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Stabilization of a discrete-time system via nonlinear impulsive control

  • * Corresponding author: Jing Huang

    * Corresponding author: Jing Huang 
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  • 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.

    Mathematics Subject Classification: Primary: 34H15, 93C15; Secondary: 34D20.


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  • Figure 1.  State trajectory of $ x_1(m) $ without nonlinear impulsive control

    Figure 2.  State trajectory of $ x_2(m) $ without nonlinear impulsive control

    Figure 3.  State trajectory of $ x_1(m) $ under nonlinear impulsive control

    Figure 4.  State trajectory of $ x_2(m) $ under nonlinear impulsive control

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