Consensus of hybrid multi-agent systems with heterogeneous dynamics

ABSTRACT

This paper addresses the consensus problems for two kinds of hybrid multi-agent systems. The first kind of hybrid multi-agent system is composed of first-order discrete-time and second-order continuous-time dynamical agents. Based on different interactive modes, two effective protocols are presented for the hybrid multi-agent system, respectively. By using graph theory and system transformation method, some criteria are obtained for solving the consensus problem. The second one consists of first-order continuous-time and second-order discrete-time dynamical agents. The effective protocols are also proposed to guarantee the consensus. Meanwhile, the necessary and sufficient conditions are established for solving the consensus problem. Simulation examples are provided to demonstrate the effectiveness of theoretical results.

KEYWORDS:

• Consensus
• hybrid multi-agent system
• discrete-time
• continuous-time
• heterogeneous

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by National Natural Science Foundation of China (NSFC) [grant numbers 61773303, 61703325 and 61751301], the Fundamental Research Funds for the Central Universities [grant numbers JB180409 and JBF180402], Shaanxi Provincial Natural Science Foundation of China [grant number 2018JQ6058] and the Young Talent Fund of University Association for Science and Technology in Shaanxi of China [grant number 20160208].