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Spectral homotopy analysis method and its convergence for solving a class of nonlinear optimal control problems. (English) Zbl 1284.65080

The authors study the spectral homotopy analysis method (SHAM) and its convergence for solving a class of nonlinear optimal control problems (OCP). They present nonlinear quadratic OCPs and optimality conditions and describe the properties of the Legendre polynomials and SHAM. Existence and uniqueness of solution of SHAM that guarantee convergence of SHAM are given. Numerical results and comparisons are presented.

MSC:

65K10 Numerical optimization and variational techniques
49J20 Existence theories for optimal control problems involving partial differential equations
49M25 Discrete approximations in optimal control

Software:

Matlab
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Full Text: DOI

References:

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