Feedback stabilization of distributed semilinear control systems |
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| Authors: | J. M. Ball M. Slemrod |
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| Affiliation: | (1) Department of Mathematics, Heriot-Watt University, EH14 4AS Edinburgh, UK;(2) Department of Mathematical Sciences, Rensselaer Polytechnic Institute, 12181 Troy, N.Y., USA |
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| Abstract: | This paper considers feedback stabilization for the semilinear control system HereA is the infinitesimal generator of a linearC0 semigroup of contractions on a Hilbert spaceH andB : H  H is a nonlinear operator. A sufficient condition for feedback stabilization is given and applications to hyperbolic boundary value problems are presented.This research was sponsored in part by grant no. MCS76-07012 from the U.S. National Science Foundation. |
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