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Volumn 9, Issue 2, 1996, Pages 107-122

On control of two-scale stochastic systems with linear dynamics in the fast variables

Author keywords

Diffusion type approximations; Nearly optimal controls; Singular perturbations; Stochastic control; Two scale stochastic system

Indexed keywords

ALGEBRA; DIFFERENTIAL EQUATIONS; MATHEMATICAL MODELS; NONLINEAR CONTROL SYSTEMS; OPTIMAL CONTROL SYSTEMS; PROBLEM SOLVING;

EID: 0030380572     PISSN: 09324194     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01211749     Document Type: Article
Times cited : (8)

References (18)
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  • 4
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    • On ergodic control for singularly perturbed Markov processes
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    • (1989) J. Appl. Math. Optim. , vol.20 , pp. 131-161
    • Bielecki, T.1    Stettner, L.2
  • 5
    • 3142705380 scopus 로고
    • The strong convergence of two-scale stochastic systems and singular perturbations of filtering equations
    • G. B. Di Masi and Yu. M. Kabanov, The strong convergence of two-scale stochastic systems and singular perturbations of filtering equations, J. Math. Systems Estimation Control, 3 (1993), 207-224.
    • (1993) J. Math. Systems Estimation Control , vol.3 , pp. 207-224
    • Di Masi, G.B.1    Kabanov, Yu.M.2
  • 8
    • 0026925030 scopus 로고
    • Suboptimization of singularly perturbed control systems
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    • Gaitsgory, V.1
  • 9
    • 3943049578 scopus 로고
    • Optimal control of singularly perturbed linear stochastic systems
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    • (1991) Stochastics Stochastics Rep. , vol.36 , pp. 109-135
    • Kabanov, Yu.M.1    Pergamenshchikov, S.M.2
  • 10
    • 85033854681 scopus 로고    scopus 로고
    • Convergence of attainability sets for controlled two-scale stochastic linear systems
    • Yu. M. Kabanov and S. M. Pergamenshchikov, Convergence of attainability sets for controlled two-scale stochastic linear systems. Accepted in SIAM J. Control Optim.
    • SIAM J. Control Optim.
    • Kabanov, Yu.M.1    Pergamenshchikov, S.M.2
  • 11
    • 0009960277 scopus 로고
    • Asymptotic expansions for singularly perturbed stochastic differential equations
    • New Trends in Probability and Statistics. Feb. 24-March 4, (V. V. Sazonov and T. L. Shervashidze, eds.), Mokslas/VSP, Vilnius/Utrecht
    • Yu. M. Kabanov, S. M. Pergamenshchikov, and J. M. Stoyanov, Asymptotic expansions for singularly perturbed stochastic differential equations, in New Trends in Probability and Statistics. Vol. 1. Proceedings of the Bakuriani Colloquium in Honour of Yu. V. Prohorov, Feb. 24-March 4, 1990 (V. V. Sazonov and T. L. Shervashidze, eds.), pp. 413-435, Mokslas/VSP, Vilnius/Utrecht, 1991.
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  • 14
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    • A priori bound for the supremum of solutions of stable stochastic differential equations
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    • Estimation of the quadratic variation of nearly observed semimartingales, with application to filtering
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.