Minimization of the trace of the solution of Lyapunov equation connected with damped vibrational systems
Nakić, Ivica
Mathematical Communications, Tome 18 (2013) no. 1, p. 219-229 / Harvested from Mathematical Communications
Text on Mathematical Communications
Our aim is to optimize the damping of a linear vibrating system. As theoptimality criterion we use the one where the penalty function is given as the average total energy over all initial states of unit energy, which is equal to the trace of the corresponding Lyapunov solution multiplied by a matrix corresponding to the chosen measure on the set of initial states. We solve this optimization problem and show that the optimal damping matrix corresponds to the so-called modal critical damping.
Publié le : 2013-05-04
Classification:  
@article{mc239,
     author = {Naki\'c, Ivica},
     title = {Minimization of the trace of the solution of Lyapunov equation connected with damped vibrational systems},
     journal = {Mathematical Communications},
     volume = {18},
     number = {1},
     year = {2013},
     pages = { 219-229},
     language = {eng},
     url = {http://dml.mathdoc.fr/item/mc239}
}

Nakić, Ivica. Minimization of the trace of the solution of Lyapunov equation connected with damped vibrational systems. Mathematical Communications, Tome 18 (2013) no. 1, pp.  219-229. http://gdmltest.u-ga.fr/item/mc239/