Dynamic Versus Static Weighting of Lyapunov Functions

Abstract : The relation between static and dynamic Lyapunov functions weighting is discussed. It is shown that, under some technical assumptions, stabilizability by means of static weighting implies stabilizability by means of dynamic weighting. The existence result is illustrated by means of an example which highlights that the design based on dynamic weighting requires less a-priori information on the system to be stabilized.