Abstract
We consider robustness of exponential stability of time-varying linear systems with respect to structured dynamical nonlinear perturbations. Sufficient conditions in terms of L 2-stability are derived. It is shown that the infimum of the complex stability radii of a family of time-invariant linear systems provides a good estimate for the stability radius of a linear time-varying system if time variations are sufficiently slow.
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Ilchmann, A., Mareels, I.M.Y. (2001). On Stability Radii of Slowly Time-Varying Systems. In: Colonius, F., Helmke, U., Prätzel-Wolters, D., Wirth, F. (eds) Advances in Mathematical Systems Theory. Systems & Control: Foundations & Applications. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0179-3_4
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DOI: https://doi.org/10.1007/978-1-4612-0179-3_4
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