ON THE ANALYSIS AND CONTROL OF HYPERBOLIC SYSTEMS ASSOCIATED WITH VIBRATING NETWORKS

Langnese JE, Leugering G, Schmidt EJPG (1994)

Publication Language: English

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 1994

Journal

Proceedings of the Royal Society of Edinburgh Section A-Mathematics Cambridge University Press (CUP)

Publisher: Cambridge University Press (CUP)

Book Volume: 124

Pages Range: 77-104

URI: https://www.cambridge.org/core/journals/proceedings-of-the-royal-society-of-edinburgh-section-a-mathematics/article/on-the-analysis-and-control-of-hyperbolic-systems-associated-with-vibrating-networks/92C650CDE4C03DF26D6009C6E5B61A6E

DOI: 10.1017/S0308210500029206

Abstract

In this paper a general linear model for vibrating networks of one-dimensional elements is derived. This is applied to various situations including nonplanar networks of beams modelled by a three-dimensional variant on the Timoshenko beam, described for the first time in this paper. The existence and regularity of solutions is established for all the networks under consideration. The methods of first-order hyperbolic systems are used to obtain estimates from which exact controllability follows for networks containing no closed loops.

Authors with CRIS profile

Günter Leugering Lehrstuhl für Angewandte Mathematik

Involved external institutions

McGill University

Canada (CA)

How to cite

APA:

Langnese, J.E., Leugering, G., & Schmidt, E.J.P.G. (1994). ON THE ANALYSIS AND CONTROL OF HYPERBOLIC SYSTEMS ASSOCIATED WITH VIBRATING NETWORKS. Proceedings of the Royal Society of Edinburgh Section A-Mathematics, 124, 77-104. https://dx.doi.org/10.1017/S0308210500029206

MLA:

Langnese, John E., Günter Leugering, and E. J. P. Georg Schmidt. "ON THE ANALYSIS AND CONTROL OF HYPERBOLIC SYSTEMS ASSOCIATED WITH VIBRATING NETWORKS." Proceedings of the Royal Society of Edinburgh Section A-Mathematics 124 (1994): 77-104.

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