Constrained exact controllability of semilinear systems with delay in control

Jerzy Klamka

doi:10.1109/cdc.2004.1430237

Constrained exact controllability of semilinear systems with delay in control

Jerzy Klamka

Department of Measurements and Control Systems (RAU/RAU2)

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

Abstract

In the paper infinite-dimensional dynamical control systems wth constant point delay in the control described by semilinear abstract differential equations are considered. Using a generalized open mapping theorem, sufficient conditions for constrained exact local controllability are formulated and proved. It is generally assumed, that the values of admissible controls are in a convex and closed cone with vertex at zero. Constrained exact local relative controllability of semilinear abstract second-order dynamical systems are also formulated and proved. As an illustrative example, constrained exact local relative controllability problem for semilinear hyperbolic type distributed parameters dynamical system is solved in details.

Original language	English
Title of host publication	2004 43rd IEEE Conference on Decision and Control (CDC)
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	1388-1393
Number of pages	6
ISBN (Print)	0780386825
DOIs	https://doi.org/10.1109/cdc.2004.1430237
Publication status	Published - 2004
Event	43rd IEEE Conference on Decision and Control, CDC 2004 - Nassau, Bahamas Duration: 14 Dec 2004 → 17 Dec 2004

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
Volume	2
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	43rd IEEE Conference on Decision and Control, CDC 2004
Country/Territory	Bahamas
City	Nassau
Period	14/12/04 → 17/12/04

ASJC Scopus subject areas

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

Access to Document

10.1109/cdc.2004.1430237

Cite this

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title = "Constrained exact controllability of semilinear systems with delay in control",

abstract = "In the paper infinite-dimensional dynamical control systems wth constant point delay in the control described by semilinear abstract differential equations are considered. Using a generalized open mapping theorem, sufficient conditions for constrained exact local controllability are formulated and proved. It is generally assumed, that the values of admissible controls are in a convex and closed cone with vertex at zero. Constrained exact local relative controllability of semilinear abstract second-order dynamical systems are also formulated and proved. As an illustrative example, constrained exact local relative controllability problem for semilinear hyperbolic type distributed parameters dynamical system is solved in details.",

author = "Jerzy Klamka",

year = "2004",

doi = "10.1109/cdc.2004.1430237",

language = "English",

isbn = "0780386825",

series = "Proceedings of the IEEE Conference on Decision and Control",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "1388--1393",

booktitle = "2004 43rd IEEE Conference on Decision and Control (CDC)",

address = "United States",

note = " 43rd IEEE Conference on Decision and Control, CDC 2004 ; Conference date: 14-12-2004 Through 17-12-2004",

}

Klamka, J 2004, Constrained exact controllability of semilinear systems with delay in control. in 2004 43rd IEEE Conference on Decision and Control (CDC)., TuC13.5, Proceedings of the IEEE Conference on Decision and Control, vol. 2, Institute of Electrical and Electronics Engineers Inc., pp. 1388-1393, 43rd IEEE Conference on Decision and Control, CDC 2004, Nassau, Bahamas, 14/12/04. https://doi.org/10.1109/cdc.2004.1430237

Constrained exact controllability of semilinear systems with delay in control. / Klamka, Jerzy.
2004 43rd IEEE Conference on Decision and Control (CDC). Institute of Electrical and Electronics Engineers Inc., 2004. p. 1388-1393 TuC13.5 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2).

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

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N2 - In the paper infinite-dimensional dynamical control systems wth constant point delay in the control described by semilinear abstract differential equations are considered. Using a generalized open mapping theorem, sufficient conditions for constrained exact local controllability are formulated and proved. It is generally assumed, that the values of admissible controls are in a convex and closed cone with vertex at zero. Constrained exact local relative controllability of semilinear abstract second-order dynamical systems are also formulated and proved. As an illustrative example, constrained exact local relative controllability problem for semilinear hyperbolic type distributed parameters dynamical system is solved in details.

AB - In the paper infinite-dimensional dynamical control systems wth constant point delay in the control described by semilinear abstract differential equations are considered. Using a generalized open mapping theorem, sufficient conditions for constrained exact local controllability are formulated and proved. It is generally assumed, that the values of admissible controls are in a convex and closed cone with vertex at zero. Constrained exact local relative controllability of semilinear abstract second-order dynamical systems are also formulated and proved. As an illustrative example, constrained exact local relative controllability problem for semilinear hyperbolic type distributed parameters dynamical system is solved in details.

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DO - 10.1109/cdc.2004.1430237

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Constrained exact controllability of semilinear systems with delay in control

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