Abstract
In this paper, boundary control of the third boundary condition at one end of a string, assuming that the other end is fixed, is studied.
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Il’in, V.A., Boundary Control of Vibrations at Two Ends in Terms of the Generalized Solution to a Wave Equation with the Finite Energy, Diff. Uravn., 2000, vol. 36, no. 11, pp. 1513–1528.
Il’in, V.A., Boundary Control of Vibrations at One Ene with the Other End Being Fixed in Terms of the Generalized Solution to a Wave Equation with the Finite Energy, Diff. Uravn., 2000, vol. 36, no. 12, pp. 1670–1686.
Revo, P.A. and Chabakauri, G.D., Wave Equation with Boundary Control at the Left-Hand End with the Right-Hand End Being Free and Problem of Complete Damping of Vibrations, Diff. Uravn., 2000, vol. 36, no. 6, pp. 806–815.
Nikitin, A.A., Boundary Control of an Elastic Force at One End of a String, Dokl. Akad. Nauk, 2006, vol. 406, no. 4.
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Original Russian Text © A.A. Nikitin, 2007, published in Avtomatika i Telemekhanika, 2007, No. 2, pp. 120–126.
This work was financed by the grant of the President of the Russian Federation for state support of leading scientific schools, project no. 2042.2003.1.
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Nikitin, A.A. Boundary control of the third boundary. Autom Remote Control 68, 320–326 (2007). https://doi.org/10.1134/S0005117907020129
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DOI: https://doi.org/10.1134/S0005117907020129