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Applied Mathematics and Mechanics (English Edition) ›› 1995, Vol. 16 ›› Issue (6): 515-520.

• Articles •     Next Articles

ASYMPTOTIC SOLUTION OF A SINGULARLY PERTURBED NONLINEAR STATE REGULATOR PROBLEM

Lin surong1, Lin Zongchi2   

  1. 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:1994-10-21 Online:1995-06-18 Published:1995-06-18
  • Supported by:

    Project supported by the National Natural Science Foundation of China;the Natural Science Foundation of Fujian Province

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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.

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