SINGULARLY PERTURBED METHODS IN THE THEORY OF OPTIMAL CONTROL OF SYSTEMS GOVERNED BY PARTIAL DIFFERENTIAL EQUATIONS

Applied Mathematics and Mechanics (English Edition) ›› 1994, Vol. 15 ›› Issue (8): 713-719.

SINGULARLY PERTURBED METHODS IN THE THEORY OF OPTIMAL CONTROL OF SYSTEMS GOVERNED BY PARTIAL DIFFERENTIAL EQUATIONS

田根宝¹, 林宗池²

1. Mathematical Section, Shanghai Railway College, Shanghai;
2. Department of Mathematics, Fujian Normal University, Fuzhou

收稿日期:1993-05-14 出版日期:1994-08-18 发布日期:1994-08-18
基金资助:
Project supported by Fujian-Province and the National Natural Science Foundation of China

SINGULARLY PERTURBED METHODS IN THE THEORY OF OPTIMAL CONTROL OF SYSTEMS GOVERNED BY PARTIAL DIFFERENTIAL EQUATIONS

Tian Gen-bao¹, Lin Zong-chi²

1. Mathematical Section, Shanghai Railway College, Shanghai;
2. Department of Mathematics, Fujian Normal University, Fuzhou

Received:1993-05-14 Online:1994-08-18 Published:1994-08-18
Supported by:
Project supported by Fujian-Province and the National Natural Science Foundation of China

摘要/Abstract

摘要： In this paper, the various problems associated with the optimal control of srstems governed by partial differential equations are introduced by using singular.ly perturbed methods for analysis based on state equations, or the cost function and also state equations defined in perturbed domains.

关键词: data assimilation, variational analysis, adjoint method, tide, open boundary condition, optimal control, perturbation techniques, partial differential equations

Abstract: In this paper, the various problems associated with the optimal control of srstems governed by partial differential equations are introduced by using singular.ly perturbed methods for analysis based on state equations, or the cost function and also state equations defined in perturbed domains.

Key words: data assimilation, variational analysis, adjoint method, tide, open boundary condition, optimal control, perturbation techniques, partial differential equations

田根宝;林宗池. SINGULARLY PERTURBED METHODS IN THE THEORY OF OPTIMAL CONTROL OF SYSTEMS GOVERNED BY PARTIAL DIFFERENTIAL EQUATIONS[J]. Applied Mathematics and Mechanics (English Edition), 1994, 15(8): 713-719.

Tian Gen-bao;Lin Zong-chi. SINGULARLY PERTURBED METHODS IN THE THEORY OF OPTIMAL CONTROL OF SYSTEMS GOVERNED BY PARTIAL DIFFERENTIAL EQUATIONS[J]. Applied Mathematics and Mechanics (English Edition), 1994, 15(8): 713-719.

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SINGULARLY PERTURBED METHODS IN THE THEORY OF OPTIMAL CONTROL OF SYSTEMS GOVERNED BY PARTIAL DIFFERENTIAL EQUATIONS

SINGULARLY PERTURBED METHODS IN THE THEORY OF OPTIMAL CONTROL OF SYSTEMS GOVERNED BY PARTIAL DIFFERENTIAL EQUATIONS

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