References

  1. Basak G.K., Bisi A., Ghosh M.K. Stability of a random diffusion with linear drift. J. Math. Anal. Appl. 1996, 202 (2), 604-622. doi:10.1006/jmaa.1996.0336
  2. Gikhman I.I., Skorokhod A.V. Stochastic Differential Equations and its Applications. Naukova dumka, Kyiv, 1982. (in Russian)
  3. Dynkin E.B. Markov processes. Phyzmatgiz, Moscow, 1969. (in Russian)
  4. Doob J. Stochastic processes. Phyzmatgiz, Moscow, 1963. (in Russian)
  5. Katz I.Ya. Lyapunov functions method for the stability and stabilization problems of the systems with random structure. UGAPS, Ekaterinburg, 1998. (in Russian)
  6. Mao X. Stability of stochastic differential equations with Markovian switching. Stochastic Process. Appl. 1999, 79 (1), 45-67. doi:10.1016/S0304-4149(98)00070-2
  7. Mao X., Matasov A., Piunovskiy A.B. Stochastic differential delay equations with Markovian switching. Bernoulli 2000, 6 (1), 73-90. doi:10.2307/3318634
  8. Mariton M. Jump Linear Systems in Automatic Control. Marcel-Dekker, New York, 1990.
  9. Lukashiv T.O., Yurchenko I.V., Yasynskyy V.K. Lyapunov function method for investigation of stability of stochastic Ito random-structure systems with impulse Markov switchings. I. General theorems on the stability of stochastic impulse systems. Cybernet. Systems Anal. 2009, 45 (2), 281-290. doi:10.1007/s10559-009-9102-8 (translation of Kibernet. Sistem. Anal. 2009, 2, 135-145. (in Russian))
  10. Sverdan M.L., Tsarkov Ye.F. Stability of the stochastic impulse systems. RTU, Riga, 1994. (in Russian)
  11. Shaikhet L. Stability of stochastic hereditary systems with Markov switching. Theory Stoch. Process. 1996, 2, 180-184.
  12. Skorokhod A.V. Asymptotic methods of the theory of the stochastic differential equations. Naukova dumka, Kyiv, 1987. (in Russian)
  13. Tsarkov Ye.F. Random disturbances of the functional differential equations. Zinatne, Riga, 1989. (in Russian)
  14. Yasynskyy V.K., Yasynskyy Ye.V. Problems of the stability and stabilization of the dynamical systems with finite aftereffect. TViMS, Kyiv, 2005. (in Ukrainian)

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