Acta mathematica scientia,Series B ›› 1998, Vol. 18 ›› Issue (3): 278-284.

• Articles • Previous Articles     Next Articles

LOCAL AND GLOBAL STABILITY OF INFINITE-HORIZON VARIATIONAL PROBLEM

Gong Liutang, Fei Pusheng   

  1. Department of mathematics, Wuhan University, Wuhan 450072, China
  • Received:1996-12-19 Online:1998-09-25 Published:1998-09-25
  • Supported by:
    Project Supported by National Natural Science Foundation of China

Abstract: This paper presents an existence theorem of the optimal solution for the infintehorizon variational problem with the inclusion constraints on the state variables and velocity variables, give the estimation of the optimal solution. Under some conditions, the authors obtain the local stability and global stability of the stationary solution.

Key words: Variational Problem, Existence, Stability, Liapunov function

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