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 Some Nonlinear Systems in Hilbert Spaces
β Scribed by J. P. Dauer; N. I. Mahmudov
- Publisher
- Springer
- Year
- 2004
- Tongue
- English
- Weight
- 87 KB
- Volume
- 123
- Category
- Article
- ISSN
- 0022-3239
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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.
Some results on the controllability of perturbed linear systems Β’,n HilDert spaces AL'rcdo GERMANI Salvatom MONACO ReveLry1 I I X "fie.~h lusd I J~y 19g ~ L l.tmducd~ This r~per ~:ais %xhh II1Β’ p~b]em of s'.ud)~ng the commllabillty o[ the :~je~torlΒ’~ for a cI~ of ~)v.lln~ D~|~ who~ state, input and