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
Exact controllability and complete stabilizability for linear systems in Hilbert spaces
โ Scribed by R. Rabah; J. Karrakchou
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 286 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0893-9659
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โฆ Synopsis
A criterion of exact controllability using the resolvent of the state space operator is given for linear control system in Hilbert space. Only surjectivity of the semigroup operators is assumed. This condition is necessary for exact controllability, so the criterion is quite general. Relations between exact controllability and complete stabilizability are specified.
๐ SIMILAR VOLUMES
This paper deals with the problem of the functional output e-controllability of a linear system whose state space is a real separable Hilbert space. In particular a condition which assures such a property is found.