Title :
Stability of a Kind of Continuous Singular Large-Scale Dynamical Systems
Author :
Chen, Chao-tian ; Zhao, Jian-chuan
Author_Institution :
Guangdong Polytech. Normal Univ., Guangzhou
Abstract :
The stability problem of singular systems is much more complicated than those of regular systems because the singular systems are concerned with not only stability but also its regularity and impulse-free. In this paper the asymptotic stability of a kind of continuous singular large-scale dynamical systems is investigated by using the method of vector generalized Lyapunov function. The interconnecting parameter regions of asymptotic stability and instability are obtained. An illustrate example is given to show the results is pithy and easy to test.
Keywords :
Lyapunov methods; asymptotic stability; interconnected systems; asymptotic stability; continuous singular large-scale dynamical system; interconnecting parameter region; vector generalized Lyapunov function; Asymptotic stability; Chaos; Cybernetics; Equations; Large-scale systems; Lyapunov method; Machine learning; Symmetric matrices; System testing; Vectors; Interconnecting parameter region of stability; Large-scale system; Singular system; Stability; Vector Lyapunov function;
Conference_Titel :
Machine Learning and Cybernetics, 2007 International Conference on
Conference_Location :
Hong Kong
Print_ISBN :
978-1-4244-0973-0
Electronic_ISBN :
978-1-4244-0973-0
DOI :
10.1109/ICMLC.2007.4370532
