Showing math.OCShow all
3 papers · 1 filter
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.OC2025
The tangent cone to the real determinantal variety: various expressions and a proof
Guillaume Olikier, Petar Mlinarić, P. -A. Absil +1
The set of real matrices of upper-bounded rank is a real algebraic variety called the real generic determinantal variety. An explicit description of the tangent cone to that variet…
math.OC2024
Interpolatory Necessary Optimality Conditions for Reduced-order Modeling of Parametric Linear Time-invariant Systems
Petar Mlinarić, Peter Benner, Serkan Gugercin
Interpolatory necessary optimality conditions for -optimal reduced-order modeling of non-parametric linear time-invariant (LTI) systems are known and well-investigat…