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arXiv · 2504.01437

Behavioral Inequalities

Soutrik Bandyopadhyay·Debasattam Pal·Shubhendu Bhasin
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Abstract

We introduce behavioral inequalities as a way to model dynamical systems defined by inequalities among their variables of interest. We claim that such a formulation enables the representation of safety-aware dynamical systems, systems with bounds on disturbances, practical design limits and operational boundaries, etc. We develop a necessary and sufficient condition for the existence of solutions to such behavioral inequalities and provide a parametrization of solutions when they exist. Finally, we show the efficacy of the proposed method in two practical examples.

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Soutrik Bandyopadhyay, Debasattam Pal, Shubhendu Bhasin. 2025-04-02. Behavioral Inequalities. https://arxiv.org/abs/2504.01437

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