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Stochastic Controllability of Linear Systems With State Delays Cover
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Open Access
|Apr 2007

References

  1. Arapostathis A., George R.K., Ghosh M.K. (2001): On the controllability of a class of nonlinear stochastic systems. — Syst. Contr. Lett., Vol. 44, No. 1, pp. 25-34.10.1016/S0167-6911(01)00123-2
  2. Balasubramaniam P. and Dauer J.P. (2001): Controllability of semilinear stochastic evolution equations in Hilbert spaces. — J. Appl. Math. Stoch. Anal., Vol. 14, No. 4, pp. 329-339.10.1155/S1048953301000296
  3. Bashirov A.E., and Kerimov K.R. (1997): On controllability conception for stochastic systems. — SIAM J. Contr. Optim, Vol. 35, No. 2, pp. 348-398.10.1137/S0363012994260970
  4. Bashirov A.E. and Mahmudov N.I. (1999): On concepts of controllability for deterministic and stochastic systems. — SIAM J. Contr. Optim., Vol. 37, No. 6, pp. 1808-1821.10.1137/S036301299732184X
  5. Ehrhard M. and Kliemann W. (1982): Controllability of stochastic linear systems. — Syst. Contr. Lett., Vol. 2, No. 2, pp. 145-153.10.1016/0167-6911(82)90012-3
  6. Fernandez-Cara E., Garrido-Atienza M.J. and Real J. (1999): On the approximate controllability of a stochastic parabolic equation with multiplicative noise. — C.R. Acad. Sci. Paris, t. 328, Sèrie 1, pp. 675-680.10.1016/S0764-4442(99)80233-X
  7. Kim Jong Uhn (2004): Approximate controllability of a stochastic wave equation. — Appl. Math. Optim., Vol. 49, No. 1, pp. 81-98.
  8. Klamka J. (1991): Controllability of Dynamical Systems. — Dordrecht: Kluwer Academic.
  9. Klamka J. (1993): Controllability of dynamical systems—A survey. — Arch. Contr. Sci., Vol. 2, No. 3/4, pp. 281-307.
  10. Klamka J. (1996): Constrained controllability of nonlinear systems. — J. Math. Anal. Applic., Vol. 201, No. 2, pp. 365-374.10.1006/jmaa.1996.0260
  11. Klamka J. (2000): Schauder's fixed point theorem in nonlinear controllability problems. — Contr. Cybern., Vol. 29, No. 3, pp. 377-393.
  12. Klamka J. and Socha L. (1977): Some remarks about stochastic controllability. — IEEE Trans. Automat. Contr., Vol. AC-22, No. 5, pp. 880-881.10.1109/TAC.1977.1101615
  13. Klamka J. and Socha L. (1980): Some remarks about stochastic controllability for delayed linear systems. — Int. J. Contr., Vol. 32, No. 3, pp. 561-566.10.1080/00207178008922872
  14. Mahmudov N.I. (2001): Controllability of linear stochastic systems. — IEEE Trans. Automat. Contr., Vol. AC-46, No. 4, pp. 724-731.10.1109/9.920790
  15. Mahmudov N.I. (2001): Controllability of linear stochastic systems in Hilbert spaces. — J. Math. Anal. Applic., Vol. 259, No. 1, pp. 64-82.10.1006/jmaa.2000.7386
  16. Mahmudov N.I. (2002): On controllability of semilinear stochastic systems in Hilbert spaces. — IMA J. Mathemat. Contr. Inf., Vol. 19, No. 2, pp. 363-376.10.1093/imamci/19.4.363
  17. Mahmudov N.I. (2003): Controllability and observability of linear stochastic systems in Hilbert spaces. — Progress in Probability, Vol. 53, No. 1, pp. 151-167.10.1007/978-3-0348-8020-6_7
  18. Mahmudov N.I. (2003): Approximate controllability of semilinear deterministic and stochastic evolution equations in abstract spaces. — SIAM J. Contr. Optim. Vol. 42, No. 5, pp. 1604-1622.10.1137/S0363012901391688
  19. Mahmudov N.I. and Denker A. (2000): On controllability of linear stochastic systems. — Int. J. Contr., Vol. 73, No. 2, pp. 144-151.10.1080/002071700219849
  20. Mahmudov N.I. and Zorlu S. (2003): Controllability of nonlinear stochastic systems. — Int. J. Contr., Vol. 76, No. 2, pp. 95-104.10.1080/0020717031000065648
  21. Subramaniam R. and Balachandran K. (2002): Controllability of stochastic Volterra integrodifferential systems. — Korean J. Comput. Appl. Math., Vol. 9, No. 2, pp. 583-589.10.1007/BF03021564
  22. Sunahara Y., Kabeuchi T., Asada S., Aihara S. and Kishino K. (1974): On stochastic controllability for nonlinear systems. — IEEE Trans. Automat. Contr., Vol. AC-19, No. 1, pp. 49-54.10.1109/TAC.1974.1100464
  23. Sunahara Y., Aihara S. and Kishino K. (1975): On the stochastic observability and controllability for nonlinear systems. — Int. J. Contr., Vol. 22, No. 1, pp. 65-82.
  24. Zabczyk J. (1991): Controllability of stochastic linear systems. — Syst. Contr. Lett., Vol. 1, No. 1, pp. 25-31.
DOI: https://doi.org/10.2478/v10006-007-0001-8 | Journal eISSN: 2083-8492 | Journal ISSN: 1641-876X
Language: English
Page range: 5 - 13
Published on: Apr 5, 2007
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2007 Jerzy Klamka, published by University of Zielona Góra
This work is licensed under the Creative Commons License.

Volume 17 (2007): Issue 1 (March 2007)