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Volumn 185, Issue 2, 2006, Pages 377-390

The parameterization method in optimal control problems and differential-algebraic equations

Author keywords

Calculus of variations; Degenerate problems; Differential algebraic equations; Optimal control; Parameterization method; Phase restrictions

Indexed keywords

ALGEBRA; MATRIX ALGEBRA; OPTIMAL CONTROL SYSTEMS; ORDINARY DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; VECTORS;

EID: 25144440894     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2005.03.017     Document Type: Conference Paper
Times cited : (9)

References (18)
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    • Balakina, E.A.1    Kuznetsov, E.B.2
  • 5
    • 25144516951 scopus 로고
    • The parameterization method for optimal control problems
    • V.K. Gorbunov The parameterization method for optimal control problems Comput. Math. Math. Phys. 19 2 1979
    • (1979) Comput. Math. Math. Phys. , vol.19 , Issue.2
    • Gorbunov, V.K.1
  • 6
    • 45149145483 scopus 로고
    • The method of normal spline-collocation
    • V.K. Gorbunov The method of normal spline-collocation Comput. Math. Math. Phys. 29 2 1989
    • (1989) Comput. Math. Math. Phys. , vol.29 , Issue.2
    • Gorbunov, V.K.1
  • 7
    • 0035717439 scopus 로고    scopus 로고
    • Regularization of degenerate equations and inequalities under explicit data parameterization
    • V.K. Gorbunov Regularization of degenerate equations and inequalities under explicit data parameterization J. Inv. Ill-Posed Problems 9 6 2001 575 594
    • (2001) J. Inv. Ill-Posed Problems , vol.9 , Issue.6 , pp. 575-594
    • Gorbunov, V.K.1
  • 8
    • 25144455271 scopus 로고    scopus 로고
    • The parameterization method in singular differential-algebraic equations
    • Computational Science - ICCS, Proceedings, Part II, Springer, Berlin
    • V.K. Gorbunov, I.V. Lutoshkin, The parameterization method in singular differential-algebraic equations, Lecture Notes in Comput. Sci., 2658: Computational Science - ICCS, Proceedings, Part II, Springer, Berlin, 2003, 483-491.
    • (2003) Lecture Notes in Comput. Sci. , vol.2658 , pp. 483-491
    • Gorbunov, V.K.1    Lutoshkin, I.V.2
  • 9
    • 10844255078 scopus 로고    scopus 로고
    • Development and experience of applying the parameterization method in degenerate problems of dynamical optimization
    • V.K. Gorbunov, and I.V. Lutoshkin Development and experience of applying the parameterization method in degenerate problems of dynamical optimization Internat. J. Comput. Syst. Sci. 5 2004
    • (2004) Internat. J. Comput. Syst. Sci. , vol.5
    • Gorbunov, V.K.1    Lutoshkin, I.V.2
  • 10
    • 29744443530 scopus 로고    scopus 로고
    • Development of the method of normal spline collocation for linear differential equations
    • V.K. Gorbunov, and V.V. Petrischev Development of the method of normal spline collocation for linear differential equations Comput. Math. Math. Phys. 43 8 2003 1161 1170
    • (2003) Comput. Math. Math. Phys. , vol.43 , Issue.8 , pp. 1161-1170
    • Gorbunov, V.K.1    Petrischev, V.V.2
  • 14
    • 25144506858 scopus 로고    scopus 로고
    • Numerical solution of the Cauchy problem for a system of differential-algebraic equations with the use of implicit Runge-Kutta methods with a untrivial predictor
    • G.Yu. Kulikov Numerical solution of the Cauchy problem for a system of differential-algebraic equations with the use of implicit Runge-Kutta methods with a untrivial predictor Comput. Math. Math. Phys. 38 1 1998
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    • Kulikov, G.Yu.1
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    • Method of successive approximation for computing of optimal control
    • Russian
    • A.A. Lubushin, F.L. Chernousko, Method of successive approximation for computing of optimal control, Izv. Akad. Nauk SSSR Tekhn. Kibermet. (2) (1983) 147-159 (Russian).
    • (1983) Izv. Akad. Nauk SSSR Tekhn. Kibermet. , Issue.2 , pp. 147-159
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    • Solvability of boundary value problems for systems of singular differential-algebraic equations
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.