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Controllability and stabilizability of distributed bilinear systems: Recent results and open problems

Ball, J. M. and Marsden, J. E. and Slemrod, M. (1980) Controllability and stabilizability of distributed bilinear systems: Recent results and open problems. In: Winter Annual Meeting of the American Society of Mechanical Engineers, November 16-21, 1980, Chicago, Illinois.

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This paper describes recent results for controlling and stabilizing control systems of the form ú(t) = Au(t) + p(t) B(u(t)) where A is the infinitesimal generator C∞ semigroup on a Banach space X, B' map from X into X, and p(t) is a real valued control. Application to a vibrating beam problem is given for illusstration of the theory.

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Additional Information:Contributed by the Dynamic Systems & Control Division of The American Society of Mechanical Engineers for presentation at the Winter Annual Meeting. November 16-21, 1980. Chicago, Illinois. Manuscript received at ASME Headquarters July 12, 1980. Copies will be availablet until August 1, 1981. The work of J. M. Ball and J. E. Marsden was supported by grants from the U. S. Army and National Science Foundation at the University of California, Berkeley. M. Slemrod was supported by a grant from the National Science Foundation.
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Issue or Number:80-WA/DSC-27
Record Number:CaltechAUTHORS:20101028-115829555
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:20586
Deposited By: Ruth Sustaita
Deposited On:02 Dec 2010 23:46
Last Modified:03 Oct 2019 02:12

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