COMPLETE CONTROLLABILITY OF STOCHASTIC EVOLUTION EQUATIONS WITH JUMPS

被引：43

作者：

Sakthivel, R. ^{[2
]}

Ren, Y. ^{[1
]}

机构：

[1] Anhui Normal Univ, Dept Math, Wuhu 241000, Peoples R China

[2] Sungkyunkwan Univ, Dept Math, Suwon 440746, South Korea

来源：

REPORTS ON MATHEMATICAL PHYSICS | 2011年 / 68卷 / 02期

基金：

中国国家自然科学基金;

关键词：

stochastic differential equations; complete controllability; mild solution; jump process; delay equations; APPROXIMATE CONTROLLABILITY; DIFFERENTIAL-EQUATIONS; CONSTRAINED CONTROLLABILITY; SEMILINEAR SYSTEMS; HILBERT-SPACES; LINEAR-SYSTEMS; BANACH-SPACES; DELAYS; STABILITY;

D O I：

10.1016/S0034-4877(12)60003-2

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页码：163 / 174

页数：12

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