Journal
SIAM JOURNAL ON CONTROL AND OPTIMIZATION
Volume 48, Issue 6, Pages 3962-3974Publisher
SIAM PUBLICATIONS
DOI: 10.1137/080739161
Keywords
distributed bilinear systems; weak stabilization; exponential stabilization; optimal control
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This paper considers feedback stabilization for the infinite-dimensional bilinear system dz(t)/dt = Az(t) + v(t) Bz(t), where A is the infinitesimal generator of a linear C(0)-semigroup of contractions on a Hilbert space H and B : H -> H is a linear bounded operator. Sufficient conditions for exponential and weak stabilization are given. A minimization problem is also considered. Applications to parabolic and hyperbolic equations are presented.
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