacji	Opublikowano - 10 gru 2014
Wydarzenie	10th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2014 - Narvik, Norwegia Czas trwania: 15 lip 2014 → 18 lip 2014

Seria publikacji

Nazwa	AIP Conference Proceedings
Tom	1637
ISSN (drukowany)	0094-243X
ISSN (elektroniczny)	1551-7616

Konferencja

Konferencja	10th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2014
Kraj/Terytorium	Norwegia
Miejscowość	Narvik
Okres	15/07/14 → 18/07/14

Obszary tematyczne ASJC Scopus

Ogólna fizyka i astronomia

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Cytowanie

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

@inproceedings{79f5f6bf4f74469b82e007945ef1f5e6,

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",

}

Klamka, J & Niezabitowski, M 2014, Trajectory controllability of semilinear systems with multiple variable delays in control. w S Sivasundaram (red.), 10th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2014. AIP Conference Proceedings, tom 1637, American Institute of Physics Inc., str. 498-503, 10th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2014, Narvik, Norwegia, 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. red. / Seenith Sivasundaram. American Institute of Physics Inc., 2014. str. 498-503 (AIP Conference Proceedings; Tom 1637).

Wyniki badań: Rozdział w książce/raport/materiał konferencyjny › Wkład w konferencję › recenzja

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

U2 - 10.1063/1.4904616

DO - 10.1063/1.4904616

M3 - Conference contribution

AN - SCOPUS:85010904021

T3 - AIP Conference Proceedings

SP - 498

EP - 503

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

Abstrakt

Seria publikacji

Konferencja

Obszary tematyczne ASJC Scopus

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