Abstract
The multiagent system has the advantages of simple structure, strong function, and cost saving, which has received wide attention from different fields. Consensus is the most basic problem in multiagent systems. In this paper, firstly, the problem of partial component consensus in the first-order linear discrete-time multiagent systems with the directed network topology is discussed. Via designing an appropriate pinning control protocol, the corresponding error system is analyzed by using the matrix theory and the partial stability theory. Secondly, a sufficient condition is given to realize partial component consensus in multiagent systems. Finally, the numerical simulations are given to illustrate the theoretical results.
Highlights
In recent years, the theory of consistency, as the basis of coordinated control of multiagent system, has attracted extensive attention from many researchers [1,2,3]
The consistency of the discrete multiagent systems is that the state of all agents in a discrete system model can achieve asymptotic convergence under certain conditions
Xie Dongmei and Wang Shaokun considered the consensus of second-order discrete-time multiagent systems with fixed topology in [15]
Summary
The theory of consistency, as the basis of coordinated control of multiagent system, has attracted extensive attention from many researchers [1,2,3]. Cao Yanfen and Sun Yuangong discussed consensus of discrete-time third-order multiagent systems in directed networks in [17]. Xu Xiaole et al investigated the leader-following consensus problem of discrete-time multiagent systems through Lyapunov method in [19]. The consistency of discrete multiagent systems has more advantages than continuous multiagent systems It can reduce a lot of computation, and the speed of convergence is fast and so on. We discuss the partial component consistency of discrete leaderfollowing multiagent system. The remainder of this paper is organized as follows: Section 2 contains the problem statement and preliminaries; Section 3 presents the main result about the partial component consistency of discrete leader-following multiagent system; Section 4 provides a numerical example. Mathematical Problems in Engineering to verify the effectiveness of the proposed results; Section 5 offers concluding remarks
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