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The estimation of the dynamics of indirect control switching systems Cover

The estimation of the dynamics of indirect control switching systems

Open Access
|Nov 2012

References

  1. [1] AJZERMAN, M. A.-HANTMAKHER, F. R.: Absolute Stability of Regulation Systems. Izd. AN USSR, Moscow, 1963.
  2. [2] BARBASHIN, E. A.: Method of Lyapunov Functions. Nauka, Moscow, 1970.
  3. [3] BRANICKY, M. S.: Multiple Lyapunov functions and other analysis tools for switched and hybrid systems, IEEE Trans. Automat. Control 43 (1998), 32-45.
  4. [4] BRANICKY,M. S.: Stability of switched and hybrid systems, in: Proc. 33rd Conf. Decision and Control, Lake Buena Vista, FL, 1994, pp. 3498-3503.
  5. [5] GELIG, A. KH.-LEONOV, G. A.-YAKUBOVICH, V. A.: Stability of Nonlinear System with Unique State of Equilibrium. Nauka, Moscow, 1978.
  6. [6] KHUSAINOV, D.-LANGERAK, R.-KUZMYCH, O.: Estimations of solutions conver- gence of hybrid systems consisting of linear equations with delay, Nonlinear Dyn. Syst. Theory 7 (2007), 169-186.
  7. [7] LIAO, X.-YU, P.: Absolute Stability of Nonlinear Control Systems (2nd ed.), in: Math. Model. Theory Appl., Vol. 25, Springer, New York, 2008.
  8. [8] LIAO, X.-WANG, L.-YU, P.: Stability of Dynamical Systems. Monograph Ser. Non- linear Sci. Complex., Vol. 5, Elsevier, Amsterdam, 2007.10.1016/S1574-6917(07)05001-5
  9. [9] LURIE, A. I.: Some Nonlinear Tasks of Theory of Automatic Control. Gostehizdat, Mos- cow, 1951.
  10. [10] MANNA, Z.-PNUELI, A.: Verifying hybrid systems, in: Hybrid systems, Lecture Notes in Comput. Sci., Vol. 736, Springer-Verlag, Berlin, 1993, pp. 4-35.10.1007/3-540-57318-6_22
  11. [11] MARTYNYUK, A. A.: Stability of Motion of Complex Systems. Naukova dumka, Kiev, 1975. (In Russian)
  12. [12] XUE, D.-CHEN, Y.-ATHERTON, D.: Linear Feedback Control: Analysis and Design with MATLAB, in: Adv. Des. Control, Vol. 14, SIAM, Philadelphia, 2007.10.1137/1.9780898718621
  13. [13] KHUSAINOV, D. YA.-KUZMICH, O. I.: The estimations of logic-dynamical (hybrid) systems stability with time switching, Bull. Univ. Kiev, Ser. Phys.-Math. 1 (2005), 230-237.
  14. [14] KUZMICH, O. I.: Estimations of stability of dynamics of the hybrid systems with the finite number of switching, Bull. Univ. Kiev, Ser. Phys.-Math. 2 (2005), 260-267.
DOI: https://doi.org/10.2478/v10127-011-0018-0 | Journal eISSN: 1338-9750 | Journal ISSN: 12103195
Language: English
Page range: 197 - 213
Published on: Nov 13, 2012
Published by: Slovak Academy of Sciences, Mathematical Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2012 Miroslava Růžičková, Olena Kuzmych, Denys Ya. Khusainov, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons License.