The classical theory of controllability for deterministic systems is extended to linear stochastic systems defined on infinite-dimensional Hilbert spaces. Three types of stochastic controllability are studied: approximate, complete, and S-controllability. Tests for complete, approximate, and S-contr
Controllability of semilinear stochastic systems in Hilbert spaces
β Scribed by Nazim I. Mahmudov
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 212 KB
- Volume
- 288
- Category
- Article
- ISSN
- 0022-247X
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β¦ Synopsis
We study the weak approximate and complete controllability properties of semilinear stochastic systems assuming controllability of the associated linear systems. The results are obtained by using the Banach fixed point theorem. Applications to stochastic heat equation are given.
π SIMILAR VOLUMES
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.
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.