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Gyroscopically Stabilized Systems: A Class Of Quadratic Eigenvalue Problems With Real Spectrum
Abstract Eigenvalue problems for selfadjoint quadratic operator polynomials L(λ ) = Iλ 2 + Bλ + C on a Hilbert space H are considered where B, C ∈ℒ( H ), C >0, and |B| ≥ kI + k -l C for some k > 0. It is shown that the …