Title :
The computation of common Lyapunov functions via Nonsmooth Newton method
Author_Institution :
Sch. of Sci., Ningbo Univ. of Technol., Ningbo, China
Abstract :
This paper studies common quadratic Lyapunov functions for a finite number of linear time invariant systems. We present Newton method which can find common quadratic Lyapunov functions for a number of stable linear systems, and a numerical example is given to illustrate our result.
Keywords :
Lyapunov methods; Newton method; linear systems; stability; common quadratic Lyapunov function; linear time invariant systems; nonsmooth Newton method; stable linear systems; Linear systems; Lyapunov methods; Newton method; Switched systems; Switches; Symmetric matrices; Common quadratic Lyapunov function; Matrix functions; Nonsmooth Newton method; switched systems;
Conference_Titel :
Mechatronics and Control (ICMC), 2014 International Conference on
Print_ISBN :
978-1-4799-2537-7
DOI :
10.1109/ICMC.2014.7231789
