Title :
A Constructive Approach to Linear Lyapunov Functions for Positive Switched Systems Using Collatz-Wielandt Sets
Author :
Thai Son Doan ; Kalauch, A. ; Siegmund, Stefan
Author_Institution :
Inst. of Math., Hanoi, Vietnam
Abstract :
We establish the link between linear Lyapunov functions for positive switched systems and corresponding Collatz-Wielandt sets. This leads to an algorithm to compute a linear Lyapunov function whenever a Lyapunov function exists.
Keywords :
Lyapunov methods; linear systems; time-varying systems; Collatz-Wielandt set; constructive approach; linear Lyapunov function; positive switched system; Eigenvalues and eigenfunctions; Lyapunov methods; Standards; Switched systems; Tin; Vectors; Collatz–Wielandt set; linear Lyapunov function; positive switched system;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2012.2209270
