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In a multi-objective formulation with criteria such as the maximal deformation of
the elastic object to be protected and maximal forces created by protection devices, a new
class of optimal vibration protection problems is considered. A general approach to solving
these problems based on results of modern control theory using linear matrix inequalities
technique is presented. An example of a solution of two-criteria problem for a high-storey
building under seismic disturbances is given.
Keywords: optimal vibration isolation, multi-criteria problem, linear matrix inequalities, Germeyer convolution |
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