期刊
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
卷 67, 期 2, 页码 1016-1022出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2021.3081621
关键词
Synchronization; Switches; Stochastic processes; Robot sensing systems; Topology; Network topology; Probability distribution; Finite-field networks (FFNs); multiagent systems; stochastic switching; synchronization
资金
- National Natural Science Foundation of China [61573096, 61833005]
- Jiangsu Provincial Key Laboratory of Networked Collective Intelligence [BM2017002]
This article investigates the application of finite-field networks (FFNs) in multiagent systems and introduces the concept of stochastic FFNs (SFFNs), which switch among different modes based on independently and identically distributed processes. The definitions of asymptotic synchronization with probability one, finite-time synchronization, and fixed-time synchronization of SFFNs are presented. The necessary and sufficient conditions for asymptotic synchronization and fixed-time synchronization are derived based on transition graph and network matrix. Interesting characteristics of synchronous SFFNs are revealed compared to logical networks and real-valued networks. The relations among asymptotic synchronization, fixed-time synchronization, finite-time synchronization, and the synchronization of each mode are established.
Finite-field networks (FFNs) are an effective type of models to characterize the multiagent systems with limited computation, communication, and memory capabilities. In this article, we term the FFNs, which switch among a collection of modes with respect to an independently and identically distributed process, as the stochastic FFNs (SFFNs). Subsequently, the concepts of asymptotic synchronization with probability one (asymptotic SPO), finite-time SPO, and fixed-time SPO of SFFNs are, respectively, introduced. Moreover, a series of necessary and sufficient conditions is, respectively, derived for asymptotic SPO and fixed-time SPO on the basis of transition graph and network matrix. Compared with the existing results in logical networks and real-valued networks, several interesting characteristics of a synchronous SFFN are revealed. Furthermore, the relations among asymptotic SPO, fixed-time SPO, finite-time SPO, and the synchronization of each mode are established.
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