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Haddad, W.M., Chellaboina, V.S. and Nersesov, S.G. (2006) Impulsive and Hybrid Dynamical Systems: Stability, Dissipativity, and Control. Princeton University Press.

has been cited by the following article:

• TITLE: Dynamic Event-Triggered and Impulsive Control for Nonlinear Impulsive Systems

  AUTHORS: Yueyi Yu, Shasha Zheng

  KEYWORDS: Dynamic Event-Triggered Impulsive Control, Nonlinear Impulsive System, Impulsive Control

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.13 No.3, March 24, 2025

  ABSTRACT: In this paper, the problem of dynamic event-triggered impulsive control for a class of nonlinear systems is studied. Based on the input-to-state stability results of nonlinear systems, a dynamic event-triggered control strategy is designed to stabilize the nonlinear system, and the lower bound of triggering is set. By using Lyapunov method, a sufficient condition for the stabilization of nonlinear systems is obtained. The conservation of the original theorem is maintained while the number of transmissions is greatly reduced. Numerical simulations show the effectiveness of the theoretical results.