Title :
GE-semigroup methods for the stability of the singular distributed parameter systems
Author_Institution :
Dept. of Appl. Math., Xi´´an Jiaotong Univ., Xi´´an, China
Abstract :
Weak, asymptotic and exponential stability of the singular distributed parameter system are discussed in the light of GE-semigroup (i.e., generalized operator semigroup), functional analysis and operator theory in Hilbert space. The necessary and sufficient conditions concerning the weak, asymptotic and exponential stability of the singular distributed parameter system are given.
Keywords :
Hilbert spaces; asymptotic stability; distributed parameter systems; group theory; GE-semigroup methods; Hilbert space; asymptotic stability; exponential stability; functional analysis; generalized operator semigroup theory; operator theory; singular distributed parameter systems; weak stability; Asymptotic stability; Control theory; Distributed parameter systems; Generators; Hilbert space; Stability analysis; GE-semigroup; Hilbert space; Singular distributed parameter system; stability;
Conference_Titel :
Control Conference (CCC), 2012 31st Chinese
Conference_Location :
Hefei
Print_ISBN :
978-1-4673-2581-3
