The boundary controllability for abstract wave equations and its applications
Veli Shakhmurov
TL;DR
This paper investigates the exact boundary controllability of coupled abstract wave equations, providing conditions for controllability and characterizing the set of states that can be reached through boundary control.
Contribution
It introduces a Kalman type condition for controllability and describes the attainable set for coupled abstract wave equations with boundary control.
Findings
Established a Kalman type controllability condition
Characterized the attainable set for the system
Extended controllability results to coupled abstract wave equations
Abstract
The paper is devoted to the exact controllability of a system of coupled abstract wave equations when the control is exerted on a part of the boundary by means of one control. We give a Kalman type condition and give a description of the attainable set.
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Taxonomy
TopicsStability and Controllability of Differential Equations · Advanced Mathematical Modeling in Engineering · Advanced Mathematical Physics Problems