面向多项式沉浸的 Port-Hamiltonian 系统
地球与行星天体物理
2026-03-12 v1
摘要
Port-Hamiltonian（pH）系统提供了一种高度结构化和基于能量的模块化控制系统框架。许多 pH 系统具有非多项式非线性。我们考虑将此类系统沉浸到更高维度的多项式表示中的问题。我们证明了在系统轨迹上，诸如内部互连几何、能量平衡关系（包括被动性供给率）以及能量耗散等关键特征均被保留。我们展示了升维后的系统如何通过结合二次型（sum-of-squares）优化与被动性控制概念来设计稳定反馈律。我们借助多个实例阐述了我们的发现。
引用
@article{arxiv.2603.10905,
title = {TOI-4616 b: a benchmark Earth-sized planet transiting a nearby M4 dwarf},
author = {F. Zong Lang and B. O. Demory and Y. Gomez Maqueo Chew and Y. Schmid and M. Timmermans and F. J. Pozuelos and M. Gillon and Artem Y. Burdanov and Benjamin V. Rackham and Didier Queloz and Keivan G. Stassun and Khalid Barkaoui and Amaury Triaud and Julien de Wit and S. Zuniga-Fernandez and A. J. Burgasser and Elsa Ducrot and Madison G. Scott and D. Sebastian and A. Soubkiou and M. Lendl and I. Plauchu-Frayn and U. Schroffenegger and Erik Meier V. and P. Pedersen and A. Khandelwal and Roman Gerasimov and C. Aganze and Chih-Chun Hsu and J. M. Jenkins and Aishwarya R. Iyer and C. Watkins and C. A. Theissen and K. A. Collins and H. P. Osborn and A. Shporer and Claudia Jano Munoz and Toshi Suganuma and Norio Narita and Akihiko Fukui and F. Murgas and J. de Leon and Enric Palle and Yasmin Davis and D. Kitzmann and M. Pichardo Marcano and M. J. Hooton},
journal= {arXiv preprint arXiv:2603.10905},
year = {2026}
}
备注
Submitted to MNRAS, 22 pages, 24 figures, 3 tables