Constitution of Hamiltonian Function and Solution of Optimal Control of a Sort of Performance Index

数学季刊 ›› 1998, Vol. 13 ›› Issue (2): 97-102.

Constitution of Hamiltonian Function and Solution of Optimal Control of a Sort of Performance Index

Henan University，Kaifeng，475001

收稿日期:1997-09-05 出版日期:1998-06-30 发布日期:2024-11-04
基金资助:
Supported by the Henan Natural Science Fundation．The authors are Graduate students of Northwestern Polytechnical
University．

Constitution of Hamiltonian Function and Solution of Optimal Control of a Sort of Performance Index

Henan University，Kaifeng，475001

Received:1997-09-05 Online:1998-06-30 Published:2024-11-04
Supported by:
Supported by the Henan Natural Science Fundation．The authors are Graduate students of Northwestern Polytechnical
University．

摘要/Abstract

摘要： Hamiltonian function is firstly constituted for solving optimal control. When character of controlled object is known,Hamiltonian function is determined by performance index. In this paper,by constituting Hamiltonian function and solving optimal control of a sort of performance index,we can understand optimal control theory and apply optimal control method better.

关键词: Hamiltonian function, optimal control, performance index

Abstract: Hamiltonian function is firstly constituted for solving optimal control. When character of controlled object is known,Hamiltonian function is determined by performance index. In this paper,by constituting Hamiltonian function and solving optimal control of a sort of performance index,we can understand optimal control theory and apply optimal control method better.

Key words: Hamiltonian function, optimal control, performance index

中图分类号:

O231

刘先省, 文成林. Constitution of Hamiltonian Function and Solution of Optimal Control of a Sort of Performance Index[J]. 数学季刊, 1998, 13(2): 97-102.

Liu Xianxing, Wen Chenglin. Constitution of Hamiltonian Function and Solution of Optimal Control of a Sort of Performance Index[J]. Chinese Quarterly Journal of Mathematics, 1998, 13(2): 97-102.

[1]	刘先省, 文成林. 基于李雅普诺夫方法的最优控制系统的稳定性分析[J]. 数学季刊, 1999, 14(2): 83-87.
[2]	肖会敏 . Suboptimal Control of Time-Varying Neutral Control Systems[J]. 数学季刊, 1996, 11(3): 97-102.

Constitution of Hamiltonian Function and Solution of Optimal Control of a Sort of Performance Index

Constitution of Hamiltonian Function and Solution of Optimal Control of a Sort of Performance Index

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