Stability of Gyroscopic Systems with Respect to Perturbations
In this chapter, we are interested in evaluating robustness of a given stable gyroscopic system with respect to perturbations. In order to do this, we present an ODE-based methodology which aims to compute the closest unstable gyroscopic system with respect to the Frobenius distance.
A few examples illustrate the effectiveness of the methodology.
KeywordsStability of gyroscopic systems Robust stability Structured matrix nearness problems Matrix ODEs
N. Guglielmi thanks the Italian M.I.U.R. and the INdAM GNCS for financial support and also the Center of Excellence DEWS.
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