Well-posedness results for non-autonomous dissipative complementarity systems
Abstract
This paper deals with the well-posedness of a class of nonsmooth dynamical systems: dissipative complementarity systems. Both the linear and the nonlinear cases are treated, and the systems are non-autonomous. The dissipativity property is used to perform a particular change of state vector which allows one to transform the dynamics into a perturbed Moreau's sweeping process. As an example an electrical circuit with ideal diodes is presented.