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Volumn 59, Issue 12, 2010, Pages 745-753

Stochastic suppression and stabilization of functional differential equations

Author keywords

Stabilization; Stochastic functional differential equations; Stochastically ultimate boundedness; Suppression

Indexed keywords

BROWNIAN MOVEMENT; DIFFERENTIAL EQUATIONS; STABILIZATION;

EID: 84861594947     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sysconle.2010.08.011     Document Type: Article
Times cited : (29)

References (18)
  • 3
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    • Stabilization and destabilization of nonlinear differential equations by noise
    • J. A. D. Appleby, X. Mao, A. Rodkina, Stabilization and destabilization of nonlinear differential equations by noise, IEEE Trans. Automat. Control 53 (2008) 683-691.
    • (2008) IEEE Trans. Automat. Control , vol.53 , pp. 683-691
    • Appleby, J.A.D.1    Mao, X.2    Rodkina, A.3
  • 6
    • 33845950815 scopus 로고    scopus 로고
    • Stabilization and destabilization of hybrid systems of stochastic differential equations
    • X. Mao, G. Yin, C. Yuan, Stabilization and destabilization of hybrid systems of stochastic differential equations, Automatica 43 (2007) 264-273.
    • (2007) Automatica , vol.43 , pp. 264-273
    • Mao, X.1    Yin, G.2    Yuan, C.3
  • 7
    • 36248976012 scopus 로고    scopus 로고
    • Stability and stabilization of stochastic differential delay equations
    • X. Mao, Stability and stabilization of stochastic differential delay equations, IET Control Theory Appl. 6 (2007) 1551-1566.
    • (2007) IET Control Theory Appl , vol.6 , pp. 1551-1566
    • Mao, X.1
  • 8
    • 24944579472 scopus 로고    scopus 로고
    • Stochastic stabilization of functional differential equations
    • J. A. D. Appleby, X. Mao, Stochastic stabilization of functional differential equations, System Control Lett. 54 (2005) 1069-1081.
    • (2005) System Control Lett , vol.54 , pp. 1069-1081
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  • 10
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    • Stochastic delay Lotka-Volterra model
    • A. Bahar, X. Mao, Stochastic delay Lotka-Volterra model, J. Math. Anal. Appl. 292 (2004) 364-380.
    • (2004) J. Math. Anal. Appl , vol.292 , pp. 364-380
    • Bahar, A.1    Mao, X.2
  • 11
    • 0242563961 scopus 로고    scopus 로고
    • Environmental noise supresses explosion in population dynamics
    • X. Mao, G. Marion, E. Renshaw, Environmental noise supresses explosion in population dynamics, Stoch. Process. Appl. 97 (2002) 95-110.
    • (2002) Stoch. Process. Appl , vol.97 , pp. 95-110
    • Mao, X.1    Marion, G.2    Renshaw, E.3
  • 12
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    • Stochastic functional Kolmogorov-type population dynamics
    • F. Wu, S. Hu, Stochastic functional Kolmogorov-type population dynamics, J. Math. Anal. Appl. 347 (2008) 534-549.
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  • 13
    • 43049147662 scopus 로고    scopus 로고
    • Noise suppress or expresss exponential growth
    • F. Deng, Q. Luo, X. Mao, S. Pang, Noise suppress or expresss exponential growth, System Control Lett. 57 (2008) 262-270.
    • (2008) System Control Lett , vol.57 , pp. 262-270
    • Deng, F.1    Luo, Q.2    Mao, X.3    Pang, S.4
  • 14
    • 70349645114 scopus 로고    scopus 로고
    • Suppression and stabilisation of noise
    • F. Wu, S. Hu, Suppression and stabilisation of noise, Internat. J. Control 82 (2009) 2150-2157.
    • (2009) Internat. J. Control , vol.82 , pp. 2150-2157
    • Wu, F.1    Hu, S.2
  • 15
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    • Numerical solutions of stochastic functional differential equations
    • X. Mao, Numerical solutions of stochastic functional differential equations, LMS J. Comput. Math. 6 (2003) 141-161.
    • (2003) LMS J. Comput. Math , vol.6 , pp. 141-161
    • Mao, X.1
  • 16
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    • Almost sure and moment exponential stability in the numerical simulation of stochastic differential equations
    • D. J. Higham, X. Mao, C. Yuan, Almost sure and moment exponential stability in the numerical simulation of stochastic differential equations, SIAM J. Numer. Anal. 45 (2007) 592-607.
    • (2007) SIAM J. Numer. Anal , vol.45 , pp. 592-607
    • Higham, D.J.1    Mao, X.2    Yuan, C.3
  • 18
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    • A study of a class of stochastic differential equations with non-Lipschitzian coefficients
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    • (2005) Probab. Theory Related Fields , vol.132 , pp. 356-390
    • Fang, S.1    Zhang, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.