Approximate boundary synchronization by groups for a coupled system of wave equations with coupled Robin boundary conditions

TL;DR

This paper develops a theoretical framework for approximate boundary controllability and synchronization of coupled wave equations with Robin boundary conditions, based on an algebraic characterization of uniqueness of continuation.

Contribution

It introduces a novel algebraic characterization of uniqueness of continuation and applies it to establish approximate controllability and synchronization for coupled wave systems.

Findings

Established algebraic criteria for uniqueness of continuation.

Developed methods for approximate boundary controllability.

Achieved synchronization by groups for coupled wave equations.

Abstract

In this paper, we first give an algebraic characterization of uniqueness of continuation for a coupled system of wave equations with coupled Robin boundary conditions. Then, the approximate boundary controllability and the approximate boundary synchronization by groups for a coupled system of wave equations with coupled Robin boundary controls are developed around this fundamental characterization.