Abstract
This paper mainly studies stability of delayed nonlinear systems (DNSs) under state-dependent delayed impulses (SDDIs). Firstly, under some appropriate hypotheses, it is proved that the pulse phenomenon can be avoided. Then, by the method of comparison principle, new theoretical frameworks are established for stability of DNSs under state-dependent delayed impulsive control and delayed impulsive interference, respectively. Furthermore, the proposed criteria are applied in the stability of delayed neural networks (DNNs) under SDDIs. Finally, examples are provided to illustrate the correctness of obtained results.
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More From: Communications in Nonlinear Science and Numerical Simulation
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