# Well-posedness and stability of non-autonomous semilinear input-output systems

## TL;DR

This paper proves well-posedness and stability for non-autonomous semilinear input-output systems using scattering-passivity, covering distributed and boundary control cases, with applications to collocated and port-Hamiltonian systems.

## Contribution

It introduces new well-posedness results for non-autonomous semilinear systems based on scattering-passivity assumptions, applicable to various control configurations.

## Key findings

- Established well-posedness for non-autonomous semilinear systems
- Proved stability under scattering-passivity conditions
- Applied results to collocated and port-Hamiltonian systems

## Abstract

We establish well-posedness results for non-autonomous semilinear input-output systems, the central assumption being the scattering-passivity of the considered semilinear system. We consider both systems with distributed control and observation and systems with boundary control and observation. Applications are given to nonlinearly controlled collocated systems and to nonlinearly controlled port-Hamiltonian systems.