Hilger-type impulsive differential inequality and its application to impulsive synchronization of delayed complex networks on time scales

Rapid dynamical pattern recognition for sampling sequences

“…Temporal/dynamical pattern recognition is an important and challenging issue that has attracted great attention in various areas, such as aerospace, biology, biomedicine, and control engineering [1][2][3][4][5][6]. Considering that the information of temporal patterns is embedded in time, recognition of temporal patterns differs from that of static patterns.…”

Synchronization of Complex Dynamical Networks on Time Scales via Pinning Control

“…On the other hand, the theory of time scales, a useful tool to deal with continuous and discrete analysis under a unified framework, was introduced by Hilger in his Ph.D. thesis [31]. With the development of the theory of time scales, the synchronization of complex dynamical networks on time scales has received increasing attention [32][33][34][35][36][37][38][39][40]. For example, in 2016, Liu and Zhang [35] studied the synchronization of linear complex dynamical networks on time scales via pinning impulsive control.…”

Finite‐time stability of switched nonlinear time‐delay systems

“…Additionally, the stability for Markovian jump time-delay systems was investigated in the work of Li et al 37 Chen et al 38 investigated the robust sampled-data control for Itô stochastic Markovian jump time-delay systems. By hilger-type impulsive differential inequality, the work of Huang et al 39 studied the delayed complex networks on time scales. It should be pointed out that those aforementioned literature do not investigate the FTS and FTCS for the SNTDSs.…”