engleski

Minimization of the trace of the solution of Lyapunov equation connected with damped vibrational systems

Our aim is to optimize the damping of a linear vibrating system. The penalty function is the average total energy, which is equal to the trace of the corresponding Lyapunov solution multiplied with a matrix corresponding to the chosen measure on the set of initial states. We explicitly calculate the optimal damping, which is shown to be taken on the so-called modal critical damping.

damped vibrational systems ; optimal damping

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