Optimal Damping of Vibrational Systems
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Optimal Damping of the Infinite-dimensional Vibrational Systems: Commutative Case
In this paper we treat the case of an abstract vibrational system of the form Mẍ + Cẋ + x = 0, where the positive semi-definite selfadjoint operators M and C commute. We explicitly calculate the solution of the corresponding Lyapunov equation which enables us to obtain the set of optimal damping operators, thus extending already known results in the matrix case.
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تاریخ انتشار 2002