%0 Conference Paper
%A Rapisarda, Paolo
%A Rocha, Paula
%B Mathematical Theory of Networks and Systems(MTNS 2012) (08/07/12 - 12/07/12)
%D 2012
%F soton:341566
%T Positive realness and Lyapunov functions for switched behaviors
%U https://eprints.soton.ac.uk/341566/
%X We define a switched behavioral system as a finite bank of linear differential behaviors, together with some gluing conditions relating the system variables and their derivatives before and after each switching instant. The behaviors of the switched system do not necessarily share the same state space, differently from the classical state-space setting. We present a sufficient condition for the existence of a switched Lyapunov function for two scalar switched behavioral systems, and formulas to compute it. Instrumental in our results is the notion of positive-realness of a rational function associated with the polynomials describing the system