Exact null-controllability of interconnected abstract evolution systems by scalar force motion
B. Shklyar
TL;DR
This paper investigates the exact null-controllability of interconnected abstract evolution systems, providing conditions for controllability and applying these results to heat and wave equation systems.
Contribution
It introduces new controllability conditions for interconnected systems and demonstrates their application to heat and wave equations.
Findings
Controllability conditions for interconnected systems derived
Application to heat and wave equations shown
Framework for analyzing interconnected control systems established
Abstract
The paper deals with exact null-controllability problem for a linear control system consisting of two serially connected abstract control systems. Controllability conditions are obtained. Applications to the exact null-controllability for interconnected control system of heat and wave equations are considered.
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Taxonomy
TopicsStability and Controllability of Differential Equations · Differential Equations and Boundary Problems · Elasticity and Wave Propagation