S.M. Shahruz, Ali Imam
Abstract
In this note, we prove that the displacement of a linearly damped string under bounded distributed forces is bounded. The proof is achieved by showing that an energy-like (Lyapunov) function of the string is bounded.
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In this note, we prove that the displacement of a linearly damped string under bounded distributed forces is bounded. The proof is achieved by showing that an energy-like (Lyapunov) function of the string is bounded.
Key concepts: Bounded function, String (physics), Bounded deformation, Lyapunov function, Displacement (psychology), Mathematics, Bounded operator, Stability (learning theory)