Title :
GE-evolution operator methods for the stability of time varying singular distributed parameter system
Author :
Ge, Zhaoqiang ; Feng, Dexing
Author_Institution :
Dept. of Appl. Math., Xi´´an Jiaotong Univ., Xi´´an, China
Abstract :
Exponential stability of time varying singular distributed parameter system are discussed in Hilbert space. Some necessary and sufficient conditions for the exponential stability are obtained by using functional analysis and GE-evolution operator (i.e., generalized evolution operator). This research is theoretically important for studying the stability of the time varying singular distributed parameter systems.
Keywords :
Hilbert spaces; asymptotic stability; distributed parameter systems; evolutionary computation; functional analysis; time-varying systems; GE-evolution operator; Hilbert space; exponential stability; functional analysis; generalized evolution operator; time varying singular distributed parameter system; Circuit stability; Control theory; Distributed parameter systems; Hilbert space; Stability analysis; Thermal stability; Time varying systems; GE-evolution operator; Hilbert space; exponential stability;
Conference_Titel :
Industrial Electronics and Applications (ICIEA), 2012 7th IEEE Conference on
Conference_Location :
Singapore
Print_ISBN :
978-1-4577-2118-2
DOI :
10.1109/ICIEA.2012.6360823
