DocumentCode
529714
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
fYear
2010
fDate
18-21 Aug. 2010
Firstpage
1559
Lastpage
1562
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;
fLanguage
English
Publisher
ieee
Conference_Titel
SICE Annual Conference 2010, Proceedings of
Conference_Location
Taipei
Print_ISBN
978-1-4244-7642-8
Type
conf
Filename
5603084
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