J Austral Math Soc Ser B 33 pp164--179, 1991.

Determination of a controllable set for a controlled dynamic system

Shige Peng and Jiongmin Yong

(Received 2 November 1989; revised 12 November 1990)

Abstract

The controllable set of a controlled ordinary differential dynamic system to a given set is defined. Under certain reasonable conditions, the controllable set is characterised by a level set of the unique viscosity solution to some Hamilton-Jacobi-Bellman equation. The result is used to determine the asymptotic stable set of nonlinear autonomous differential equations.

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Authors

Shige Peng
Jiongmin Yong: Department of Mathematics, Fudan University, Shanghai 200433, China.; Present address:
Department of Mathematics, Shandong University, Jinan 250100, China.

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Last Modified: Sun Jan 27 17:57:23 2002