Abstract
In this paper we study feedback stabilization for distributed semilinear control systems \(\dot{x}(t) = Ax(t) + u(t){\cal B}(x(t))\) . Here, A is the infinitesimal generator of a linear C 0 -semigroup of contractions on a real Hilbert space H and \({\cal B}\) is a nonlinear operator on H into itself. A sufficient ad-condition is provided for strong feedback stabilization. The result is illustrated by means of partial differential systems.
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