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Some second-order vibrating systems cannot tolerate small time delays in their damping
Authors:R. Datko  Y. C. You
Affiliation:(1) Department of Mathematics, Georgetown University, Washington, DC;(2) Department of Mathematics, University of South Florida, 33620 Tampa, Florida
Abstract:We show that certain infinite-dimensional damped second-order systems of linear differential equations become unstable when arbitrarily small time delays occur in the damping.
Keywords:Time delays  vibrating systems  infinite-dimensional second-order systems  stabilization
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