Abstract
This paper is devoted to the study of the coordinate stability in undirected networks of dynamical agents with time-varying transmission delay. Neighbor-based rules are adopted to realize local control strategies for these continuous-time autonomous agents. Sufficient and necessary conditions in terms of linear matrix inequalities (LMIs) are given to guarantee the coordination of dynamical agents. Numerical simulations are given and demonstrate that our theoretical results are effective.
Highlights
The coordinate stability of multi-agent systems is an important research topic in engineering applications, including moving in formation for fleets of unmanned aerial vehicles (UAVs), satellite clusters and mobile sensor networks
Saber et al investigated a systematical framework of consensus problem under a variety of assumptions on the network topology, presence or lack of communication delays, and directed or undirected network information flow [3,4]
We discuss the coordinate stability of multi-agent systems where the agent is described by double-integrator with time-varying transmission delay in their communicated network
Summary
The coordinate stability of multi-agent systems is an important research topic in engineering applications, including moving in formation for fleets of unmanned aerial vehicles (UAVs), satellite clusters and mobile sensor networks. The average-consensus problem of agents under continuous-time networks with both switching topology and time-delay is studied in [7,8], where the dynamics order of each agent is one. A leader-following consensus problem for multiple agent with communication transmission time delays is discussed in [9], where the dynamics of each agent is second order. Motivated by [7] and [9], we study the coordinated stability of multi-agent systems where the dynamics of each agent is second order in this paper. The communication transmission time delays of multi-agent systems are varying and the interconnection graph of the agents is undirected.
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