메뉴 건너뛰기




Volumn 32, Issue 5, 1998, Pages 697-710

Singular perturbations for differential equations and inclusions: An approach through constrained systems

Author keywords

Constrained systems; Differential equations and inclusions; Singular perturbations

Indexed keywords

CONSTRAINT THEORY; CONVERGENCE OF NUMERICAL METHODS; FUNCTIONS; PERTURBATION TECHNIQUES; PROBLEM SOLVING; THEOREM PROVING; VECTORS;

EID: 0032059978     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(97)00509-9     Document Type: Article
Times cited : (5)

References (19)
  • 2
    • 0021501125 scopus 로고
    • Applications of singular perturbation techniques to control problems
    • Kokotović, P. V., Applications of singular perturbation techniques to control problems. Siam Review, 1984, 26(4), 501-550.
    • (1984) Siam Review , vol.26 , Issue.4 , pp. 501-550
    • Kokotović, P.V.1
  • 6
    • 0022106099 scopus 로고
    • Singular perturbations in linear control systems with weakly coupled stable and unstable fast subsystems
    • Dontchev, A. L. and Veliov, V. M., Singular perturbations in linear control systems with weakly coupled stable and unstable fast subsystems. J. Math. Analysis Applications, 1985, 110, 1-130.
    • (1985) J. Math. Analysis Applications , vol.110 , pp. 1-130
    • Dontchev, A.L.1    Veliov, V.M.2
  • 7
    • 0037607954 scopus 로고
    • Singularly perturbed optimal control problems. I. Convergence
    • Binding, P., Singularly perturbed optimal control problems. I. Convergence. SIAM J. Control and Optimization, 1976, 14(4), 591-612.
    • (1976) SIAM J. Control and Optimization , vol.14 , Issue.4 , pp. 591-612
    • Binding, P.1
  • 9
    • 0040758623 scopus 로고
    • Singular perturbations for nonlinear optimal control
    • Quincampoix, M. and Zhang, H. Singular perturbations for nonlinear optimal control. J. Differential and Integral Equations, 1995, 116(2), 265-305.
    • (1995) J. Differential and Integral Equations , vol.116 , Issue.2 , pp. 265-305
    • Quincampoix, M.1    Zhang, H.2
  • 11
    • 0043085932 scopus 로고
    • Continuity of a family of trajectories of linear control systems with respect to singular perturbations
    • Dontchev, A. L. and Veliov, V. M., Continuity of a family of trajectories of linear control systems with respect to singular perturbations. Soviet Math. Dokl., 1987, 35(2), 283-286.
    • (1987) Soviet Math. Dokl. , vol.35 , Issue.2 , pp. 283-286
    • Dontchev, A.L.1    Veliov, V.M.2
  • 12
    • 0009108951 scopus 로고
    • Singular perturbations for system of differential inclusions
    • Banach Center Publications, Polish Academy of Sciences
    • Quincampoix, M., Singular perturbations for system of differential inclusions. In Geometry in Nonlinear Control and Differential Inclusions. Banach Center Publications, Polish Academy of Sciences, 1995, Vol. 32, pp. 341-348.
    • (1995) In Geometry in Nonlinear Control and Differential Inclusions , vol.32 , pp. 341-348
    • Quincampoix, M.1
  • 13
    • 0001584527 scopus 로고
    • Differential inclusions with stable subinclusions
    • Veliov, V. M., Differential inclusions with stable subinclusions. Nonlinear Analysis, 1994, 23(8), 1027-1038.
    • (1994) Nonlinear Analysis , vol.23 , Issue.8 , pp. 1027-1038
    • Veliov, V.M.1
  • 14
    • 0030150904 scopus 로고    scopus 로고
    • A Tikhonov-type theorem for singularly perturbed differential inclusions
    • Dontchev, A., Dontchev, T. and Slavov, I., A Tikhonov-type theorem for singularly perturbed differential inclusions. Nonlinear Analysis, 1996, 26, 1547-1554.
    • (1996) Nonlinear Analysis , vol.26 , pp. 1547-1554
    • Dontchev, A.1    Dontchev, T.2    Slavov, I.3
  • 15
    • 0040702389 scopus 로고    scopus 로고
    • Methods of singular perturbations for differential inclusions
    • in Russian
    • Filippova, T. F. and Kurzhanskii, A. B., Methods of singular perturbations for differential inclusions. Doklady Akademii Nauk CCCP, 321(3), 454-460 (in Russian).
    • Doklady Akademii Nauk CCCP , vol.321 , Issue.3 , pp. 454-460
    • Filippova, T.F.1    Kurzhanskii, A.B.2
  • 17
    • 0000311623 scopus 로고
    • Measurable Viability Theorems and Hamilton-Jacobi-Bellman equations
    • Frankowska, H., Plasckacz, S. and Rzezuchowski, T., Measurable Viability Theorems and Hamilton-Jacobi-Bellman equations. J. of Diff. Equations, 1995, 116(2), 265-305.
    • (1995) J. of Diff. Equations , vol.116 , Issue.2 , pp. 265-305
    • Frankowska, H.1    Plasckacz, S.2    Rzezuchowski, T.3
  • 19
    • 0000919196 scopus 로고
    • An algorithm for viability kernels in Hölderian case: Approximation by discrete dynamical systems
    • Quincampoix, M. and Saint-Pierre, P., An algorithm for viability kernels in Hölderian case: approximation by discrete dynamical systems. J. Mathematical Systems, Estimation, and Control, 1995, 5(1), 115.
    • (1995) J. Mathematical Systems, Estimation, and Control , vol.5 , Issue.1 , pp. 115
    • Quincampoix, M.1    Saint-Pierre, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.