Exponential stability of delayed nonlinear systems with state-dependent delayed impulses and its application in delayed neural networks

作者：Cui, Qian; Li, Lulu^*; Wang, Lei^*

来源：Communications in Nonlinear Science and Numerical Simulation, 2023, 125: 107375.

DOI：10.1016/j.cnsns.2023.107375

• Delayed nonlinear systems
• Stability
• State-dependent delayed impulses
• Delayed neural networks

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. & COPY; 2023 Elsevier B.V.