3 papers
math.OC2025
Optimal Damping for the 1D Wave Equation Using a Single Damper
Petar Mlinarić, Serkan Gugercin, Zoran Tomljanović
Vibrational structures are susceptible to catastrophic failures or structural damages when external forces induce resonances or repeated unwanted oscillations. One common mitigatio…
math.OC2023
Finite time horizon mixed control of vibrational systems
Ivica Nakić, Marinela Pilj Vidaković, Zoran Tomljanović
We consider a vibrational system control problem over a finite time horizon. The performance measure of the system is taken to be -mixed norm which generalizes the standar…
math.NA2023
Efficient solution of sequences of parametrized Lyapunov equations with applications
Davide Palitta, Zoran Tomljanović, Ivica Nakić +1
Sequences of parametrized Lyapunov equations can be encountered in many application settings. Moreover, solutions of such equations are often intermediate steps of an overall proce…