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Controllability for Semilinear Retarded Control Systems in Hilbert Spaces

โœ 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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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.

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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