Linear Copositive Lyapunov Functions for Continuous-Time Positive Switched Systems

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.