Conveners
Optimization and Control
- Zoran Tomljanović
Structural optimization involves strategically arranging certain materials within a structure to enhance its properties with respect to some optimality criteria. This optimization typically entails minimizing or maximizing an integral functional, which depends on the rearrangement of materials within the domain, and the solution of a partial differential equation that models the underlying...
We focus on addressing optimal design challenges involving second-order elliptic partial differential equations. Our objective is to determine the optimal outer shape of the domain and the distribution of two isotropic materials within the domain, considering predetermined amounts, to minimize a given functional. The optimization algorithm employed in this study integrates the homogenization...
We consider the solution of sequences of parametrized Lyapunov equations. Solutions of such equations can be encountered in many application settings, and they are often intermediate steps of an overall procedure whose main goal is the computation of quantities of the form $f(X)$ where $X$ denotes the solution of a Lyapunov equation.
We are interested in addressing problems where the...
We consider damping optimization for vibrating systems described by
a second-order differential equation. The goal is to determine position and viscosity
values of the dampers in the system such that the system produces the lowest total
average energy. We propose new framework using relaxed weighted $l_1$ minimization
and pruning techniques to determine the number and positions of the...
