Abstract
In this paper, the approximate controllability of an abstract model of stochastic semilinear reaction diffusion equation in Hilbert spaces is considered. The existence and uniqueness of mild solutions of stochastic semilinear reaction diffusion equation is established by using contraction mapping principle and then a new set of sufficient conditions are formulated which guarantees the approximate controllability of main problem. Finally, the results are applied to stochastic Ornstein–Uhlenbeck equation.
Original language | English |
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Pages (from-to) | 653-660 |
Number of pages | 8 |
Journal | International Journal of Dynamics and Control |
Volume | 5 |
Issue number | 3 |
DOIs | |
Publication status | Published - Sept 1 2017 |
Keywords
- Approximate controllability
- Contraction mapping principle
- Hilbert space
- Semigroup theory
- Stochastic semilinear reaction diffusion systems
ASJC Scopus subject areas
- Control and Systems Engineering
- Civil and Structural Engineering
- Modelling and Simulation
- Mechanical Engineering
- Control and Optimization
- Electrical and Electronic Engineering