On controllability for a class of stochastic impulsive systems with delays in control

References

• Artstein , Z and Tadmor , G . 1982 . Linear Systems with Indirect Controls: The Underlying Measures . SIAM Journal of Control Optimization , 20 : 96 – 111 .
   Web of Science ®Google Scholar
• Balachandran , K and Dauer , JP . 1987 . Controllability of Nonlinear Systems via Fixed Point Theorems . Journal of Optimization and Theory Applications , 53 : 345 – 352 .
   Web of Science ®Google Scholar
• Balachandran , K and Karthikeyan , S . 2007 . Controllability of Stochastic Integrodifferential Systems . International Journal of Control , 80 : 486 – 491 .
   Web of Science ®Google Scholar
• Balachandran , K and Karthikeyan , S . 2008 . Controllability of Nonlinear Itô Type Stochastic Integrodifferential Systems . Journal of Franklin Institute , 345 : 382 – 391 .
   Web of Science ®Google Scholar
• Balachandran , K and Karthikeyan , S . 2010 . Controllability of Stochastic Systems with Prescribed Controls . IMA International Journal of Mathematical Control and Information , 27 : 77 – 89 .
   Web of Science ®Google Scholar
• Balachandran , K , Karthikeyan , S and Park , JY . 2009 . Controllability of Stochastic Systems with Distributed Delays in Control . International Journal of Control , 82 : 1288 – 1296 .
   Web of Science ®Google Scholar
• Balachandran , K and Somasundaram , D . 1984 . Controllability of Nonlinear Systems Consisting of a Bilinear Mode with Distributed Delays in Control . IEEE Transactions on Automatic Control , AC-29 : 573 – 575 .
   Web of Science ®Google Scholar
• Benzaid , Z and Sznaier , M . 1994 . Constrained Controllability of Linear Impulse Differential Systems . IEEE Transactions on Automatic Control , 39 : 1064 – 1066 .
   Web of Science ®Google Scholar
• Cameron , RH and Martin , WT . 1941 . An Unsymmetric Fubini Theorem . B. American Mathematical Society , 47 : 121 – 125 .
   Google Scholar
• Enrhardt , M and Kliemann , W . 1982 . Controllability of Stochastic Linear Systems . Systems and Control Letters , 2 : 145 – 153 .
   Web of Science ®Google Scholar
• Gelig , AK and Churilov , AN . 1998 . Stability and Oscillations of Nonlinear Pulse-modulated Systems , Boston : Birkhauser .
   Google Scholar
• George , RK , Nandakumaran , AK and Arapostathis , A . 2000 . A Note on Controllability of Impulsive Systems . Journal of Mathematical Analysis and Applications , 241 : 276 – 283 .
   Web of Science ®Google Scholar
• Grimmer , RC . 1982 . Resolvent Operators for Integral Equations in a Banach Space . Transactions of the American Mathematical Society , 273 : 333 – 349 .
   Web of Science ®Google Scholar
• Hernandez , E and O'Regan , D . 2009 . Controllability of Volterra–Fredholm Type Systems in Banach Spaces . Journal of Franklin Institute , 346 : 95 – 101 .
   Web of Science ®Google Scholar
• Karthikeyan , S and Balachandran , K . 2009 . Controllability of Nonlinear Stochastic Neutral Impulsive Systems . Nonlinear Analysis of Hybrid Systems , 3 : 266 – 276 .
   Web of Science ®Google Scholar
• Klamka , J . 2000 . Schauder's Fixed Point Theorem in Nonlinear Controllability Problems . Control and Cybernetenics , 29 : 153 – 165 .
   Web of Science ®Google Scholar
• Klamka , J . 2007a . Stochastic Controllability of Linear Systems with State Delays . International Journal of Applied Mathematics and Computer Science , 17 : 5 – 13 .
   Web of Science ®Google Scholar
• Klamka , J . 2007b . Stochastic Controllability of Linear Systems with Delay in Control . Bulletin of the Polish Academy of Sciences. Technical Sciences , 55 : 23 – 29 .
   Web of Science ®Google Scholar
• Klamka , J . 2008a . Stochastic Controllability of Systems with Variable Delay in Control . Bulletin of the Polish Academy of Sciences. Technical Sciences , 56 : 279 – 284 .
   Web of Science ®Google Scholar
• Klamka , J . 2008b . Stochastic Controllability and Minimum Energy Control of Systems with Multiple Delays in Control . Applied Mathematics and Computation , 206 : 704 – 715 .
   Web of Science ®Google Scholar
• Klamka , J and Socha , L . 1980 . Some Remarks About Stochastic Controllability for Delayed Linear Systems . International Journal of Control , 32 : 561 – 566 .
