3 papers
math.OC2026
The tangent cone to the real determinantal variety: various expressions and a proof
Guillaume Olikier, Petar MlinariÄ, 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.OC2025
Optimal Damping for the 1D Wave Equation Using a Single Damper
Petar MlinariÄ, Serkan Gugercin, Zoran TomljanoviÄ
Vibrational structures are susceptible to catastrophic failures or structural damages when external forces induce resonances or repeated unwanted oscillations. One common mitigatio…
math.OC2024
Interpolatory Necessary Optimality Conditions for Reduced-order Modeling of Parametric Linear Time-invariant Systems
Petar MlinariÄ, 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…