Controllability for singular distributed parameter control systems

Author

Ge Zhaoqiang

Author_Institution

Dept. of Appl. Math., Xi´an Jiaotong Univ., Xi´an, China

fYear

2013

Firstpage

1281

Lastpage

1286

Abstract

First of all the properties of the GE-semigroup is discussed by using Laplace transformation. And then exact controllability, exact null controllability and approximate controllability of singular distributed parameter control system are discussed via functional analysis and the theory of GE-semigroup in Hilbert space, necessary and sufficient conditions concerning the exact controllability, exact null controllability and approximate controllability are given. This research is theoretically important for studying the controllability of the singular distributed parameter control systems.

Keywords

Hilbert spaces; controllability; distributed parameter systems; functional analysis; group theory; GE-semigroup theory; Hilbert space; Laplace transformation; approximate controllability; exact null controllability; functional analysis; necessary conditions; singular distributed parameter control systems; sufficient conditions; Aerospace electronics; Controllability; Distributed parameter systems; Equations; Generators; Hilbert space; GE-semigroup; Hilbert space; approximate controllability; exact controllability; exact null controllability; singular distributed parameter control system;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2013 32nd Chinese

Conference_Location

Xi´an

Type

conf

Filename

6639624