Title :
Controllability for singular distributed parameter control systems
Author_Institution :
Dept. of Appl. Math., Xi´an Jiaotong Univ., Xi´an, China
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;
Conference_Titel :
Control Conference (CCC), 2013 32nd Chinese
Conference_Location :
Xi´an
