Title :
Linear quadratic optimal control problem for singular distributed parameter system in Hilbert space
Author :
Li Shaojie ; Wang Jiangshu
Author_Institution :
Fac. of Sci., Shaanxi Univ. of Sci. & Technol., Xi´an, China
Abstract :
Linear quadratic optimal control on a finite time interval for singular distributed parameter control system is discussed via functional analysis and the theory of GE0-semi-group in Hilbert space. The uniqueness and existence of minimizing input are proved respectively. This research is theoretically important for studying the optimal control problem of the singular distributed parameter control systems.
Keywords :
Hilbert spaces; distributed parameter systems; functional analysis; group theory; linear systems; optimal control; singularly perturbed systems; GE0-semigroup theory; Hilbert space; finite time interval; functional analysis; linear quadratic optimal control problem; singular distributed parameter control system; Distributed parameter systems; Functional analysis; Heuristic algorithms; Hilbert space; Optimal control; Trajectory; GE0-Semi-Group; Hilbert Space; Linear Quadratic Optimal Control; Singular Distributed Parameter System;
Conference_Titel :
Control Conference (CCC), 2010 29th Chinese
Conference_Location :
Beijing
Print_ISBN :
978-1-4244-6263-6