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International Journal of Control Volume 76, 2003 - Issue 2
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Original Articles

Controllability of non-linear stochastic systems

N. I. Mahmudov Department of Mathematics, Eastern Mediterranean University, Gazi Magusa, Mersin 10, Turkey
&
S. Zorlu Department of Mathematics, Eastern Mediterranean University, Gazi Magusa, Mersin 10, Turkey
Pages 95-104 | Published online: 08 Nov 2010

  • ALEKSEEV , V. M. , TIKHOMIROV , V. M. and FOMIN , S. V. 1979 . Optimal Control (in Russian)
  • BALACHANDRAN , K. and DAUER , J. P. 1987 . Controllability of nonlinear systems via fixed-point theorems . Journal of Optimization Theory and Applications , 53 : 345 – 352 .
  • CHUKWU , E. N. and LENHART , S. M. 1991 . Controllability questions for nonlinear systems in Abstract spaces . Journal of Optimization Theory and Applications , 68 : 437 – 462 .
  • DAUER , J. P. and BALACHANDRAN , K. 1997 . Sample controllability of general nonlinear stochastic systems . Liberias Mathematica , 17 : 143 – 153 .
  • Do , V. N. 1990 . Controllability of semilinear systems . Journal of Mathematical Analysis and Applications , 65 : 41 – 52 .
  • DUBOV , M. A. and MORDUKHOVICH , B. S. 1978 . Theory of controllability of linear stochastic systems . Differential Equations , 14 : 1609 – 1612 .
  • ENRHARDT , M. and KLIEMANN , W. 1982 . Controllability of stochastic linear systems . Systems and Control Letters , 2 : 145 – 153 .
  • KLAMKA , J. 2000 . Schauder's fixed point theorem in nonlinear controllability problems . Control Cybernet , 29 : 1377 – 1393 .
  • KLAMKA , J. and SOCHA , L. 1977 . Some remarks about stochastic controllability . IEEE Transactions on Automatic Control , 22 : 880 – 881 .
  • KLAMKA , J. and SOCHA , L. 1980 . Some remarks about stochastic controllability for delayed linear systems . International Journal of Control , 32 : 561 – 566 .
  • LIPSTER , R. S. and SHIRYAEV , A. N. 1977 . Statistics of Random Processes , New York : Springer-Verlag .
  • MAHMUDOV , N. I. 2001a . Controllability of linear stochastic systems . IEEE Transactions on Automatic Control , 46 : 99 – 146 .
  • MAHMUDOV , N. I. and DENKER , A. 2000 . On controllability of linear stochastic systems . International journal of Control , 73 : 144 – 151 .
  • MAHMUDOV , N. I. 2001b . Controllability of linear stochastic systems in Hubert spaces . Journal of Mathematical Analysis and Applications , 259 : 64 – 82 .
  • MIRZA , K. B. and WOMACK , B. 1971 . On the controllability of a class of nonlinear systems . IEEE Transactions on Automatic Control , 16 : 531 – 535 .
  • SUNAHARA , Y. , KABEUCHI , T. , ASADA , S. and KISHINO , K. 1974 . On stochastic controllability for nonlinear systems . IEEE Transactions on Automatic Control , 19 : 49 – 54 .
  • YAMAMOTO , Y. 1977 . Controllability of nonlinear systems . Journal of Optimization Theory and Applications , 22 : 41 – 49 .
  • ZABCZYK , J. 1981 . Controllability of stochastic linear system . Systems and Control Letters , 1 : 25 – 31 .
  • ZABCZYK , J. 1992 . Mathematical Control Theory , Boston, MA : Birkhäuser .

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