ROBUST OPTIMAL CONTROL IN NOT-COMPLETELY CONTROLLABLE LINEAR TIME-VARYING SYSTEMS

E.M. Khazen

References

  1. [1] M. Green & D.J. Limebeer, Robust linear control (NY: Prentice Hall, 1995).
  2. [2] T.S. Basar & P. Bernhard, H-infinity optimal control and related minimax design problems: a dynamic game approach, Second Edition (Boston, MA: Burkhauser, 1995).
  3. [3] T.S. Basar & G.J. Olsder, Dynamic non-cooperative game theory, Second Edition (Philadelphia, PA, USA: SIAM, 1999).
  4. [4] M.I. Grimble & M.A. Johnson, Optimal control and stochastic estimations: theory and applications, Vols. 1 and 2 (New York: Wiley, 1988).
  5. [5] H.L. Trentelman, A.A. Stoorvogel, & M. Hautus, Control theory for linear systems (London: Springer, 2001).
  6. [6] P. Bernhard, Linear-quadratic, two-person, zero-sum differential games: Necessary and sufficient conditions, Journal of Optimization Theory and Applications, 27(1), 1979, 51–69. doi:10.1007/BF00933325
  7. [7] E.M. Khazen, Searching for optimal trajectory with learning, IEEE Transactions on Systems, Man, and Cybernetics – Part A: Systems and Humans, 31, 2001, 767–774. doi:10.1109/3468.983435
  8. [8] E.M. Khazen, Reduction of dimensionality in choosing optimal control, International Journal of Adaptive Control and Signal Processing, 17, 2003, 1–18. doi:10.1002/acs.721
  9. [9] E.M. Khazen, Reduction of dimensionality in choosing robust optimal control in linear systems, WSEAS Transactions on Mathematics, 2(4), 2003, 318–323.
  10. [10] E.M. Khazen, Robust optimal control in not-completely controllable linear systems, WSEAS Transactions on Systems, 3(4), 2004, 1529–1534.
  11. [11] A. Bjorck, Numerical methods for least squares problems (Philadelphia, PA, USA: SIAM, 1996).
  12. [12] G.H. Golub & C.F. Van Loan, Matrix computations, Second Edition (Baltimore, MD, USA: Johns Hopkins University Press, 1989).
  13. [13] B.C. Moore, Principal components analysis in linear systems: controllability, observability, and model reduction, IEEE Transactions on Automatic Control, AC-26, 1981, 17–32.
  14. [14] E.M. Khazen, Methods of optimal statistical decisions and optimal control problems (Moscow, Russia: Soviet Radio, 1968; in Russian).
  15. [15] B.N. Petrov, G.M. Ulanov, S.V. Ulyanov, & E.M. Khazen, Information theory in processes of optimal control and organization (Moscow, Russia: Publishing House Nauka, 1977; in Russian).
  16. [16] E.M. Khazen, On stochastic differential equations for the a posteriori probability distribution in problems of adaptive filtering and signal detection, Automation and Remote Control, 32, 1971, 1776–1782.

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