In this paper we consider discrete-time piecewise affine hybrid systems with boolean inputs, outputs and states and show that they can be represented in a logic canonical form where the logic variables influence the switching between different submodels but not the continuousvalued dynamics. We exploit this representation for studying Lagrange stability and developing performance analysis procedures based on linear matrix inequalities. Moreover, by using arguments from dissipativity theory for

more »

... onlinear systems, we generalize our approach to solve the H ∞ analysis problem.