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Asymptotic solution of a singularly perturbed nonlinear state regulator problem
Authors:Lin surong  Lin Zongchi
Institution: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
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 σ→0. Project supported by the National Natural Science Foundation of China and the Natural Science Foundation of Fujian Province
Keywords:singular perturbation  nonlinear state regulator  optimal control  diagonalization technique
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