文献一覧: 西田豪 (著者)

1 0 0 0 OA 安定多様体法におけるHamilton-Jacobi方程式の高速数値解法

著者: 濱口謙一西田豪坂本登山本裕
出版者: 一般社団法人システム制御情報学会
雑誌: システム制御情報学会論文誌 (ISSN:13425668)
巻号頁・発行日: vol.28, no.1, pp.32-39, 2015-01-15 (Released:2015-04-15)
参考文献数: 18

This paper proposes an error estimation of a numerical method for solving Hamilton-Jacobi equations of nonlinear optimal control problems, called stable manifold method. Then, a rapid numerical algorithm is derived from the estimation. In the algorithm, the convergent sequence with respect to solutions on stable manifolds that are equivalent to the pair of optimal feedback gains and trajectories is improved. The new algorithm has three advantages, rapid calculation, extended radius of convergence and low memory consumption.

2022-05-08 11:26:52
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https://www.jstage.jst.go.jp/article/iscie/28/1/28_32/_article/-char/ja/
(info:doi/10.5687/iscie.28.32)

1 0 0 0 OA 変分法における代数幾何と制御(<総合特集I>非線形ダイナミクスを見極め,操る先端制御理論)

1 0 0 0 OA 安定多様体法におけるHamilton-Jacobi方程式の高速数値解法