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.
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Lin Zongchi, Singular perturbation of boundary value problem of nonlinear systems,Journal of Fujian Normal University (Natural Science),5, 4 (1989) 1–8. (in Chinese)
W. A. Coppel, Dichotomies and reducibility,J. Diff. Eqs.,3 (1967), 500–521.
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Project supported by the National Natural Science Foundation of China and the Natural Science Foundation of Fujian Province
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surong, L., Zongchi, L. Asymptotic solution of a singularly perturbed nonlinear state regulator problem. Appl Math Mech 16, 515–520 (1995). https://doi.org/10.1007/BF02458719
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DOI: https://doi.org/10.1007/BF02458719