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Zbl 1244.93028
Sakthivel, R.; Ren, Y.
Complete controllability of stochastic evolution equations with jumps. (English)
[J] Rep. Math. Phys. 68, No. 2, 163-174 (2011). ISSN 0034-4877

Summary: The objective of this paper is to investigate the complete controllability property of a nonlinear stochastic control system with jumps in a separable Hilbert space. By employing a fixed-point approach without imposing severe compactness condition on the semigroup, a new set of sufficient conditions are derived for achieving the required result. In particular, we discuss the complete controllability of nonlinear control system under the assumption that the corresponding linear system is completely controllable. Finally, an example is provided to illustrate the effectiveness of the obtained result.

MSC 2000:: *93B05 Controllability
60H15 Stochastic partial differential equations
60J75 Jump processes
93E03 General theory of stochastic systems
93C25 Control systems in abstract spaces

Keywords: stochastic differential equations; complete controllability; mild solution; jump process; delay equations

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