Existence and uniqueness of solutions for a class of piecewise linear dynamical systems

We consider the class of dynamical systems that arises when inputs and outputs of a linear system are connected pairwise by means of piecewise linear algebraic relations. It is not assumed that these relations define inputs in terms of outputs or vice versa; in particular, the relations need not be Lipschitzian. We obtain conditions for existence and uniqueness of solutions of such dynamical systems in the class of piecewise Bohl functions. (C) 2002 Elsevier Science Inc. All rights reserved