Behavioral Inequalities
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866917974151004160 |
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| author | Bandyopadhyay, Soutrik Pal, Debasattam Bhasin, Shubhendu |
| author_facet | Bandyopadhyay, Soutrik Pal, Debasattam Bhasin, Shubhendu |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_01437 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Behavioral Inequalities Bandyopadhyay, Soutrik Pal, Debasattam Bhasin, Shubhendu Systems and Control 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. |
| title | Behavioral Inequalities |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2504.01437 |