Skip to main content
Log in

Asymptotic solution of a singularly perturbed nonlinear state regulator problem

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. 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)

    Google Scholar 

  2. W. A. Coppel, Dichotomies and reducibility,J. Diff. Eqs.,3 (1967), 500–521.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

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

Rights and permissions

Reprints and permissions

About this article

Cite this article

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

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02458719

Key words

Navigation