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Original Articles

Partial controllability of stochastic linear systems

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Pages 2564-2572 | Received 13 Jul 2010, Accepted 13 Oct 2010, Published online: 13 Dec 2010

References

  • Balasubramaniam , P and Dauer , JP . 2001 . Controllability of Semilinear Stochastic Evolution Equations in Hilbert Spaces . Journal of Applied Mathematics and Stochastic Analysis , 4 : 329 – 339 .
  • Bashirov , AE . 1993 . Partilly Observable Linear Systems Under Dependent Noises; Systems & Control: Foundations & Applications , Birkhäuser : Basel .
  • Bashirov , AE . 2005 . Filtering for Linear Systems with Shifted Noises . International Journal of Control , 78 : 521 – 529 .
  • Bashirov , AE and Kerimov , KR . 1997 . On Controllability Conception for Stochastic Systems . SIAM Journal on Control and Optimization , 35 : 384 – 398 .
  • Bashirov , AE and Mahmudov , NI . 1999 . On Concepts of Controllability for Deterministic and Stochastic Systems . SIAM Journal on Control and Optimization , 37 : 1808 – 1821 .
  • Bashirov , AE , Mahmudov , NI , Şemi , N and Etikan , H . 2007 . Partial Controllability Concepts . International Journal of Control , 80 : 1 – 7 .
  • Bensoussan , A . 1992 . Stochastic Control of Partially Observable Systems , London : Cambridge University Press .
  • Bensoussan , A , Da Prato , G , Delfour , MC and Mitter , SK . 1993 . Representation and Control of Infinite Dimensional Systems (Vol. 2), Systems and Control: Foundations and Applications , Boston : Birkhäuser .
  • Curtain , RF and Pritchard , AJ . 1978 . Infinite Dimensional Linear Systems Theory, Lecture Notes in Control and Information Sciences , Vol. 8 , Berlin : Springer-Verlag .
  • Curtain , RF and Zwart , HJ . 1995 . An Introduction to Infinite Dimensional Linear Systems Theory , Berlin : Springer-Verlag .
  • Dubov , MA and Mordukhovich , BS . 1978 . Theory of Controllability of Linear Stochastic Systems . Differential Equations , 14 : 1609 – 1612 .
  • Ehrhard , M and Kliemann , W . 1982 . Controllability of Stochastic Linear Systems . Systems and Control Letters , 2 : 145 – 153 .
  • Fattorini , HO . 1967 . Some Remarks on Complete Controllability . SIAM Journal of Control , 4 : 686 – 694 .
  • Fernández-Cara , E , Garrido-Atienza , MJ and Real , J . 1999 . On the Approximate Controllability of a Stochastic Parabolic Equation with Multiplicative Noise . Comptes Rendus de l'Académie dis Sciences, Paris, Serie I – Mathematics , 328 : 675 – 680 .
  • Fleming , WH and Rishel , RW . 1975 . Deterministic and Stochastic Optimal Control , New York : Springer-Verlag .
  • Kalman , RE . 1960 . A New Approach to Linear Filtering and Prediction Problems . Transactions of ASME, Series D, Journal of Basic Engineering , 82 : 35 – 45 .
  • Klamka , J . 1991 . Controllability of Dynamical Systems , Dordrecht : Kluwer Academic .
  • Klamka , J and Socha , L . 1977 . Some Remarks About Stochastic Controllability . IEEE Transactions on Automatic Control , AC-22 : 880 – 881 .
  • Mahmudov , NI and Denker , A . 2000 . On Controllability of Linear Stochastic Systems . International Journal of Control , 73 : 144 – 151 .
  • Mahmudov , NI and Zorlu , S . 2005 . Controllability of Semilinear Stochastic Systems . International Journal of Control , 78 : 997 – 1004 .
  • Russel , DL . 1967 . Nonharmonic Fourier Series in the Control Theory of Distributed Parameter Systems . Journal of Mathematical Analysis and Applications , 18 : 542 – 560 .
  • Subramaniam , R and Balachandran , K . 2002 . Controllability of Stochastic Volterra Integrodifferential Systems . Korean Journal of Computational and Applied Mathematics , 9 : 583 – 589 .
  • Sunahara , Y , Kabeuchi , T , Asada , S , Aihara , S and Kishino , K . 1974 . On Stochastic Controllability for Nonlinear Systems . IEEE Transactions on Automatic Control , AC-19 : 49 – 54 .
  • Uhn , KJ . 2004 . Approximate Controllability of a Stochastic Wave Equation . Applied Mathematics and Optimization , 49 : 81 – 98 .
  • Zabczyk , J . 1991 . Controllability of Stochastic Linear Systems . Systems and Control Letters , 1 : 25 – 31 .
  • Zabczyk , J . 1995 . Mathematical Control Theory: an Introduction; Systems and Control: Foundations & Applications , Berlin : Birkhäuser .

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