@inproceedings{4b082582b03b4e8d8dc625a899842fe5,
title = "Polynomial Lyapunov Functions for Consensus of Multi-agent Systems via PD control",
abstract = "This paper investigates the consensus problem of multi-agent systems under the proportional-derivative (PD) control protocol. It devises an automatic search algorithm for the polynomial Lyapunov functions beyond the conventional quadratic form. With a relaxation of Lipschitz-like condition, a criterion is established for consensus of multi-agent systems via the PD control. Then, the relaxed nonnegativity conditions can be transformed into the sum-of-squares conditions for polynomial systems. And the polynomial Lyapunov functions are then obtained by solving the sum-of-squares optimization problem within the convex programming framework, which can be addressed efficiently in polynomial time. Finally, a numerical example is presented to verify the effectiveness of the proposed algorithm.",
keywords = "Multi-agent systems, PD control, Polynomial Lyapunov functions, Sum-of-squares",
author = "Shuyuan Zhang and Lei Wang and Wang, \{Qing Guo\}",
note = "Publisher Copyright: {\textcopyright} 2021 IEEE.; 10th International Conference on Control, Automation and Information Sciences, ICCAIS 2021 ; Conference date: 14-10-2021 Through 17-10-2021",
year = "2021",
doi = "10.1109/ICCAIS52680.2021.9624502",
language = "英语",
series = "10th International Conference on Control, Automation and Information Sciences, ICCAIS 2021 - Proceedings",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "153--158",
booktitle = "10th International Conference on Control, Automation and Information Sciences, ICCAIS 2021 - Proceedings",
address = "美国",
}