On hybrid impulsive and switching systems and application to nonlinear control

By Zhi-Hong Guan, David John Hill, Xuemin Shen. IEEE Transactions on Automatic Control, 2005

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Stability Analysis and Design of Impulsive Control Systems With Time Delay (2007, background): “The main idea of impulsive control is to change the states of continuous dynamic systems via discontinuous control inputs at certain time moments, which is actually a scheme of hybrid control (see also, [13]–[15]).”
Switched nonlinear singular systems with time‐delay: Stability analysis (2015, background): “One can assume that the switching sequence is not known a priori and look for stability results under arbitrary switching sequences [5, 6].”
Synchronization Control for Nonlinear Stochastic Dynamical Networks: Pinning Impulsive Strategy (2012, background): “Impulsive control strategy has also been shown to be an effective control strategy in many fields due to its potential advantages over general continuous control schemes [26], [29].”
Input‐to‐state exponents and related ISS for delayed discrete‐time systems with application to impulsive effects (2018, neutral): “There exist constants α > 0, βk > 0, and M3 > 0 satisfying (31) and k1 ∏ j=k0 βj ⩽ M3, ∀k0, k1 ∈ N, k1 ⩾ k0.”