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Mixed control of vibrational systems
Author(s) -
Nakić Ivica,
Tomljanović Zoran,
Truhar Ninoslav
Publication year - 2019
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201800328
Subject(s) - norm (philosophy) , invariant (physics) , stack (abstract data type) , molecular vibration , nonlinear system , control theory (sociology) , control (management) , computer science , mathematics , physics , quantum mechanics , molecule , artificial intelligence , political science , law , programming language
We consider new performance measures for vibrational systems based on the H 2 norm of linear time invariant systems. New measures will be used as an optimization criterion for the optimal damping of vibrational systems. We consider both theoretical and concrete cases in order to show how new measures stack up against the standard measures. The quality and advantages of new measures as well as the behaviour of optimal damping positions and corresponding damping viscosities are illustrated in numerical experiments.

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