2 citations · 2 across the 4 of their papers we have counts for
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Beyond linear subspaces: Nonlinear moment matching meets quadratic manifolds
Reetish Padhi, Serkan Gugercin
Quadratic manifold-based model order reduction offers a viable pathway to circumvent the limitations of linear subspaces for linear control systems characterized by slow Kolmogorov…
Contour integral methods and model order reduction for parametric linear control systems
Serkan Gugercin, Mattia Manucci
This paper introduces a contour integral method (CIM) for efficiently computing outputs of parametric linear systems in control form over specified time intervals and to a user-pre…
From Interpolation to Optimality: Model Reduction for Infinite-Dimensional Linear Control Systems
Cankat Tilki, Tobias Breiten, Serkan Gugercin
We develop the interpolatory optimal model reduction framework for linear control systems posed on infinite dimensional state, input and output spaces. Specifically…
KLAP: KYP lemma based low-rank approximation for -optimal passivation
Jonas Nicodemus, Matthias Voigt, Serkan Gugercin +1
We present a novel passivity enforcement (passivation) method, called KLAP, for linear time-invariant systems based on the Kalman-Yakubovich-Popov (KYP) lemma and the closely relat…
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…
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…