Stabilization of a discrete-time system via nonlinear impulsive control
Shaohong Fang, Jing Huang, Jinying Ma · Discrete and Continuous Dynamical Systems - S · 2019
An impulsive control is one of the important stabilizing control strategies and exhibits many strong system performances such as shorten action time, low power consumption, effective resistance to uncertainty. This paper develops a nonlinear impulsive control approach to stabilize discrete-time dynamical systems. Sufficient conditions for asymptotical stability of discrete-time impulsively controlled systems are derived. Furthermore, an Ishi chaotic neural network is effectively stabilized by a designed nonlinear impulsive control.