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Haddad, W.M., Chellaboina, Vs. and Nersesov S.G. (2006) Impulsive and Hybrid Dynamical Systems, Stability, Dissipativity and Control. Princeton University Press, Princeton.
https://doi.org/10.1515/9781400865246

has been cited by the following article:

• TITLE: Exponential Estimation of the Lyapunov Function for Delay-Coupled Neural Networks with Integral Terms

  AUTHORS: Nan Li, Liang Wang

  KEYWORDS: Delayed Impulsive Control, Hybrid System, Synchronization, Delay-Compensatory

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.12 No.3, March 28, 2024

  ABSTRACT: This paper investigates a class of coupled neural networks with delays and ad-dresses the exponential synchronization problem using delay-compensatory impulsive control. Razumikhin-type inequalities involving some destabilizing delayed impulse gains are proposed, along with a new delay-compensatory concept demonstrating two crucial roles in system stability. Based on the constructed inequalities and the introduced delay-compensatory concept, sufficient stability and synchronization criteria for globally exponential synchronization of coupled neural networks are provided. To address the exponential synchronization problem in coupled neural networks. Utilizing delay-compensatory impulsive control and Razumikhin-type inequalities. The Lyapunov function for coupled neural networks with delays and integral terms exhibits exponential estimates.