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Original Articles

On the Reliability of Discrete-Time Control Systems with Random Parameters

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Pages 53-63 | Received 01 Jun 2003, Accepted 01 Jul 2004, Published online: 09 Feb 2016

References

  • Asagalijev, S. and Cerenskij, G. (1981). Probability stability estimation of the linear systems with random parameters. Technic Cybernetics, 5, 119–202.
  • Caughey, T. K. and Gray, A. H. Jr. (1965). On the almost sure stability of linear dynamic systems with stochastic coefficients. ASME J. Appi. Mech., 32, 365–372.
  • Dash, P. and Iyenger, R. N. (1982). Analysis of randomly time-varying systems by Gaussian closure technique. J. Sound Vib, 883(2), 241–251.
  • Khasminskii, R. (1967). Necessary and sufficient conditions for asymptotic stability of linear stochastic systems. Theor. Prob. And Appls., 144–147.
  • Kozin, F. and Prodromou, S. (1971). Necessary and sufficient conditions for almost sure sample stability of linea Itô equations. SIAM JAppl. Math., 21(3), 413–424.
  • Kozin, F. (1972). Stability of stochastic dynamical systems. Lecture notes in mathematics 294. In Proc IUTAM Symp. (Edited by R. F. Curtain), 173–185. Springer-Verlag, Berlin. Stability of the linear stochastic system.
  • Most, T., Bucher, C. and Schorling, Y. C.. Dynamic stability analysis of nonlinear structures with geometrical imperfections under random loading. Journal of Sound and Vibration, London/New York, Elsevier Science Ltd, accepted for publication.
  • Nakamizo, T. and Sawaragi, Y. (1972). Stability of stochastic dynamical systems. Lecture notes in mathematics 294. In Proc IUTAM Symp. (Edited by R. F. Curtain), 186–229. Springer-Verlag, Berlin. Analytical study on n-th order linear system with stochastic coefficients.
  • Pinsky, M. A. (1974). Stochastic stability and the Dirichlet problem. Commun. Pure Appi. Math, 27, 311–350.
  • Schorling, Y. C. and Bucher, C. (1999). Stochastic stability of structures with random imperfections. In Stochastic Structural Dynamics (Edited by Bill F. jr. Spencer and Erik A. Johanson), 343–348. Balkema, Rotterdam/Brookfield.
  • Schorling, Y. C., Bucher, C. and Purkert, G. (2000). Stochastic analysis for randomly imperfect structures. In Applications of Statistics and Probability (Edited by Rob Melchers and Mark Stewart), 2, 1027–1032. Balkema, Rotterdam/Brookfield.
  • Schorling, Y. C., Most, T. and Bucher, C. (2002). Stability analysis for imperfect systems with random loading. Proceedings of the 8 th International Conference on Structural Safety and Reliability, Newport Beach, USA (Edited by R. Corotis, G. Schuëller and S. M.), June 17–22, 2001. Balkema, Rotterdam/Brookfield.
  • Yeung, S. (1984). Linear discrete-time system stability under parameters variation. Int. J. Control, 40(4), 855–862.

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