Numerical methods of nonlinear optimal control based on mathematical programming
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| Published in: | Nonlinear analysis Vol. 30; no. 6; pp. 3843 - 3854 |
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| Main Author: | |
| Format: | Journal Article |
| Language: | English |
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Elsevier Ltd
01.12.1997
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| ISSN: | 0362-546X, 1873-5215 |
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| Author | Ito, Satoshi |
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| Author_xml | – sequence: 1 givenname: Satoshi surname: Ito fullname: Ito, Satoshi organization: The Institute of Statistical Mathematics, Department of Prediction and Control 4-6-7 Minami-Azabu, Minato-ku, Tokyo 106, Japan |
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| Copyright | 1997 Elsevier Science Ltd |
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| Keywords | nonlinear programming Optimal control infinite programming inexact Newton method quasi-Newton method interior point method convex quadratic programming sequential quadratic programming |
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| References | Edge, Powers (bib2) 1976; 20 Tanabe (bib26) 1987; 5 Sachs (bib21) 1986; 35 Shimizu, Fujimaki, Ishizuka (bib22) 1986; AC-31 Ito, Shimizu (bib7) 1991; 27 Ito, Shimizu (bib6) 1990; 2 Pierson, Rajtora (bib19) 1970; SSC-6 Kojima, Mizuno, Yoshise (bib11) 1989 Shimizu, Ito (bib24) 1993; 3 Gruver, Sachs (bib3) 1980 Mayorga, Quintana (bib15) 1980; 31 Craven (bib1) 1978 Lasdon (bib12) 1970; AC-15 Luenberger (bib14) 1969 Pagurek, Woodside (bib18) 1968; 4 Tanabe (bib27) 1987 Ito, Kelley, Sachs (bib8) 1995; 4 Han (bib4) 1977; 15 Horwitz, Sarachik (bib5) 1968; 16 Monteiro, Adler (bib17) 1989; 44 Tripathi, Narendra (bib29) 1970; AC-15 Shimizu, Ito (bib23) 1991; 1 Turner, Huntley (bib30) 1976; 19 Kelley, Sachs (bib10) 1987; 25 Wright (bib32) 1993; 77 Leibfritz, Sachs (bib13) 1994 Shimizu, Ito (bib25) 1994; AC-39 Turner, Huntley (bib31) 1977; 21 Quintana, Davison (bib20) 1974; 20 Tokumaru, Adachi, Goto (bib28) 1970; 8 Jacobson, Lele (bib9) 1969; AC-14 Megiddo (bib16) 1989 Craven (10.1016/S0362-546X(96)00327-6_bib1) 1978 Shimizu (10.1016/S0362-546X(96)00327-6_bib23) 1991; 1 Quintana (10.1016/S0362-546X(96)00327-6_bib20) 1974; 20 Tokumaru (10.1016/S0362-546X(96)00327-6_bib28) 1970; 8 Ito (10.1016/S0362-546X(96)00327-6_bib7) 1991; 27 Edge (10.1016/S0362-546X(96)00327-6_bib2) 1976; 20 Shimizu (10.1016/S0362-546X(96)00327-6_bib22) 1986; AC-31 Monteiro (10.1016/S0362-546X(96)00327-6_bib17) 1989; 44 Turner (10.1016/S0362-546X(96)00327-6_bib31) 1977; 21 Jacobson (10.1016/S0362-546X(96)00327-6_bib9) 1969; AC-14 Mayorga (10.1016/S0362-546X(96)00327-6_bib15) 1980; 31 Kojima (10.1016/S0362-546X(96)00327-6_bib11) 1989 Pierson (10.1016/S0362-546X(96)00327-6_bib19) 1970; SSC-6 Gruver (10.1016/S0362-546X(96)00327-6_bib3) 1980 Kelley (10.1016/S0362-546X(96)00327-6_bib10) 1987; 25 Tripathi (10.1016/S0362-546X(96)00327-6_bib29) 1970; AC-15 Wright (10.1016/S0362-546X(96)00327-6_bib32) 1993; 77 Han (10.1016/S0362-546X(96)00327-6_bib4) 1977; 15 Ito (10.1016/S0362-546X(96)00327-6_bib6) 1990; 2 Turner (10.1016/S0362-546X(96)00327-6_bib30) 1976; 19 Luenberger (10.1016/S0362-546X(96)00327-6_bib14) 1969 Sachs (10.1016/S0362-546X(96)00327-6_bib21) 1986; 35 Shimizu (10.1016/S0362-546X(96)00327-6_bib24) 1993; 3 Tanabe (10.1016/S0362-546X(96)00327-6_bib27) 1987 Leibfritz (10.1016/S0362-546X(96)00327-6_bib13) 1994 Megiddo (10.1016/S0362-546X(96)00327-6_bib16) 1989 Shimizu (10.1016/S0362-546X(96)00327-6_bib25) 1994; AC-39 Pagurek (10.1016/S0362-546X(96)00327-6_bib18) 1968; 4 Tanabe (10.1016/S0362-546X(96)00327-6_bib26) 1987; 5 Horwitz (10.1016/S0362-546X(96)00327-6_bib5) 1968; 16 Ito (10.1016/S0362-546X(96)00327-6_bib8) 1995; 4 Lasdon (10.1016/S0362-546X(96)00327-6_bib12) 1970; AC-15 |
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Contr. doi: 10.1109/TAC.1986.1104338 – volume: 1 start-page: 364 year: 1991 ident: 10.1016/S0362-546X(96)00327-6_bib23 article-title: Constrained optimization in Banach space and a generalized dual quasi-Newton algorithm for state-constrained optimal control problems – volume: 3 start-page: 1404 year: 1993 ident: 10.1016/S0362-546X(96)00327-6_bib24 article-title: Satisfactory optimal control—formulation and algorithm – volume: AC-14 start-page: 457 year: 1969 ident: 10.1016/S0362-546X(96)00327-6_bib9 article-title: A transformation technique for optimal control problems with a state variable inequality constraint publication-title: IEEE Trans. Auiom. Contr. doi: 10.1109/TAC.1969.1099283 – volume: SSC-6 start-page: 240 year: 1970 ident: 10.1016/S0362-546X(96)00327-6_bib19 article-title: Computational experience with the Davidon method applied to optimal control problems publication-title: IEEE Trans. Sys. Sci. 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Theory Appl. doi: 10.1007/BF00941483 – volume: 21 start-page: 199 year: 1977 ident: 10.1016/S0362-546X(96)00327-6_bib31 article-title: Direct-prediction quasi-Newton methods in Hilbert space with applications to control problems publication-title: J. Optim. Theory Appl. doi: 10.1007/BF00932520 – volume: 16 start-page: 676 year: 1968 ident: 10.1016/S0362-546X(96)00327-6_bib5 article-title: Davidon's method in Hilbert space publication-title: SIAM J. Appl. Math. doi: 10.1137/0116055 – start-page: 131 year: 1987 ident: 10.1016/S0362-546X(96)00327-6_bib27 article-title: Centered Newton method for linear programming and quadratic programming – volume: AC-15 start-page: 268 year: 1970 ident: 10.1016/S0362-546X(96)00327-6_bib29 article-title: Optimization using conjugate gradient methods publication-title: IEEE Trans. Autom. 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Optim. doi: 10.1137/0325083 – volume: 2 start-page: 717 year: 1990 ident: 10.1016/S0362-546X(96)00327-6_bib6 article-title: A solution of optimal control problems with terminal state equality constraints by quasi-Newton method – start-page: 131 year: 1989 ident: 10.1016/S0362-546X(96)00327-6_bib16 article-title: Pathways to the optimal set in linear programming – volume: 77 start-page: 161 year: 1993 ident: 10.1016/S0362-546X(96)00327-6_bib32 article-title: Interior point methods for optimal control of discrete-time systems publication-title: J. Optim. Theory Appl. doi: 10.1007/BF00940784 |
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| Title | Numerical methods of nonlinear optimal control based on mathematical programming |
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