Symplectic Pseudospectral Methods for Optimal Control by Xinwei Wang & Jie Liu & Haijun Peng

Symplectic Pseudospectral Methods for Optimal Control by Xinwei Wang & Jie Liu & Haijun Peng

Author:Xinwei Wang & Jie Liu & Haijun Peng
Language: eng
Format: epub
ISBN: 9789811534386
Publisher: Springer Singapore


(5.124)

subject to the linear system equation

(5.125)

boundary conditions

(5.126)

and the pure-state constraint

(5.127)

where the parameter varies in the range of , and the characterization of the optimal solutions varies according to the value of [5]. Denote the optimal solutions of state , state , costate , costate , control and cost functional as , , , , , and , respectively. Consider the following three conditions(1)when , one has

(5.128)

(2)(2) when , one has



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