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Volumn 26, Issue 2, 2008, Pages 338-356

Numerical solution to hybrid stochastic differential systems

Author keywords

Hybrid systems; It type equations; Numerical stability; Stochastic differential equations; Uniform convergence

Indexed keywords


EID: 40549121627     PISSN: 07362994     EISSN: 15329356     Source Type: Journal    
DOI: 10.1080/07362990701857293     Document Type: Article
Times cited : (1)

References (16)
  • 2
    • 0036944901 scopus 로고    scopus 로고
    • Stability of hybrid dynamic systems containing singularly perturbed random processes
    • Badowski, G., and Yin, G. 2002. Stability of hybrid dynamic systems containing singularly perturbed random processes. IEEE Trans. Automat. Control 47(12):2021-2032.
    • (2002) IEEE Trans. Automat. Control , vol.47 , Issue.12 , pp. 2021-2032
    • Badowski, G.1    Yin, G.2
  • 5
    • 24344446485 scopus 로고    scopus 로고
    • A model for stochastic hybrid systems with application to communication networks
    • Hespanha, J.P. 2005. A model for stochastic hybrid systems with application to communication networks. Nonlinear Anal. 62(8): 1353-1383.
    • (2005) Nonlinear Anal , vol.62 , Issue.8 , pp. 1353-1383
    • Hespanha, J.P.1
  • 8
    • 12844251930 scopus 로고    scopus 로고
    • Hybrid systems: Convergence and stability analysis of stochastic large-scale approximation schemes
    • Ladde, G.S. 2004. Hybrid systems: convergence and stability analysis of stochastic large-scale approximation schemes. Dynam. Systems Appl. 13:487-511.
    • (2004) Dynam. Systems Appl , vol.13 , pp. 487-511
    • Ladde, G.S.1
  • 9
    • 15044360762 scopus 로고    scopus 로고
    • Active Fault Tolerant Control Systems
    • Stochastic analysis and synthesis, Springer-Verlag, Berlin
    • Mahmoud, M.M., Jiang, J., and Zhang, Y. 2003. Active Fault Tolerant Control Systems. Stochastic analysis and synthesis, Lecture Notes in Control and Information Sciences, 287, Springer-Verlag, Berlin.
    • (2003) Lecture Notes in Control and Information Sciences , vol.287
    • Mahmoud, M.M.1    Jiang, J.2    Zhang, Y.3
  • 10
    • 33845950815 scopus 로고    scopus 로고
    • Stabilization and destabilization of hybrid systems of stochastic differential equations
    • Mao, X., Yin, G., and Yuan, C. 2007. Stabilization and destabilization of hybrid systems of stochastic differential equations. Automatica J. IFAC 43(2):264-273.
    • (2007) Automatica J. IFAC , vol.43 , Issue.2 , pp. 264-273
    • Mao, X.1    Yin, G.2    Yuan, C.3
  • 11
    • 0003074014 scopus 로고
    • Continuous Markov processes and stochastic equations
    • Maruyama, G. 1955. Continuous Markov processes and stochastic equations. Rend. Circ. Mat. Palermo 4:48-90.
    • (1955) Rend. Circ. Mat. Palermo , vol.4 , pp. 48-90
    • Maruyama, G.1
  • 12
    • 0001040012 scopus 로고
    • Numerical treatment of stochastic differential equations
    • Rümelin, W. 1982. Numerical treatment of stochastic differential equations. SIAM J. Numer. Anal. 19:604-613.
    • (1982) SIAM J. Numer. Anal , vol.19 , pp. 604-613
    • Rümelin, W.1
  • 13
    • 0034179332 scopus 로고    scopus 로고
    • Modal estimation in hybrid systems
    • Sworder, D., Boyd, J., and Elliott, R. 2000. Modal estimation in hybrid systems. J. Math. Anal. Appl. 245(1):225-247.
    • (2000) J. Math. Anal. Appl , vol.245 , Issue.1 , pp. 225-247
    • Sworder, D.1    Boyd, J.2    Elliott, R.3
  • 15
    • 69549134763 scopus 로고    scopus 로고
    • Stability of nonlinear hybrid systems
    • New Trends in Nonlinear Dynamics and Control, and Their Applications, Springer: Berlin, pp
    • Yin G., and Zhang, Q. 2003. Stability of nonlinear hybrid systems. In New Trends in Nonlinear Dynamics and Control, and Their Applications, Lecture Notes in Control and Inform. Sci., 295, Springer: Berlin, pp. 251-264.
    • (2003) Lecture Notes in Control and Inform. Sci , vol.295 , pp. 251-264
    • Yin, G.1    Zhang, Q.2
  • 16
    • 0346339764 scopus 로고    scopus 로고
    • Convergence of the Euler-Maruyama method for stochastic differential equations with Markovian switching
    • Yuan C., and Mao, X. 2004. Convergence of the Euler-Maruyama method for stochastic differential equations with Markovian switching. Math. Comput. Simulation 64:223-235.
    • (2004) Math. Comput. Simulation , vol.64 , pp. 223-235
    • Yuan, C.1    Mao, X.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.