Asymptotic Solution of a Singularly Perurbed Nonlinear State Regulator Problem

Lin surong; Lin Zongchi

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Lin surong, Lin Zongchi. Asymptotic Solution of a Singularly Perurbed Nonlinear State Regulator Problem[J]. Applied Mathematics and Mechanics, 1995, 16(6): 479-483.

Citation:

Lin surong, Lin Zongchi. Asymptotic Solution of a Singularly Perurbed Nonlinear State Regulator Problem[J]. Applied Mathematics and Mechanics, 1995, 16(6): 479-483.

Citation:

Lin surong, Lin Zongchi. Asymptotic Solution of a Singularly Perurbed Nonlinear State Regulator Problem[J]. Applied Mathematics and Mechanics, 1995, 16(6): 479-483.

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Asymptotic Solution of a Singularly Perurbed Nonlinear State Regulator Problem

Lin surong¹,
Lin Zongchi²

1.
Section of Mathematics, Fujian Broadcasting TV University, Fuzhou 350003, P. R. China;
2.
Department of Mathematics, Fujian Normal University. Fuzhou 350007, P. R. China

Received Date: 1994-10-21
Publish Date: 1995-06-15

Abstract

Abstract

This paper,will seek the optimal control and corresponding trajectories of the singularly perturbed nonlinear state regulator problem.Under appropriate hypotheses.it will be possible to complete an asymptotic solution which is uniformly valid when ε→0.
- singular perturbation,
- nonlinear state regulator,
- optimal control,
- diagonalization technique

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References(2)

References

[1]	林宗池,非线性系统边值问题的奇摄动,福建师范大学学报(自然科学版),5,(4)(1989),1-8.
[2]	W.A.Coppel.Dichotomies and reducibility,J.Diff.Eqs.,3(1967),500-521.