Approximate controllability of semilinear stochastic system with multiple delays in control. (English) Zbl 1438.93014
Summary: The paper deals with the approximate controllability of a semilinear stochastic system with multiple delays in control in infinite dimensional spaces. Sufficient conditions for the approximate controllability of the semilinear control system have been established. The results are obtained using the Banach fixed-point theorem. An example is introduced to show the effectiveness of the result.
MSC:
| 93B05 | Controllability |
| 93E03 | Stochastic systems in control theory (general) |
| 93C10 | Nonlinear systems in control theory |
| 93C43 | Delay control/observation systems |
Keywords:
approximate controllability; semilinear systems; stochastic control system; delayed control; multiple delaysReferences:
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