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- W2916868617 abstract "Summary This paper explores the stability of impulsive coupled systems on networks with both multicoupling structure and time‐varying delays (ICSNMT). The coupling structure can be nonlinear and the time‐varying delays in which can be different, which can well describe more realistic networks. In order to describe this multicoupling structure, we build ICSNMT on a digraph with multiple arcs. Two cases are discussed, ie, (i) the continuous dynamics is stable and (ii) the impulsive dynamics is stable. Then, by means of impulsive differential inequalities with multiple delays and weighted Lyapunov functions method where the weights are closely linked to the network's topological structure, some stability criteria are established. Then, the theoretical results are illustrated by examples of bidirectional associative memory neural networks and coupled modified Chua's circuits, respectively. The numerical simulations are also carried out to demonstrate the effectiveness and feasibility of our theoretical findings." @default.
- W2916868617 created "2019-03-02" @default.
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- W2916868617 date "2019-02-19" @default.
- W2916868617 modified "2023-10-17" @default.
- W2916868617 title "Stability of impulsive coupled systems on networks with both multicoupling structure and time‐varying delays" @default.
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- W2916868617 doi "https://doi.org/10.1002/rnc.4499" @default.
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