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arXiv · 2105.13950

Reset control systems: the zero-crossing resetting law

Alfonso Baños·Antonio Barreiro
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Abstract

A novel representation of reset control systems with a zero-crossing resetting law, in the framework of hybrid inclusions, is postulated. The problems of well-posedness and stability of the resulting hybrid dynamical system are investigated, with a strong motivation in how non-deterministic behavior is accomplished in control practice. Several stability conditions, based on the eigenstructure of matrices related with periods of the reset interval sequences, and on Lyapunov function-based conditions, are developed.

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Alfonso Baños, Antonio Barreiro. 2021-05-28. Reset control systems: the zero-crossing resetting law. https://arxiv.org/abs/2105.13950

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