Controllability of semilinear stochastic systems in Hilbert spaces
By Nazim Idrisoglu Mahmudov. 2003
105 citations recorded by the source corpus.
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.
Subfields: Applied Mathematics, Computational Theory and Mathematics, Control and Systems Engineering
View Paper: https://www.semanticscholar.org/paper/718afa1c734eb93b01b40dae19214c918031f46c
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In Applied Mathematics
- Jerzy Klamka
- Adam Czornik
- Nazim Idrisoglu Mahmudov
- Rathinasamy Sakthivel
- Tuncer Acar
- Krzysztof Rykaczewski
- V. Vijayakumar
- J. J. Nieto
In Computational Theory and Mathematics
In Control and Systems Engineering
- Jerzy Klamka
- Adam Czornik
- Nazim Idrisoglu Mahmudov
- Rathinasamy Sakthivel
- J. J. Nieto
- Krzysztof Rykaczewski
- V. Vijayakumar
- Jerald P. Dauer
Citations in the corpus
- Approximate Controllability of Semilinear Deterministic and Stochastic Evolution Equations in Abstract Spaces (2003, background): “0 ( α+ Γr )−1 S (T − r)σ (r, y (r) , v (r)) dw (r) , and φ (·) ∈ L2 ( I, L2 ) from the representation h = Eh + ∫ T 0 φ (s) dw (s) of h ∈ L2 (FT , X) ; see [24].”
- Stochastic controllability of linear systems with delay in control (2016, background): “This is a generalization to control delayed case some previous results concerning stochastic controllability of linear dynamical systems without delays in the control [12], [13], [37].”
- Stochastic controllability of systems with variable delay in control (2008, methodology): “This is a generalization to control delayed case some previous results concerning stochastic controllability of linear dynamical systems without delays in the control [4, 5, 17 ].”