Controllability for Semilinear Retarded Control Systems in Hilbert Spaces
โ Scribed by Jin-Mun Jeong; Jin-Ran Kim; Hyun-Hee Roh
- Publisher
- Springer
- Year
- 2007
- Tongue
- English
- Weight
- 200 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0925-4668
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๐ SIMILAR VOLUMES
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.
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.
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