Title | ||
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Controllability Of Discrete-Time Multi-Agent Systems With Directed Topology And Input Delay |
Abstract | ||
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This paper investigates the controllability of first-order and second-order discrete-time multi-agent systems with directed topology and input delay. The problem is studied in the leader-follower framework where a number of agents are selected to be leaders and serve as control inputs to all other agents. Sufficient and necessary conditions are derived for the controllability of first-order discrete-time multi-agent systems. With sampling period and feedback gain satisfying certain conditions, it is proved under three different protocols that the controllability of second-order discrete-time multi-agent systems is equivalent to that of a pair of submatrices of Laplacian matrix. In addition, the controllability of both first-order and second-order discrete-time multi-agent systems with input delay is shown, through some transformations, to be equivalent to that of the transformed non-delayed systems. Finally, some simulation examples are given to illustrate the theoretical results. |
Year | DOI | Venue |
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2016 | 10.1080/00207179.2015.1063165 | INTERNATIONAL JOURNAL OF CONTROL |
Keywords | Field | DocType |
discrete-time multi-agent systems, directed topology, controllability, protocol, input delay | Topology,Laplacian matrix,Controllability,Control theory,Sampling (signal processing),Network controllability,Multi-agent system,Discrete time and continuous time,Block matrix,Mathematics | Journal |
Volume | Issue | ISSN |
89 | 1 | 0020-7179 |
Citations | PageRank | References |
7 | 0.46 | 18 |
Authors | ||
4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Zehuan Lu | 1 | 15 | 1.30 |
Lin Zhang | 2 | 146 | 16.93 |
Zhijian Ji | 3 | 351 | 32.04 |
Long Wang | 4 | 3846 | 236.00 |