Behavioral Inequalities
Systems and Control
2025-04-03 v1 Systems and Control
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.
Cite
@article{arxiv.2504.01437,
title = {Behavioral Inequalities},
author = {Soutrik Bandyopadhyay and Debasattam Pal and Shubhendu Bhasin},
journal= {arXiv preprint arXiv:2504.01437},
year = {2025}
}