Coordination for Antagonistic Impulsive Network Systems
Yan Zhang, Ye Liu · 2021 International Conference on Control, Automation and Information Sciences (ICCAIS) · 2021
We are dedicated to the coordination problem for first-order multi-agent systems with antagonistic interaction, using impulsive based control rule. Specifically, two scenarios shall be discussed, i.e., 1) agents interact with associated neighbors at impulsive instants, and 2) apart from continuous interactions, agents are affected by impulsive influence. We start with the descriptions on the antagonistic information by using some nonzero scaling parameters, at which positive value suggests cooperative information, and antagonistic otherwise. Along with the avenue, a requirement guaranteeing the underlying matrix assures a simple zero eigenvalue while the remaining eigenvalues preserving positive real parts, is induced. Then, we give conditions guaranteeing the coordination for these two cases just mentioned, even if the presence of antagonistic information, by Ieveraae of the notion on average impulsive interval.