Region aggregation analysis for multi-agent networks with multi-equilibria in multi-dimensional coordinate systems via switching strategies

This paper addresses region aggregation issues of multi-agent networks (MANs) that consist of finite number of isolated sub-multi-agent systems (sub-MASs) with multiple equilibria (ME) in multi-dimensional coordinate systems (MDCSs). To investigate aggregation of this kind of MANs via switching strategies, switched systems with ME are used to describe such networks under the case that each agent has a unique equilibrium point and all the equilibria are different from each other. Based on the novel stability concepts of region stability (RS) and exponential region stability (ERS) introduced, this paper proposes several RS and ERS results for sub-MASs with ME via the maximum energy function method, and then presents several region aggregation results for such MANs under three suitable assumptions. Also, a numerical example illustrates the effectiveness and practicality of our new results.