Year: 2026
Type: article
Abstract: The paper presents an extension of discrete $2\mathrm{D}$ systems of Roesser and Fornasini–Marchesini types for the continuous case. Formulas for solution representation of linear continuous $2\mathrm{D}$ systems are obtained, including the possibility of expanding the methods of operational calculus by constructing corresponding integral transformations with respect to the spatial variable. Some linear-quadratic optimization problems are considered and the corresponding optimality conditions based on the operator setting are stated. Also, some form of the optimal control representation is presented.
Authors: M. P. Dymkov, V. M. Dymkou
Institution: Belarusian State Economic University
Language: English
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W7225595330