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Stabilization of Infinite-Dimensional Semilinear Systems with Dissipative Drift

Journal Article · · Applied Mathematics and Optimization
DOI:https://doi.org/10.1007/S002459900075· OSTI ID:21064298
In this paper we study feedback stabilization for distributed semilinear control systems x-dot(t)=Ax(t)+u(t)B(x(t)) . Here, A is the infinitesimal generator of a linear C{sub 0} -semigroup of contractions on a real Hilbert space H and 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.
OSTI ID:
21064298
Journal Information:
Applied Mathematics and Optimization, Journal Name: Applied Mathematics and Optimization Journal Issue: 2 Vol. 37; ISSN 0095-4616
Country of Publication:
United States
Language:
English

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