Matrix analysis
Digital Control of Dynamic Systems
Digital Control of Dynamic Systems
Distributed average consensus with least-mean-square deviation
Journal of Parallel and Distributed Computing
Consensus Based Formation Control and Trajectory Tracing of Multi-Agent Robot Systems
Journal of Intelligent and Robotic Systems
Journal of Intelligent and Robotic Systems
Sampled-data formation control under dynamic directed interaction
ACC'09 Proceedings of the 2009 conference on American Control Conference
Multi-Agent Consensus Using Both Current and Outdated States with Fixed and Undirected Interaction
Journal of Intelligent and Robotic Systems
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Brief paper: Leader-following consensus of second-order agents with multiple time-varying delays
Automatica (Journal of IFAC)
Distributed consensus for multi-agent systems with delays and noises in transmission channels
Automatica (Journal of IFAC)
A New Consensus Algorithm for Multi-Agent Systems via Decentralized Dynamic Output Feedback
Journal of Intelligent and Robotic Systems
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
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This paper investigates the stochastic bounded consensus tracking problems of second-order multi-agent systems, where the control input of an agent can only use the information measured at the sampling instants from its neighbors or the virtual leader with a time-varying reference state, and the measurements are corrupted by random noises. The probability limit theory, the algebra graph theory, and some other techniques are employed to derive the necessary and sufficient condition guaranteeing the mean square bounded consensus tracking. It turns out that the maximum allowable sampling period depends on not only the network topology but also the constant feedback gains. Furthermore, the effects of the sampling period on tracking performance, including the tracking speed and the static tracking error, are also analyzed. The results show that reducing the sampling period can accelerate the tracking speed and decrease the static tracking error. Simulations are provided to demonstrate the effectiveness of the theoretical results.