   Web of Science ®Google Scholar
• Lakshmikantham , V , Bainiv , D and Simeonov , P . 1989 . Theory of Impulsive Differential Equations , Singapore : World Scientific .
   Google Scholar
• Lakshmikantham , V and Deo , SG . 1998 . Method of Variation of Parameters for Dynamic Systems , Amsterdam : Gordon and Breach Science Publication .
   Google Scholar
• Leela , S , McRae , FA and Sivasundaram , S . 1993 . Controllability of Impulsive Differential Equations . Journal of Mathematical Analysis and Applications , 177 : 24 – 30 .
   Web of Science ®Google Scholar
• Li , Z and Soh , CB . 1999 . Robust Controllability and Observability of Impulsive Interval Hybrid Dynamic Systems . International Journal of Systems Science , 30 : 1109 – 1122 .
   Web of Science ®Google Scholar
• Liu , XZ and Willms , AR . 1996 . Impulsive Controllability of Linear Dynamical Systems with Applications to Maneuvers of Spacecraft . Mathematical Problems in Engineering , 2 : 277 – 299 .
   Web of Science ®Google Scholar
• Mahmudov , NI . 2001 . Controllability of Linear Stochastic Systems . IEEE Transactions on Automatic Control , 46 : 724 – 731 .
   Web of Science ®Google Scholar
• Mahmudov , NI and Denker , A . 2000 . On Controllability of Linear Stochastic Systems . International Journal of Control , 73 : 144 – 151 .
   Web of Science ®Google Scholar
• Mahmudov , NI and Zorlu , S . 2003 . Controllability of Nonlinear Stochastic Systems . International Journal of Control , 76 : 95 – 104 .
   Web of Science ®Google Scholar
• Mahmudov , NI and Zorlu , S . 2005 . Controllability of Semilinear Stochastic Systems . International Journal of Control , 78 : 997 – 1004 .
   Web of Science ®Google Scholar
• Sakthivel , R . 2009a . Approximate Controllability of Impulsive Stochastic Evolution Equations . Funkcialaj Ekvacioj , 52 : 381 – 393 .
   Web of Science ®Google Scholar
• Sakthivel , R . 2009b . Controllability of Nonlinear Impulsive Ito Type Stochastic Systems . International Journal of Applied Mathematics and Computer Science , 9 : 589 – 595 .
   Web of Science ®Google Scholar
• Sakthivel , R , Mahmudov , NI and Lee , SG . 2009c . Controllability of Nonlinear Impulsive Stochastic Systems . International Journal of Control , 82 : 801 – 807 .
   Web of Science ®Google Scholar
• Shena , L , Shi , J and Sun , J . 2010 . Complete Controllability of Impulsive Stochastic Integro-differential Systems . Automatica , 46 : 1068 – 1073 .
   Web of Science ®Google Scholar
• Sivasundaram , S and Uvah , J . 2008 . Controllability of Impulsive Hybrid Integro-differential Systems . Nonlinear Analysis of Hybrid Systems , 2 : 1003 – 1009 .
   Web of Science ®Google Scholar
• Virvalo , T and Puusaari , P . 1991 . The Distributed Control Systems – A World of New Possibilities . Mechatronics , 1 : 535 – 545 .
   Google Scholar
• Yang , T and Chua , LO . 1997 . Impulsive Stabilisation for Control and Synchronization of Chaotic Systems: Theory and Application to Secure Communication . IEEE Transactions on Circuits and Systems , 44 : 976 – 988 .
   Google Scholar
• Yang , Z , Xu , D and Xiang , L . 2006 . Exponential p-stability of Impulsive Stochastic Differential Equations with Delays . Physics Letters A , 359 : 129 – 137 .
   Web of Science ®Google Scholar
• Yang , J , Zhong , S and Luo , W . 2008 . Mean Square Stability Analysis of Impulsive Stochastic Differential Equations with Delays . Journal of Computational and Applied Mathematics , 216 : 474 – 483 .
   Web of Science ®Google Scholar
• Yu , J , Zhang , K , Fei , S and Jiang , H . 2010 . Robust Fuzzy Control of Nonlinear Stochastic Delay Systems with Impulsive Effects . International Journal of Systems Science , 41 : 1163 – 1172 .
   Web of Science ®Google Scholar
• Zabczyk , J . 1981 . Controllability of Stochastic Linear Systems . Systems and Control Letters , 1 : 25 – 31 .
   Web of Science ®Google Scholar
• Zhao , S and Sun , J . 2009 . Controllability and Observability for a Class of Time-varying Impulsive Systems . Nonlinear Analysis of Real World Applications , 10 : 1370 – 1380 .
   Web of Science ®Google Scholar