Skip to main content
Have a personal or library account? Click to login
Controllability of nonlinear stochastic systems with multiple time-varying delays in control Cover

Controllability of nonlinear stochastic systems with multiple time-varying delays in control

Open Access
|Jun 2015

References

  1. Balachandran, K. (1987). Global relative controllability of nonlinear systems with time-varying multiple delays in control, International Journal of Control 46(1): 193-200.
  2. Balachandran, K. and Dauer, J.P. (1996). Null controllability of nonlinear infinite delay systems with time varying multiple delays in control, Applied Mathematics Letters 9(3): 115-121.
  3. Balachandran, K., and Karthikeyan, S. (2009). Controllability of stochastic systems with distributed delays in control, International Journal of Control 82(7): 1288-1296.
  4. Balachandran, K., Kokila, J. and Trujillo, J.J. (2012). Relative controllability of fractional dynamical systems with multiple delays in control, Computers & Mathematics with Applications 64(10): 3037-3045.
  5. Basin, M., Rodriguez-Gonzaleza, J. and Martinez-Zunigab, M. (2004). Optimal control for linear systems with time delay in control input, Journal of the Franklin Institute 341(1): 267-278.
  6. Dauer, J.P., Balachandran, K. and Anthoni, S.M. (1998). Null controllability of nonlinear infinite neutral systems with delays in control, Computers & Mathematics with Applications 36(1): 39-50.
  7. Enrhardt, M. and W. Kliemann, W. (1982). Controllability of stochastic linear systems, Systems and Control Letters 2(3): 145-153.
  8. Gu, K. and Niculescu, S.I. (2003). Survey on recent results in the stability and control of time-delay systems, ASME Transactions: Journal of Dynamic Systems, Measurement, and Control 125(2): 158-165.
  9. Guendouzi, T. and Hamada, I. (2013). Relative controllability of fractional stochastic dynamical systems with multiple delays in control, Malaya Journal of Matematik 1(1): 86-97.
  10. Guendouzi, T. and Hamada, I. (2014). Global relative controllability of fractional stochastic dynamical systems with distributed delays in control, Sociedade Paranaense de Matematica Boletin 32(2): 55-71.
  11. Karthikeyan, S. and Balachandran, K. (2013). On controllability for a class of stochastic impulsive systems with delays in control, International Journal of Systems Science 44(1): 67-76.
  12. Klamka, J. (1976). Controllability of linear systems with time-variable delays in control, International Journal of Control 24(2): 869-878.
  13. Klamka, J. (1978). Relative controllability of nonlinear systems with distributed delays in control, International Journal of Control 28(2): 307-312.
  14. Klamka, J. (1980). Controllability of nonlinear systems with distributed delay in control, International Journal of Control 31(1): 811-819.
  15. Klamka, J. (1991). Controllability of Dynamical Systems, Kluwer Academic Publishers, Dordrecht.
  16. Klamka, J. (2000). Schauder’s fixed point theorem in nonlinear controllability problems, Control and Cybernetics 29(2): 153-165.
  17. Klamka, J. (2007a). Stochastic controllability of linear systems with delay in control, Bulletin of the Polish Academy of Sciences: Technical Sciences 55(1): 23-29.
  18. Klamka, J. (2007b). Stochastic controllability of linear systems with state delays, International Journal of Applied Mathematics and Computer Science 17(1): 5-13, DOI: 10.2478/v10006-007-0001-8.
  19. Klamka, J. (2008a). Stochastic controllability of systems with variable delay in control, Bulletin of the Polish Academy of Sciences: Technical Sciences 56(3): 279-284.
  20. Klamka, J. (2008b). Stochastic controllability and minimum energy control of systems with multiple delays in control, Applied Mathematics and Computation 206(2): 704-715.
  21. Klamka, J. (2009). Constrained controllability of semilinear systems with delays, Nonlinear Dynamics 56(4): 169-177.
  22. Klamka, J. (2013), Controllability of dynamical systems. A survey, Bulletin of the Polish Academy of Sciences: Technical Sciences 61(2): 335-342.
  23. Klein, E.J. and Ramirez, W.F. (2001). State controllability and optimal regulator control of time-delayed systems, International Journal of Control 74(3): 281-89.
  24. Li, W. (1970). Mathematical Models in the Biological Sciences, Master’s thesis, Brown University, Providence, RI.
  25. Mahmudov, N.I. (2001). Controllability of linear stochastic systems, IEEE Transactions on Automatic Control 46(1): 724-731.
  26. Mahmudov, N.I., and Denker, A. (2000). On controllability of linear stochastic systems, International Journal of Control 73(2): 144-151.
  27. Mahmudov, N.I., and Zorlu, S. (2003). Controllability of nonlinear stochastic systems, International Journal of Control 76(2): 95-104.
  28. Oksendal, B. (2003). Stochastic Differential Equations. An Introduction with Applications, Sixth Edition, Springer-Verlag, Berlin.
  29. Richard, J.P. (2003). Time-delay systems: An overview of some recent advances and open problems, Automatica 39(10): 1667-1694.
  30. Somasundaram, D. and Balachandran, K. (1984). Controllability of nonlinear systems consisting of a bilinear mode with distributed delays in control, IEEE Transactions on Automatic Control AC-29(2): 573-575.
  31. Shen, L., and Sun, J. (2012). Relative controllability of stochastic nonlinear systems with delay in control, Nonlinear Analysis: Real World Applications 13(1): 2880-2887.
  32. Sikora, B. and Klamka, J. (2012). On constrained stochastic controllability of dynamical systems with multiple delays in control, Bulletin of the Polish Academy of Sciences: Technical Sciences 60(2): 301-305.
  33. Zhang, R., Li, T., and Guo, L. (2013). H∞ control for flexible spacecraft with time-varying input delay, Mathematical Problems in Engineering 23: 1-6. Zabczyk, J. (1981). Controllability of stochastic linear systems, Systems & Control Letters 1(1): 25-31.
DOI: https://doi.org/10.1515/amcs-2015-0015 | Journal eISSN: 2083-8492 | Journal ISSN: 1641-876X
Language: English
Page range: 207 - 215
Submitted on: Jan 17, 2014
Published on: Jun 25, 2015
Published by: University of Zielona Góra
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2015 Shanmugasundaram Karthikeyan, Krishnan Balachandran, Murugesan Sathya, published by University of Zielona Góra
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.