Fundamental response in the vibration control of buildings subject to seismic excitation with ATMD

The linear quadratic regulator for vibration systems subject to seismic excitations is discussed in his own physical newtonian space as a second-order linear differential system with matrix coefficients. The linear quadratic regulator leads to a fourth-order system and second-order transversality co...

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Bibliographic Details
Published inSelecciones matemáticas : revista científica del Departamento Académico de Matemáticas Vol. 10; no. 1; pp. 147 - 157
Main Authors Jara Huanca, Fidel, Rubio Mercedes, Obidio, Ruiz Claeyssen, Julio
Format Journal Article
LanguageEnglish
Published Universidad Nacional de Trujillo 26.07.2023
Subjects
control
Earthquake
fundamental matrix solution
LQR problem
vibrating system
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Summary:The linear quadratic regulator for vibration systems subject to seismic excitations is discussed in his own physical newtonian space as a second-order linear differential system with matrix coefficients. The linear quadratic regulator leads to a fourth-order system and second-order transversality conditions. Those systems are studied with a matrix basis generated by a fundamental matrix solution.
ISSN:2411-1783
2411-1783
DOI:10.17268/sel.mat.2023.01.13