Approximate controllability of impulsive semilinear stochastic system with delay in state

被引：9

作者：

Arora, Urvashi ^{[1
]}

Sukavanam, N. ^{[1
]}

机构：

[1] Indian Inst Technol Roorkee, Dept Math, Roorkee 247667, Uttarakhand, India

来源：

STOCHASTIC ANALYSIS AND APPLICATIONS | 2016年 / 34卷 / 06期

关键词：

Approximate controllability; semilinear systems; impulsive stochastic system; state delay; HILBERT-SPACES; EQUATIONS;

D O I：

10.1080/07362994.2016.1207547

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Many practical systems in physical and biological sciences have impulsive dynamical behaviors during the evolution process that can be modeled by impulsive differential equations. This article studies the approximate controllability of impulsive semilinear stochastic system with delay in state in Hilbert spaces. Assuming the conditions for the approximate controllability of the corresponding deterministic linear system, we obtain the sufficient conditions for the approximate controllability of the impulsive semilinear stochastic system with delay in state. The results are obtained by using Banach fixed point theorem. Finally, two examples are given to illustrate the developed theory.

引用

页码：1111 / 1123

页数：13

共 22 条

[1] [Anonymous], 1995, World Sci. Ser. Nonlinear Sci., Ser. A., DOI DOI 10.1142/2892
[2] Barnett S., 1975, INTRO MATH CONTROL T
[3] On concepts of controllability for deterministic and stochastic systems
Bashirov, AE
Mahmudov, NI
[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1999, 37 (06) : 1808 - 1821
[4] On controllability conception for stochastic systems
Bashirov, AE
Kerimov, KR
[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1997, 35 (02) : 384 - 398
[5] Curtain RF., 2012, INTRO INFINITE DIMEN
[6] Approximate controllability of semilinear functional equations in Hilbert spaces
Dauer, JP
Mahmudov, NI
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 273 (02) : 310 - 327
[7] Kalman R. E., 1963, Contributions to Differential Equations, V1, P190
[8] Klamka J, 2007, B POL ACAD SCI-TECH, V55, P23
[9] SOME REMARKS ABOUT STOCHASTIC CONTROLLABILITY
KLAMKA, J
SOCHA, L
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1977, 22 (05) : 880 - 881
[10] Stability of impulsive stochastic differential delay systems and its application to impulsive stochastic neural networks
Li, Chunxiang
Shi, Junping
Sun, Jitao
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (10) : 3099 - 3111

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