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arXiv · 2011.09173

Small-Gain Theorem for Safety Verification of Interconnected Systems

Ziliang Lyu·Xiangru Xu·Yiguang Hong
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Abstract

A small-gain theorem in the formulation of barrier function is developed in this work for safety verification of interconnected systems. This result is helpful to verify input-to-state safety (ISSf) of the overall system from the safety information encoded in the subsystem's ISSf-barrier function. Also, it can be used to obtain a safety set in a higher dimensional space from the safety sets in two lower dimensional spaces.

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Ziliang Lyu, Xiangru Xu, Yiguang Hong. 2020-11-18. Small-Gain Theorem for Safety Verification of Interconnected Systems. https://doi.org/10.1016/j.automatica.2022.110178

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