Synchronization Control for Nonlinear Stochastic Dynamical Networks: Pinning Impulsive Strategy

By Jianquan Lu, Jürgen Kurths, Jinde Cao, Nariman Mahdavi Mazdeh, Chi Huang. IEEE Transactions on Neural Networks and Learning Systems, 2012

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Network-based leader-following consensus of nonlinear multi-agent systems via distributed impulsive control (2017, background): “In the studies of synchronization in complex networks, great efforts have been made in using impulsive control to solve the problem of leader-following synchronization by controlling a small number of followers [21, 28, 33].”
Distributed impulsive synchronization of Lur'e dynamical networks via parameter variation methods (2018, result): “which results in a contradiction to the assumption (24).”
Tracking Control of Networked Multi-Agent Systems Under New Characterizations of Impulses and Its Applications in Robotic Systems (2016, background): “Therefore, it is promising to develop impulsive control strategies to realize coordination by putting control inputs on all or some of the nodes [20].”
Synchronization of Coupled Reaction-Diffusion Neural Networks with Time-Varying Delays via Pinning-Impulsive Controller (2013, background): “Obviously, when timevarying delay is considered, the synchronization criteria derived in [21], [29], [33], [36], and [37] by using the pinning-impulsive strategy are not applicable anymore.”