Null Controllability for Stochastic Semidiscrete Parabolic Equations
Copyright policy )Null Controllability for Stochastic Semidiscrete Parabolic Equations
In this paper, we present a null controllability result for a class of stochastic semi-discrete parabolic equations. For this purpose, an observability estimate is established for backward stochastic semi-discrete parabolic equations, with an explicit observability constant that depends on the discretization parameter. This estimate is obtained by a new Carleman estimate for backward stochastic semi-discrete parabolic operators.
22 pages
- Sichuan Normal University China (People's Republic of)
Controllability, Observability, Control/observation systems governed by partial differential equations, observability, global Carleman estimate, stochastic semidiscrete parabolic equations, Optimization and Control (math.OC), FOS: Mathematics, PDEs with randomness, stochastic partial differential equations, Stochastic systems in control theory (general), controllability, Mathematics - Optimization and Control
Controllability, Observability, Control/observation systems governed by partial differential equations, observability, global Carleman estimate, stochastic semidiscrete parabolic equations, Optimization and Control (math.OC), FOS: Mathematics, PDEs with randomness, stochastic partial differential equations, Stochastic systems in control theory (general), controllability, Mathematics - Optimization and Control
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