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Feedback stabilization of distributed semilinear control systems (1979)

Ball, J. M. ; Slemrod, M.

Springer

Applied mathematics & optimization 5 (1979), S. 169-179

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ISSN: 1432-0606

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract This paper considers feedback stabilization for the semilinear control system $$\dot u(t) = Au(t) + \upsilon (t)B(u(t)).$$ HereA is the infinitesimal generator of a linearC 0 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01442552

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