CONTROLLABILITY FOR THE WAVE EQUATION ON GRAPH WITH CYCLE AND DELTA-PRIME VERTEX CONDITIONS

Avdonin S, Edward J, Leugering G (2023)

Publication Type: Journal article

Publication year: 2023

Journal

Evolution Equations and Control Theory American Institute of Mathematical Sciences (AIMS)

Book Volume: 12

Pages Range: 1542-1558

Journal Issue: 6

DOI: 10.3934/eect.2023025

Abstract

Exact controllability for the wave equation on a metric graph con-sisting of a cycle and two attached edges is proven. One boundary and one internal control are used. At the internal vertices, delta-prime conditions are satisfied. As a second example, we examine a tripod controlled at the root and the junction, while the leaves are fixed. These examples are key to understand-ing controllability properties in general metric graphs.

Authors with CRIS profile

Günter Leugering Naturwissenschaftliche Fakultät

Involved external institutions

University of Alaska Fairbanks US United States (USA) (US) Florida International University US United States (USA) (US)

How to cite

APA:

Avdonin, S., Edward, J., & Leugering, G. (2023). CONTROLLABILITY FOR THE WAVE EQUATION ON GRAPH WITH CYCLE AND DELTA-PRIME VERTEX CONDITIONS. Evolution Equations and Control Theory, 12(6), 1542-1558. https://dx.doi.org/10.3934/eect.2023025

MLA:

Avdonin, Sergei, Julian Edward, and Günter Leugering. "CONTROLLABILITY FOR THE WAVE EQUATION ON GRAPH WITH CYCLE AND DELTA-PRIME VERTEX CONDITIONS." Evolution Equations and Control Theory 12.6 (2023): 1542-1558.

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