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math.OC2018★ 4 cited
Pareto optimization of resonances and minimum-time control
Illya M. Karabash, Herbert Koch, Ievgen V. Verbytskyi
The aim of the paper is to reduce one spectral optimization problem, which involves the minimization of the decay rate of a resonance , to a collection of…
math.OC2015★ 6 cited
Nonlinear bang-bang eigenproblems and optimization of resonances in layered cavities
Illya M. Karabash, Olga M. Logachova, Ievgen V. Verbytskyi
Quasi-normal-eigenvalue optimization is studied under constraints on structure functions of 2-side open optical or mechanical resonators. We prove…