Continuous-time positive systems, switching among 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.
Linear Copositive Lyapunov Functions for Continuous-Time Positive Switched Systems
FORNASINI, ETTORE;VALCHER, MARIA ELENA
2010
Abstract
Continuous-time positive systems, switching among 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.
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