Consensus of Delayed Multi‐agent Systems via Intermittent Impulsive Control

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.

Stochastic synchronization of delayed multiagent networks with intermittent communications: An impulsive framework

“…However, due to the complex dynamic and mathematical analysis involved with nonlinear multiagent systems, the existing consensus control methods for delayed linear multiagent systems cannot be directly applied to the nonlinear case. Thus far, only a few results are reported in synchronization or consensus of nonlinear multiagent systems with time delays via impulsive control . In the work of Hu et al, the consensus problem of second‐order multiagent systems with switching topologies via time‐delayed impulsive consensus control is investigated.…”

“…In the work of Hu et al, the consensus problem of second‐order multiagent systems with switching topologies via time‐delayed impulsive consensus control is investigated. A novel intermittent impulsive scheme is presented to realize consensus of multiagent systems with time‐varying delay in the work of Yang et al The leader‐following exponential consensus of fractional order nonlinear multiagent system with internal delay and coupling delay via heterogeneous impulsive control is studied in the work of Wang and Yang . The aforementioned works are just concerned with the consensus with positive impulsive effect (ie, impulsive control).…”

Exponential Synchronization of Dynamical Network with Distributed Delays Via Intermittent Control

“…Meanwhile, lots of network models have been introduced to describe the real world. In particular, synchronization is an interesting and important collective phenomena in networks and has been deeply investigated . The research on synchronization can be tracked to the most important work of Huygens about pendulum clocks in the 17th century.…”

“…For any given dynamical network, the key point for designing intermittent controllers is to derive the synchronization conditions with respect to the control rate, control gains and system parameters. Recently, many valuable results about intermittent control are obtained [17][18][19][20][21][22][23][24][25][26][27][28][29][30]. In Refs.…”

Exponential Stabilization of Stochastic Memristive Recurrent Neural Networks Under Periodically Intermittent State Feedback Control

“…Hence, stabilization analysis of memristive time‐varying delayed neural networks with stochastic disturbance is of practical importance. As we all know, there are various effective control methods to stabilize unstable dynamic system such as sampled data control , adaptive control , impulsive control , intermittent control and so on. Among them, different from the continuous control approaches, intermittent control is more economical.…”