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Controllability of linear systems in Banach spaces

โœ Scribed by Pengnian Chen; Huashu Qin

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
127 KB
Volume
45
Category
Article
ISSN
0167-6911

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โœฆ Synopsis

The problem of controllability of linear systems in Banach spaces is considered. First, some properties of dual semigroups with respect to Lebesgue measure is presented. Then, based on the properties, the criteria for controllability in re exive Banach spaces are extended to general Banach spaces and some new criteria for controllability are established. An example is presented to show that the scope of controllable systems can be enlarged if the non-traditional space of control functions is used.

๐Ÿ“œ SIMILAR VOLUMES

QH-controllability of semilinear systems
QH-controllability of semilinear systems in Banach spaces
โœ K. Balachandran; J.P. Dauer ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 234 KB

Sufficient conditions for a new type of controllability of semilinear systems in a Banach space are established. The results are obtained by using the Schauder fixed-point theorem. (~) 2001 Elsevier Science Ltd. All rights reserved.

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Sufficient conditions for controllability of functional semilinear integrodifferential systems in a Banach space are established. The results are obtained by using the Schaefer fixed-point theorem.

Controllability of Sobolev-Type Integrod
Controllability of Sobolev-Type Integrodifferential Systems in Banach Spaces
โœ K. Balachandran; J.P. Dauer ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 155 KB

Sufficient conditions for controllability of Sobolev-type integrodifferential systems in Banach spaces are established. The results are obtained using compact semigroups and the Schauder fixed-point theorem. As an example is provided to illustrate the results.

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Controllability of neutral functional integrodifferential systems in Banach spaces
โœ K. Balachandran; R. Sakthivel; J.P. Dauer ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 409 KB

Sufficient conditions for controllability of neutral functional integrodifferential systems in a Banach space are established. The results are obtained by using the Schaefer fixed-point theorem. An example is provided to illustrate the theory.

Local Controllability of Quasilinear Int
Local Controllability of Quasilinear Integrodifferential Evolution Systems in Banach Spaces
โœ K. Balachandran; J.Y. Park; E.R. Anandhi ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 95 KB

Sufficient conditions for local controllability of quasilinear integrodifferential systems in Banach spaces are established. The results are obtained by using the analytic semigroup theory and the Schauder fixed-point theorem. An example is provided to illustrate the theory.