Linear passive systems and maximal monotone mappingsCamlibel, M. K. & Schumacher, J. M. Jun-2016 In : Mathematical Programming. 157, 2, p. 397-420 24 p.
Research output: Scientific - peer-review › Article
This paper deals with a class of dynamical systems obtained from interconnecting linear systems with static set-valued relations. We first show that such an interconnection can be described by a differential inclusions with a maximal monotone set-valued mappings when the underlying linear system is passive and the static relation is maximal monotone. Based on the classical results on such differential inclusions, we conclude that such interconnections are well-posed in the sense of existence and uniqueness of solutions. Finally, we investigate conditions which guarantee well-posedness but are weaker than passivity.
|Number of pages||24|
|State||Published - Jun-2016|
- DYNAMICAL-SYSTEMS, COMPLEMENTARITY SYSTEMS, VARIATIONAL-INEQUALITIES, DIFFERENTIAL-INCLUSIONS, ABSOLUTE STABILITY, RELAY SYSTEMS, UNIQUENESS, NETWORKS