Glasnik matematički, Vol. 48 No. 2, 2013.
Original scientific paper
https://doi.org/10.3336/gm.48.2.10
Optimal damping of the infinite-dimensional vibrational systems: commutative case
Ivica Nakić
orcid.org/0000-0001-6549-7220
; Department of Mathematics, University of Zagreb, 10 000 Zagreb, Croatia
Abstract
In this paper we treat the case of an abstract vibrational system of the form Mx″+Cx′+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.
Keywords
Vibrational systems; damping; Lyapunov equation
Hrčak ID:
112214
URI
Publication date:
16.12.2013.
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