We consider an optimization problem related to semi-active damping of vibrating systems.
The main problem is to determine the best damping matrix able to minimize influence of the …

We consider new performance measures for vibrational systems based on the H2 norm of
linear time invariant systems. New measures will be used as an optimization criterion for the …

The existing direct sensitivity analysis of optimal structural vibration control based on
Lyapunov's second method is computationally expensive when applied to finite element …

We consider the reduction of parametric families of linear dynamical systems having an
affine parameter dependence that allow for low-rank variation in the state matrix. Usual …

We consider a mechanical system excited by external force. Model of such a system is
described by the system of ordinary differential equations: M x¨(t)+ D x ̇ (t)+ Kx (t)= f ˆ (t) …

Sequences of parametrized Lyapunov equations can be encountered in many application
settings. Moreover, solutions of such equations are often intermediate steps of an overall …

Sažetak This paper deals with damping optimization of the mechanical system based on the
minimization of the so-called" average displacement amplitude". Further, we propose three …

We consider a mechanical system excited by a periodic external force. The main problem is
to determine the best damping matrix to be able to minimize the system average …

In this article, we consider vibrational systems with semi-active damping that are described
by a second-order model. In order to minimize the influence of external inputs to the system …

This paper contributes to the perturbation theory for parameter dependent quadratic
eigenvalue problems (PQEP). Specifically, we derive an approximate perturbation bound …