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Consensus of Delayed Multi‐agent Systems via Intermittent Impulsive Control
Authors:Shasha Yang  Xiaofeng Liao  Yanbing Liu  Xin Chen  Dingling Ge
Affiliation:1. College of Computer Science, Chongqing University, Chongqing, China;2. College of Computer Science, Chongqing University of Posts and Telecommunications, Chongqing, China;3. School of Software Engineering, Chongqing University, Chongqing, China;4. College of Information Science and Techology, Donghua University, Shanghai, China
Abstract:A novel intermittent impulsive scheme is presented to realize consensus of multi‐agent systems with time‐varying delay in this paper because intermittent impulsive control may break through the limitation of upper bound of impulsive intervals in general impulsive control in our consensus scheme. Instead of activating all the time, we introduce the intermittent impulsive control approach into the delayed multi‐agent systems where the impulsive controller is only functioned in the control windows. Based on the algebraic graph theory, the Lyapunov stability theory, and Halanay inequality matrix theory, some adequate conditions are proposed to guarantee the consensus of delayed multi‐agent systems via pinning intermittent impulsive control. Simulation results are provided ultimately to verify the validity of the proposed control mechanism.
Keywords:Consensus of multi‐agent systems   exponential synchronization   intermittent impulsive control   time delay
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