# Well-posedness of infinite-dimensional non-autonomous passive boundary control systems

## TL;DR

This paper investigates the well-posedness of non-autonomous boundary control systems governed by PDEs, providing conditions for existence and uniqueness of solutions in infinite-dimensional settings.

## Contribution

It offers new sufficient conditions for well-posedness of non-autonomous boundary control systems with multiplicative perturbations, applicable to PDE models like wave equations and beams.

## Key findings

- Established criteria for well-posedness of non-autonomous boundary systems
- Proved existence and uniqueness of classical and mild solutions
- Applicable to PDEs such as wave equations and Timoshenko beams

## Abstract

We study a class of non-autonomous boundary control and observation linear systems that are governed by non-autonomous multiplicative perturbations. This class is motivated by different fundamental partial differential equations, such as controlled wave equations and Timoshenko beams. Our main results give sufficient condition for well-posedness, existence and uniqueness of classical and mild solutions.