Complete controllability of nonlinear stochastic impulsive functional systems

Applied Mathematics and Computation

Volumn 218, Issue 9, 2012, Pages 5543-5551

  Yang, Shujie ^a   Shi, Bao ^a   Zhang, Qiang ^a  

^a NAVAL AERONAUTICAL AND ASTRONAUTICAL UNIVERSITY   (China)

Author keywords

Completely continuous operators; Controllability; Fixed point; Stochastic impulsive functional systems

Indexed keywords

COMPLETELY CONTINUOUS OPERATOR; FIXED-POINT; FUNCTIONAL SYSTEMS; NUMERICAL EXAMPLE; SCHAUDER FIXED-POINT THEOREM; SUFFICIENT CONDITIONS; THEORETICAL RESULT;

STOCHASTIC SYSTEMS;

CONTROLLABILITY;

EID: 83555161703     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2011.11.043     Document Type: Article

References (28)

1. V. Lakshmikantham, D.D. Bainov, and P.S. Simeonov Theory of Impulsive Differential Equations 1989 World Scientific Singapore
2. D.D. Bainov, and P.S. Simeonov Systems with Impulsive Effect: Stability, Theory and Applications 1989 Ellis Horwood Chichester
3. ∞- control of uncertain impulsive systems with time-delay Automatica 45 2009 109 117
4. S.J. Yang, B. Shi, Q. Zhang, and T.T. Pan Robust exponential stabilization of uncertain impulsive bilinear time-delay systems with saturating actuators Journal of Control Science and Engineering 2010 1 6 10.1155/2010/106780 Article ID 106780
5. Z.G. Li, C.B. Soh, and X.H. Xu Stability of impulsive differential systems Journal of Mathematical Analysis and Applications 216 1997 644 655
6. Z.G. Li, C.B. Soh, and X.H. Xu Robust stability of a class of hybrid dynamic systems International Journal of Robust and Nonlinear Control 8 1998 1059 1072
7. Z.G. Li, C.Y. Wen, and Y.C. Soh Analysis and design of impulsive control systems IEEE Transactions on Automatic Control 46 2001 894 897
8. T. Yang Impulsive Systems and Control: Theory and Applications 2001 Nova Science New York
9. B. Autonio, and B. Alfonso Delay-dependent stability of reset systems Automatica 46 2010 216 221
10. X.L. Fu Controllability of neutral functional differential systems in abstract space Applied Mathematics and Computation 141 2003 281 296
11. O. Glass, and S. Guerrero Controllability of the Korteweg-de Vries equations from the right Dirichlet boundary condition Systems and Control Letters 59 2010 390 395
12. Z.H. Guan, T.H. Qian, and X.H. Yu On the controllability and observability for a class of impulsive systems Systems and Control Letters 47 2002 247 257
13. Y.K. Chang Controllability of impulsive functional differential systems with infinite delay in Banach spaces Chaos, Solitons and Fractals 33 2007 1601 1609
14. M.L. Li, M.S. Wang, and F.Q. Zhang Controllability of impulsive functional differential systems in Banach spaces Chaos, Solitons and Fractals 29 2006 175 181
15. B. Liu, and H.J. Marquez Controllability and observability for a class of controlled switching impulsive systems IEEE Transactions on Automatic Control 53 10 2008 2360 2366
16. R. Sakthivel, N.I. Mahmudov, and J.H. Kim On controllability of second order nonlinear impulsive differential systems Nonlinear Analysis 71 2009 45 52
17. M. Enrhardt, and W. Kliemann Controllability of stochastic linear systems Systems and Control Letters 2 1982 45 53
18. N.I. Mahmudov On controllability of linear stochastic systems IEEE Transactions on Automatic Control 46 2001 724 731
19. N.I. Mahmudov, and A. Denker On controllability of linear stochastic systems International Journal of Control 73 2000 144 151
20. J. Zabczyk Controllability of stochastic linear systems Systems and Control Letters 1 1987 25 31
21. N.I. Mahmudov Approximate controllability of semilinear deterministic and stochastic evolutions in abstract spaces SIAM Journal on Control and Optimization 42 5 2003 1604 1622
22. N.I. Mahmudov, and S. Zorlu Controllability of nonlinear stochastic systems International Journal of Control 76 2 2003 95 104
23. K. Balachandran, S. Karthikeyan, and J.H. Kim Controllability of semilinear stochastic intero-differential systems Kybernetika 43 1 2007 31 44
24. S. Karthikeyan, and K. Balachandran Controllability of nonlinear stochastic neutral impulsive systems Nonlinear Analysis: Hybrid Systems 3 2009 266 276
25. P. Zhao Practical stability, Controllability and optimal control of stochastic Markovian jump systems with time-delay Automatica 44 12 2008 3120 3125
26. L.J. Shen, J.P. Shi, and J.T. Sun Complete controllability of impulsive stochastic integro-differential systems Automatica 2010 10.1016/j.automatica. 2010.03.002
27. F.Y. Wei, and K. Wang The existence and uniqueness of the solution for stochastic functional differential equations with inifinite delay Journal of Mathematical Analysis and Application 331 2007 516 531
28. B. Shi, X.P. Wang, M.J. Gai, and D.C. Zhang Introduction to Functional Analysis with Applications 2006 National Defense Industry Press Beijing