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Original Articles

Suppression and stabilisation of noise

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Pages 2150-2157 | Received 02 Mar 2009, Accepted 14 Apr 2009, Published online: 14 Sep 2009

References

  • Appleby , JAD and Mao , X . 2005 . Stochastic Stabilization of Functional Differential Equations . Systems & Control Letters , 54 : 1069 – 1081 .
  • Appleby , JAD , Mao , X and Rodkina , A . 2008 . Stabilization and Destabilization of Nonlinear Differential Equations by Noise . IEEE Transactions on Automatic Control , 53 : 683 – 691 .
  • Arnold , L . 1972 . Stochastic Differential Equations: Theory and Applications , New York : Wiley .
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  • Bahar , A and Mao , X . 2004 . Stochastic Delay Lotka–Volterra Model . Journal of Mathematical Analysis and Applications , 292 : 364 – 380 .
  • Fang , S and Zhang , T . 2005 . A Study of a Class of Stochastic Differential Equations with Non-lipschitzian Coefficients . Probability Theory and Related Fields , 132 : 356 – 390 .
  • Hasminskii , RZ . 1981 . Stochastic Stability of Differential Equations , Alphen aan den Rijn, , The Netherlands : Sijthoff and Noordhoof .
  • Mao , X . 1997 . Exponential Stability of Stochastic Differential Equations , New York : Dekker .
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  • Mao , X . 2007 . Stability and Stabilization of Stochastic Differential Delay Equations . IET Proceedings. Control Theory & Applications , 6 : 1551 – 1566 .
  • Deng , F , Luo , Q , Mao , X and Pang , S . 2008 . Noise Suppress or Expresss Exponential Growth . Systems & Control Letters , 57 : 262 – 270 .
  • Marion , G , Mao , X and Renshaw , E . 2002 . Convergence of the Euler Scheme for a Class of Stochastic Differential Equation . International Mathematical Journal , 1 : 9 – 22 .

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