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Published July 12, 1980 | Published
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Controllability and stabilizability of distributed bilinear systems: Recent results and open problems

Abstract

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.

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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Created:
August 19, 2023
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October 20, 2023