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

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

Tian Gen-bao1, Lin Zong-chi2   

  1. 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

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

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