Title :
An algorithm for common quadratic Lyapunov function
Author :
Cheng, Daizhan ; Martin, Clyde ; Xiang, Jianping
Author_Institution :
Inst. of Syst. Sci., Acad. Sinica, Beijing, China
Abstract :
Using Lyapunov mapping, in this paper a necessary and sufficient condition for a set of linear systems to share a common quadratic Lyapunov function is presented. Based on this condition an algorithm has been developed to search such a Lyapunov function. Theoretical proof for the executability of the algorithm is completed. The algorithm has been coded as a software, which shows the algorithm is very powerful. Several numerical examples, that are produced by the software, are presented to support the algorithm
Keywords :
Lyapunov matrix equations; Lyapunov mapping; common quadratic Lyapunov function search; linear systems; necessary and sufficient condition; Control systems; Linear matrix inequalities; Linear systems; Lyapunov method; Mathematics; Matrix converters; Stability; Statistics; Sufficient conditions; Symmetric matrices;
Conference_Titel :
Intelligent Control and Automation, 2000. Proceedings of the 3rd World Congress on
Conference_Location :
Hefei
Print_ISBN :
0-7803-5995-X
DOI :
10.1109/WCICA.2000.862612
