Year: 2013
Type: preprint
Abstract: We study the well-posedness of a linear control system $Σ(A,B,C,D)$ with unbounded control and observation operators. To this end we associate to our system an operator matrix $\mathcal{A}$ on a product space $\mathcal{X}^p$ and call it $p$-well-posed if $\mathcal{A}$ generates a strongly continuous semigroup on $\mathcal{X}^p$. Our approach is based on the Laplace transform and Fourier multipliers.
Source: arXiv (Cornell University)
Authors: Bombieri, Miriam, Engel, Klaus-Jochen
Institution: University of L'Aquila
Language: English
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2952712719