Directed spanning tree-based adaptive protocols for second-order consensus of multiagent systems

2017 ◽  
Vol 28 (6) ◽  
pp. 2172-2190 ◽  
Author(s):  
Zhiyong Yu ◽  
Haijun Jiang ◽  
Da Huang ◽  
Cheng Hu
Keyword(s):  
Multiagent Systems ◽  
Spanning Tree ◽  
Second Order ◽  
Adaptive Protocols ◽  
Directed Spanning Tree

scholarly journals Adjacent-Compensation Consensus Algorithm in Asynchronously Coupled Form for Second-Order Multiagent Network under Communication Delay

2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
Cheng-Lin Liu ◽  
Fei Liu
Keyword(s):  
Multiagent Systems ◽  
Spanning Tree ◽  
Frequency Domain Analysis ◽  
Second Order ◽  
Communication Delay ◽  
Consensus Algorithm ◽  
Coordination Control ◽  
Control Framework ◽  
Leader Following ◽  
Delay Dependent

General asynchronously coupled consensus algorithm associated with adjacent compensations, is proposed to solve the dynamical consensus problem of second-order multiagent network with communication delay under leader-following coordination control framework. Based on frequency-domain analysis, firstly, delay-independent consensus convergence is proved for the second-order multiagent systems with a spanning tree topology that has the leader root and then delay-dependent consensus condition is obtained for the multiagent systems with communication delay under a general leader-following interconnection topology. Simulation illustrates the correctness of the results.

scholarly journals Consensus of Heterogeneous Multiagent Systems with Switching Dynamics

2018 ◽  
Vol 2018 ◽  
pp. 1-9
Author(s):  
Wenshuai Wang ◽  
Juling Wang ◽  
Huaizhu Wang ◽  
Yuanshi Zheng
Keyword(s):  
Multiagent Systems ◽  
Spanning Tree ◽  
Matrix Theory ◽  
Nonnegative Matrix ◽  
Time Dynamics ◽  
Switching Dynamics ◽  
Directed Spanning Tree ◽  
Interaction Topology ◽  
Theoretical Results ◽  
Double Integrator

Heterogeneity is an important feature of multiagent systems. This paper addresses the consensus problem of heterogeneous multiagent systems composed of first-integrator and double-integrator agents. The dynamics of each agent switches between continuous-time and discrete-time dynamics. By using the graph theory and nonnegative matrix theory, we derive that the system can achieve consensus if and only if the fixed interaction topology has a directed spanning tree. For switching topologies, we get that the system can reach consensus if each interaction topology has a directed spanning tree. Simulation examples are provided to demonstrate the effectiveness of our theoretical results.

Distributed Consensus for Multiagent Systems via Directed Spanning Tree Based Adaptive Control

2018 ◽  
Vol 56 (3) ◽  
pp. 2189-2217 ◽  
Author(s):  
Zhiyong Yu ◽  
Da Huang ◽  
Haijun Jiang ◽  
Cheng Hu ◽  
Wenwu Yu
Keyword(s):  
Adaptive Control ◽  
Multiagent Systems ◽  
Spanning Tree ◽  
Distributed Consensus ◽  
Directed Spanning Tree

scholarly journals Consensus Analysis of Fractional-Order Multiagent Systems with Double-Integrator

2017 ◽  
Vol 2017 ◽  
pp. 1-8 ◽  
Author(s):  
Chunde Yang ◽  
Wenjing Li ◽  
Wei Zhu
Keyword(s):  
Multiagent Systems ◽  
Fractional Order ◽  
Spanning Tree ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
Consensus Analysis ◽  
Directed Spanning Tree ◽  
Necessary And Sufficient ◽  
Theoretical Results ◽  
Double Integrator

In nature, many phenomena can be explained by coordinated behavior of agents with fractional-order dynamics. In this paper, the consensus problem of fractional-order multiagent systems with double-integrator is studied, where the fractional-order satisfies0<α<2. Based on the fractional-order stability theory, Mittag-Leffler function, and Laplace transform, a necessary and sufficient condition is obtained under the assumption that the directed graph for the communication network contains a directed spanning tree. Finally, an example with simulation is presented to illustrate the theoretical results.

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