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Original Articles

Exponential stability of stochastic differential delay equations

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Pages 135-153 | Published online: 02 May 2007

References

  • Friedman , A. 1975 . “ Stochastic Differential Equations and Applications, 1 ” . New York : Academic Press .
  • Hale , J.K. and Lunel , S.M.V. 1993 . “ Introduction to Functional Differential Equations ” . Springer-Verlag .
  • Has'minskii , R.Z. 1981 . “ Stochastic Stability of Differential Equations ” . Sijthoff and Novordhoff .
  • Kolmanovskii , V.B. and Myshkis , A. 1992 . “ Applied Theory of Functional Differential Equations ” . Kluwer Academic Publishers .
  • Kolmanovskii , V.B. and Nosov , V.R. 1986 . “ Stability of Functional Differential Equations ” . Academic Press .
  • Mao , X. 1991 . “ Stability of Stochastic Differential Equations with Respect to Semi-martingales ” . Longman Scientific and Technical .
  • Mao , X . 1994 . “ Exponential Stability of Stochastic Differential Equations ” . Marcel Dekker .
  • Mao , X. 1992 . Robustness of stability of nonlinear systems with stochastic delay perturbations . Systems and Control Letters , 19 : 391 – 400 .
  • Mao , X. 1991 . Exponentially stability for stochastic differential delay equations in Hilbert space . Quarterly J. Math. , 42 ( 2 ) : 77 – 85 .
  • Mao , X. 1996 . Robustness of exponential stability of stochastic differential delay equations . IEEE Trans. Automat. Control , AC-41 ( 3 )
  • Mao , X. 1997 . “ Stochastic Differential Equations and their Applications ” . Albion Publishing . forthcoming book
  • Mohammed , S.-E.A. 1986 . “ Stochastic Functional Differential Equations ” . Longman Scientific and Technical .
  • Mori , T. 1985 . Criteria for asymptotic stability of linear time-delay systems . IEEE Trans, Automat, Control , AC-30 : 185 – 161 .
  • Mori , T and Kokame , H. 1989 . Stability of . IEEE Trans. Automat, Control , AC-34 : 460 – 462 .
  • Su , J.-H. 1994 . Further results on the robust stability of linear systems with a single time delay . Systems and Control Letters , 23 : 375 – 379 .
  • Su , J.-H. , Fong , I.-K. and Tseng , C.-L. 1994 . Stability analysis of linear systems with time delay . IEEE Trans. Automat. Control , AC-39 : 1341 – 1344 .
  • Tseng , C.-L. , Fong , I.-K. and Su , J.-H. 1994 . Robust stability analysis for uncertain delay systems with output feedback controller . Systems and Control Letters , 23 : 271 – 278 .

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