Object
Title: Constrained controllability of retarded dynamical systems
Contributor:
Owens, David H. - ed. ; Skoczowski, Stanisław - ed.
Subtitle:
Group publication title:
Abstract:
Recent years have witnessed a good deal of research focused on abstract control dynamical systems defined in infinite-dimensional linear spaces. The main purpose of the present paper is to study the concept of constrained approximate relative and approximate absolute controllability for linear stationary abstract retarded dynamical systems defined in infinite-dimensional Hilbert spaces. ; First, using the methods of functional analysis, the brief and compact theory of such dynamical systems is recalled and the general integral form of solution is presented. It is generally assumed that the admissible controls are non-negative square integrable functions. Using the methods taken from the spectral theory of linear unbounded operators, the necessary and sufficient conditions for constrained approximate relative controllability are formulated and proved. ; These conditions are a generalization for infinite-dimensional retarded dynamical systems of the results derived recently for finite-dimensional dynamical systems with delays. Moreover, some additional remarks and comments on the relationships between different concepts of controllability are given. Finally, as simple illustrative examples, the necessary and sufficient conditions for constrained approximate relative controllability with non-negative controls for retarded distributed parameter parabolic-type dynamical systems with one constant delay and with homogeneous Dirichlet boundary conditions are presented.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Resource Identifier:
Pages:
Source:
AMCS, volume 5, number 3 (1995) ; click here to follow the link
Language:
Rights:
Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Digital Library of Zielona Góra > Repository > Faculties > Faculty of Computer, Electrical and Control Engineering
- Digital Library of Zielona Góra > Repository > Types of work > Articles
- Digital Library of Zielona Góra > Repository > Scientific journals and UZ publishing series > International Journal of Applied Mathematics and Computer Science (AMCS)
- Digital Library of Zielona Góra > Repository > Scientific journals and UZ publishing series > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (1995)
Last modified:
Oct 18, 2022
In our library since:
Sep 21, 2020
Number of object content hits:
70
All available object's versions:
https://zbc.uz.zgora.pl/publication/64268
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International Journal of Applied Mathematics and Computer Science (AMCS)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 26 (2016)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 25 (2015)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 24 (2014)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 23 (2013)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 22 (2012)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 21 (2011)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 20 (2010)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 19 (2009)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 18 (2008)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 17 (2007)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 16 (2006)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 15 (2005)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 13 (2003)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 12 (2002)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 11 (2001)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 10 (2000)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 9 (1999)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 8 (1998)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 7 (1997)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 6 (1996)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 5 (1995)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 5, number 1 (1995)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 5, number 2 (1995)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 5, number 3 (1995)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 5, number 4 (1995)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 5, number 1 (1995)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 4 (1994)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 3 (1993)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 2 (1992)
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International Journal of Applied Mathematics and Computer Science (AMCS),volume 1 (1991)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 26 (2016)
| Edition name | Date |
|---|---|
| Constrained controllability of retarded dynamical systems | Oct 18, 2022 |
