# Linear passive systems and maximal monotone mappings

@article{amlibel2016LinearPS, title={Linear passive systems and maximal monotone mappings}, author={M. Kanat Çamlibel and Johannes M. Schumacher}, journal={Mathematical Programming}, year={2016}, volume={157}, pages={397-420} }

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…

## 40 Citations

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