Stability Analysis and Design of Impulsive Control Systems With Time Delay

By Zhichun Yang, Daoyi Xu. IEEE Transactions on Automatic Control, 2007

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Tracking Control of Networked Multi-Agent Systems Under New Characterizations of Impulses and Its Applications in Robotic Systems (2016, background): “On the other hand, impulsive control has gained considerable interest in various areas after the manifestation of their wide applications in natural science, which can be regarded as a variant of hybrid control [17]–[19].”
Exponential synchronization of nonlinearly coupled complex networks with hybrid time-varying delays via impulsive control (2016, unknown): “Lemma 1 [30] Let 0≤τi (t)≤τ , F(t, u, ū1, .”
Distributed impulsive synchronization of Lur'e dynamical networks via parameter variation methods (2018, methodology): “In order to realize the synchronization between the delay coupled Lur'e network (1) and isolated Lur'e network (36), we design the controller ui(t) in Equation 5 as follows.”
Robust Global Exponential Synchronization of Uncertain Chaotic Delayed Neural Networks via Dual-Stage Impulsive Control (2010, methodology): “Therefore, the results in Corollary 1 have wider application fields than those of [25] and [ 33 ].”
Synchronization of Complex Dynamical Networks With Time-Varying Delays Via Impulsive Distributed Control (2010, methodology): “In this section, based on the stability results for impulsive delayed systems [39], a new impulsive distributed control scheme is proposed and several novel criteria are derived for global exponential synchronization of CDN (2).”