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arXiv · 2209.06748

Finite Necessary and Sufficient Stability Conditions for Linear System with Pointwise and Distributed Delays

Alejandro Castaño·Carlos Cuvas·Alexey Egorov·Sabine Mondié
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Abstract

This contribution presents two exponential stability criteria for linear systems with multiple pointwise and distributed delays. These results (necessary and sufficient conditions) are given in terms of the delay Lyapunov matrix and the fundamental matrix of the system. An important property is that the stability test requires a finite number of mathematical operations.

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Alejandro Castaño, Carlos Cuvas, Alexey Egorov, Sabine Mondié. 2022-09-14. Finite Necessary and Sufficient Stability Conditions for Linear System with Pointwise and Distributed Delays. https://arxiv.org/abs/2209.06748

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