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June  2020, 13(6): 1803-1811. doi: 10.3934/dcdss.2020106

## Stabilization of a discrete-time system via nonlinear impulsive control

 1 School of Software Engineering, Huazhong University of Science and Technology, Wuhan, Hubei 430074, China 2 School of Information Science and Engineering, Fujian University of Technology, Fuzhou, Fujian 350118, China 3 Business School, Hunan Normal University, Changsha 410081, China

* Corresponding author: Jing Huang

Received  March 2018 Revised  August 2018 Published  September 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.

Citation: Shaohong Fang, Jing Huang, Jinying Ma. Stabilization of a discrete-time system via nonlinear impulsive control. Discrete & Continuous Dynamical Systems - S, 2020, 13 (6) : 1803-1811. doi: 10.3934/dcdss.2020106
##### References:

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##### References:
State trajectory of $x_1(m)$ without nonlinear impulsive control
State trajectory of $x_2(m)$ without nonlinear impulsive control
State trajectory of $x_1(m)$ under nonlinear impulsive control
State trajectory of $x_2(m)$ under nonlinear impulsive control
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