Title :
Linear Copositive Lyapunov Functions for Continuous-Time Positive Switched Systems
Author :
Fornasini, Ettore ; Valcher, Maria Elena
Author_Institution :
Dip. di Ing. dell´´Inf., Univ. di Padova, Padova, Italy
Abstract :
Continuous-time positive systems, switching among p subsystems, are introduced, and a complete characterization for the existence of a common linear copositive Lyapunov function for all the subsystems is provided. When the subsystems are obtained by applying different feedback control laws to the same continuous-time single-input positive system, the above characterization leads to a very easy checking procedure.
Keywords :
Lyapunov methods; asymptotic stability; continuous time systems; feedback; continuous time positive switched system; continuous time single input positive system; feedback control law; linear copositive Lyapunov function; Biological system modeling; Chemical engineering; Feedback control; Kernel; Linear systems; Lyapunov method; Mathematical model; Stability analysis; Switched systems; Switches; Asymptotic stability; linear (quadratic) copositive Lyapunov function; positive linear system; switched system;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2010.2049918
