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An approximative method for solving the non-linear optimal control problem. (English) Zbl 0333.49037

MSC:

49M15 Newton-type methods
49M05 Numerical methods based on necessary conditions
93C10 Nonlinear systems in control theory
65K05 Numerical mathematical programming methods
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References:

[1] N. Canh: A convergence theorem on the iterative solution of non-linear two-point boundary value systems. Kybernetika 10 (1974), 1, 49-60. · Zbl 0285.65052
[2] P. Kenneth G. E. Taylor: Solution of variational problems with bounded control variables by means of the Generalized Newton-Raphson method. Proceedings of the Symposium on Recent advances in optimization technique. J. Wiley, New York 1966, 471-488. · Zbl 0173.35901
[3] G. M. Lance: Numerical methods for high speed computers. Illife and Sons, London 1960.
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