Delay-Induced Containment Control of Second-Order Multi-Agent Systems With Intermittent Sampled Position Data

Abstract

In this paper, the intermittent containment control problem of second-order multi-agent systems with sampled position data is investigated. Under the case that the velocity measurements are inaccurate or unavailable, a novel intermittent containment control protocol is designed based on both the current and delayed sampled position datum. A necessary and sufficient condition depending upon the coupling strengths, the spectrum of the Laplacian matrix, the communication width, the sampling period and the time delay, is derived for achieving second-order intermittent containment control. Finally, numerical simulations are presented to demonstrate the efficiency of theoretical results. INDEX TERMS Containment control, multi-agent systems, delay-induced, intermittent communication, sampled position data. ZHONGXIN LIU (Member, IEEE) received the B.S. degree in automation and the Ph.D. degree in control theory and control engineering from Nankai University, Tianjin, China, in 1997 and 2002, respectively. He has been with Nankai University, where he is currently a Professor with the Department of Automation. His main areas of research are in predictive control, complex networks, and multiagents systems. ZENGQIANG CHEN received the B.S. degree in mathematics, and the M.S. and Ph.D. degrees in control theory and control engineering from

Non-fragile quasi-synchronization of delayed heterogeneous dynamical networks with memory sampled-data control

“…Thus, the synchronization problem of complex dynamical networks with time delay has raised considerable concern in recent years. In fact, the sampled-data control for complex networks with time delay have been reported in Lu et al (2020); Wang and Tian (2019); Wang et al (2020); Liu and Su, (2019); and Que et al (2019). Lu et al (2020) studied the H ∞ output synchronization of the directed coupled reaction-diffusion neural networks with mixed delays.…”

“…Using the Lyapunov function method, sufficient conditions for the global stability of the system are proposed. Wang et al (2020) investigated the intermittent containment control problem of second-order multi-agent systems with sampled position data. A necessary and sufficient condition depending upon the coupling strengths, the spectrum of the Laplacian matrix, the communication width, the sampling period, and the time delay, is derived for achieving second-order intermittent containment control.…”