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Volumn 30, Issue 2-3, 1997, Pages 139-147

On the construction of asymptotically optimal controls for singularly perturbed systems

Author keywords

Necessary optimality conditions; Optimal control; Singularly perturbed control systems

Indexed keywords


EID: 0001269643     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6911(96)00088-6     Document Type: Article
Times cited : (10)

References (14)
  • 1
    • 0012227045 scopus 로고    scopus 로고
    • Singularly perturbed ordinary differential equations with dynamic limits
    • Z. Artstein and A. Vigodner, Singularly perturbed ordinary differential equations with dynamic limits, Proc. Royal Soc. Edinburgh A 126 (1996) 541-569.
    • (1996) Proc. Royal Soc. Edinburgh A , vol.126 , pp. 541-569
    • Artstein, Z.1    Vigodner, A.2
  • 2
    • 0031236995 scopus 로고    scopus 로고
    • Tracking fast trajectories along a slow dynamics
    • Z. Artstein and V.G. Gaitsgory, Tracking fast trajectories along a slow dynamics, SIAM J. Control Optim. 35 (4) (1997).
    • (1997) SIAM J. Control Optim. , vol.35 , Issue.4
    • Artstein, Z.1    Gaitsgory, V.G.2
  • 5
    • 0003429641 scopus 로고
    • Perturbations, Approximations and Sensitivity Analysis
    • Springer, Berlin
    • A.L. Dontchev, Perturbations, Approximations and Sensitivity Analysis, Lecture Notes in Control Inform. Sciences, Vol. 52 (Springer, Berlin, 1983).
    • (1983) Lecture Notes in Control Inform. Sciences , vol.52
    • Dontchev, A.L.1
  • 6
    • 0026925030 scopus 로고
    • Suboptimization of singularly perturbed control systems
    • V.G. Gaitsgory, Suboptimization of singularly perturbed control systems, SIAM J. Control Optim. 30 (1992) 1228-1249.
    • (1992) SIAM J. Control Optim. , vol.30 , pp. 1228-1249
    • Gaitsgory, V.G.1
  • 7
    • 0029292416 scopus 로고
    • A new reduction technique for a class of singularly perturbed optimal control problems
    • V.G. Gaitsgory, A new reduction technique for a class of singularly perturbed optimal control problems, IEEE Trans. Automat. Control 40 (1995) 721-724.
    • (1995) IEEE Trans. Automat. Control , vol.40 , pp. 721-724
    • Gaitsgory, V.G.1
  • 8
    • 0346306281 scopus 로고    scopus 로고
    • Averaging of singularly perturbed systems
    • to appear TMA
    • G. Grammel, Averaging of singularly perturbed systems, to appear in: J. Nonlinear Anal., TMA.
    • J. Nonlinear Anal.
    • Grammel, G.1
  • 9
    • 85045534819 scopus 로고    scopus 로고
    • Singularly perturbed differential inclusions: An averaging approach
    • to appear
    • G. Grammel, Singularly perturbed differential inclusions: an averaging approach, to appear in: J. Set-valued Anal.
    • J. Set-valued Anal.
    • Grammel, G.1
  • 10
    • 0021501125 scopus 로고
    • Applications of singularly perturbations to optimal control problems
    • P.V. Kokotovic, Applications of singularly perturbations to optimal control problems, SIAM Rev. 26 (1981) 501-550.
    • (1981) SIAM Rev. , vol.26 , pp. 501-550
    • Kokotovic, P.V.1
  • 12
    • 3342935522 scopus 로고
    • Singular perturbations and order reduction in control theory
    • P.V. Kokotovic, R.E. O'Malley and P. Sannuti, Singular perturbations and order reduction in control theory. Automatica 12 (1976) 123-132.
    • (1976) Automatica , vol.12 , pp. 123-132
    • Kokotovic, P.V.1    O'Malley, R.E.2    Sannuti, P.3
  • 13
    • 0001471520 scopus 로고
    • Averaging method for differential inclusions and its application to optimal control problems
    • V.A. Plotnikov, Averaging method for differential inclusions and its application to optimal control problems, Differential Equations 15 (1979) 1013-1018.
    • (1979) Differential Equations , vol.15 , pp. 1013-1018
    • Plotnikov, V.A.1
  • 14
    • 0030826053 scopus 로고    scopus 로고
    • Limits of singularly perturbed control problems with statistical dynamics of fast motion
    • to appear
    • A. Vigodner, Limits of singularly perturbed control problems with statistical dynamics of fast motion, to appear in: SIAM J. Control Optim.
    • SIAM J. Control Optim
    • Vigodner, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.