A New Characteristic of Switching Topology and Synchronization of Linear Multiagent Systems

The concept of synchronizability exponent is proposed to define a quantitative characteristic of switching topology. Meanwhile, the Lyapunov exponent is introduced as a quantitative characteristic of agent dynamics. A quantitative relation that the Lyapunov exponent is less than the synchronizabilit...

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Bibliographic Details
Published inIEEE transactions on automatic control Vol. 64; no. 7; pp. 2697 - 2711
Main Authors Wang, Xingping, Zhu, Jiandong, Feng, Jun-e
Format Journal Article
LanguageEnglish
Published New York IEEE 01.07.2019
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Infinite matrix product
linear multiagent systems
Linear systems
Lyapunov exponent
Multi-agent systems
Multiagent systems
Network topology
Output feedback
Protocols
State feedback
State observers
Switches
Switching
Synchronism
synchronizability exponent
Synchronization
Topology
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Summary:The concept of synchronizability exponent is proposed to define a quantitative characteristic of switching topology. Meanwhile, the Lyapunov exponent is introduced as a quantitative characteristic of agent dynamics. A quantitative relation that the Lyapunov exponent is less than the synchronizability exponent is presented as a new synchronization condition. This condition describes the relationship between agent dynamics and switching topology, which does not seem to have been explicitly considered so far. Under the new quantitative condition, we design state feedback and output feedback protocols to achieve synchronization of linear multiagent systems. We further show that the output feedback protocols can be constructed by separately designing state feedback protocols and state observers, namely the separation principle holds.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2018.2869478