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arXiv · 1912.00644

Stability radius for infinite-dimensional interconnected systems

Birgit Jacob·Sebastian Möller·Christian Wyss
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Abstract

The stability radius for finitely many interconnected linear exponentially stable well-posed systems with respect to static perturbations is studied. If the output space of each system is finite-dimensional, then a lower bound for the stability radius in terms of the norm of the corresponding transfer functions is given. Moreover, for regular linear systems with zero feedthrough operator and finite-dimensional output spaces a formula for the stability radius is developed.

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Birgit Jacob, Sebastian Möller, Christian Wyss. 2019-12-02. Stability radius for infinite-dimensional interconnected systems. https://arxiv.org/abs/1912.00644

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