Geodesic
On the complete damping of oscillations of an inhomogeneous rod by means of a boundary control at one end
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 2, pp. 88-96
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The process of damping oscillations of a rod consisting of two dissimilar segments and fixed at one end is considered. The damping is carried out by means of a boundary control at the other end of the rod.
Keywords: damping of oscillations, boundary control theory. 
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V. A. Il'in. On the complete damping of oscillations of an inhomogeneous rod by means of a boundary control at one end. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 2, pp. 88-96. http://geodesic.mathdoc.fr/item/TIMM_2011_17_2_a8/

[1] Ilin V. A., “Granichnoe upravlenie protsessom kolebanii na dvukh kontsakh v terminakh obobschennogo resheniya volnovogo uravneniya s konechnoi energiei”, Differents. uravneniya, 36:11 (2000), 1513–1528 | MR

[2] Ilin V. A., “Granichnoe upravlenie protsessom kolebanii na odnom kontse pri zakreplennom vtorom kontse v terminakh obobschennogo resheniya volnovogo uravneniya s konechnoi energiei”, Differentsialnye uravneniya, 36:12 (2000), 1670–1686 | MR

[3] Ilin V. A., “Smeshannaya zadacha, opisyvayuschaya protsess uspokoeniya kolebanii sterzhnya, sostoyaschego iz dvukh uchastkov raznoi plotnosti i uprugosti, pri uslovii sovpadeniya vremeni prokhozhdeniya volny po kazhdomu iz uchastkov”, Trudy matematicheskogo instituta imeni V. A. Steklova, 269, 2010, 133–142 | MR | Zbl

[4] Ilin V. A., “O razreshimosti smeshannykh zadach dlya giperbolicheskogo i parabolicheskogo uravnenii”, Uspekhi mat. nauk, 15:2 (1960), 97–154 | MR | Zbl

[5] Ilin V. A., Izbrannye trudy, v. 1, Maks-Press, M., 2008, 730 pp.

[6] Ilin V. A., “O privedenii v proizvolno zadannoe sostoyanie kolebanii pervonachalno pokoyaschegosya sterzhnya, sostoyaschego iz dvukh raznorodnykh uchastkov”, Dokl. RAN, 435:6 (2010), 732–735 | MR