Title :
A sufficient condition for local semiconcavity of value function of nonlinear optimal regulator
Author :
Tsuzuki, Takayuki ; Yamashita, Yuh
Author_Institution :
Shimane Univ., Matsue, Japan
Abstract :
This paper presents a sufficient condition that the value functions of nonlinear optimal regulator problem are locally semiconcave. Semiconcave function is a continuous, and Lipschitz function. Semiconcave Lyapunov function is useful to analyze and design control systems with discontinuous feedback control. In this paper, a sufficient condition for the semiconcavity of value function is shown, that is, a sufficient condition for the existence of a semiconcave control Lyapunov function.
Keywords :
Lyapunov methods; feedback; nonlinear control systems; optimal control; sampled data systems; Lipschitz function; discontinuous feedback control; local semiconcavity; nonlinear optimal regulator; semiconcave Lyapunov function; semiconcave control Lyapunov function; semiconcave function; sufficient condition; value function; Lyapunov function; nonlinear control; optimal regulator;
Conference_Titel :
SICE Annual Conference 2010, Proceedings of
Conference_Location :
Taipei
Print_ISBN :
978-1-4244-7642-8
