Title :
GE-evolution operator methods for exponential stability of time varying singular distributed parameter system (1)
Author :
Zhang, Hui ; Ge, Zhaoqiang
Author_Institution :
Fac. of Sci., Shaanxi Univ. of Sci. & Technol., 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; time-varying systems; GE-evolution operator methods; Hilbert space; exponential stability; functional analysis; time varying singular distributed parameter system; Asymptotic stability; Distributed parameter systems; Functional analysis; Heuristic algorithms; Hilbert space; Stability analysis; Time varying systems; GE-evolution operator; Hilbert space; exponential stability;
Conference_Titel :
Systems and Informatics (ICSAI), 2012 International Conference on
Conference_Location :
Yantai
Print_ISBN :
978-1-4673-0198-5
DOI :
10.1109/ICSAI.2012.6223403