Title :
Common Lyapunov Functions for Stable Second Order Systems
Author :
Chen, Zheng ; Gao, Yan
Author_Institution :
Bus. Sch., Univ. of Shanghai for Sci. & Technol., Shanghai
Abstract :
This paper considers the problem of finding a common linear copositive Lyapunov function for a set of second order systems. Based on mathematical programming, we give a new proof of the result in (O. Mason, 2004). Then we extend this result to a finite number of systems, and a common linear copositive Lyapunov function is obtained.
Keywords :
Lyapunov methods; linear programming; linear systems; stability; common linear copositive Lyapunov function; linear programming; mathematical programming; second order stable positive LTI systems; stable second order systems; Asymptotic stability; Eigenvalues and eigenfunctions; Linear programming; Linear systems; Lyapunov method; Mathematical programming; Paper technology; Space technology; Switched systems; Switches;
Conference_Titel :
Intelligent Systems and Applications, 2009. ISA 2009. International Workshop on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-3893-8
Electronic_ISBN :
978-1-4244-3894-5
DOI :
10.1109/IWISA.2009.5072785
