Title :
Lyapunov stability analysis of linear singular dynamical systems
Author :
Chao-tian, Chen ; Yong-qing, Liu
Author_Institution :
Dept. of Autom., South China Univ. of Technol., Guangzhou, China
Abstract :
Some stability criteria corresponding with the Lyapunov function of linear singular systems is proposed. An asymptotically stable linear singular system is not only attractive but also impulse-free. At the same time, the stability problem of large-scale linear singular dynamical systems is investigated by using the method of weighted sum type of Lyapunov functions. Some results concerning the stability, asymptotical stability, and instability of large-scale linear singular dynamical systems, are given
Keywords :
Lyapunov methods; asymptotic stability; large-scale systems; linear systems; stability; Lyapunov function; Lyapunov stability analysis; asymptotical stability; impulse-free; instability; large-scale linear singular dynamical systems; linear singular dynamical systems; weighted sum type; Asymptotic stability; Automation; Chaos; Large-scale systems; Lyapunov method; Power engineering and energy; Power system stability; Stability criteria; Systems engineering and theory; Vectors;
Conference_Titel :
Intelligent Processing Systems, 1997. ICIPS '97. 1997 IEEE International Conference on
Conference_Location :
Beijing
Print_ISBN :
0-7803-4253-4
DOI :
10.1109/ICIPS.1997.672862
