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

Published 31 Jan 2019 in math.FA | (1901.11348v1)

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.

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