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Stability Analysis for Nonlinear Impulsive Control System with Uncertainty Factors.

Zemin Ren1, Shiping Wen2, Qingyu Li1

  • 1School of Mathematics, Physics and Data Science, Chongqing University of Science and Technology, Chongqing 401331, China.

Computational Intelligence and Neuroscience
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Summary
This summary is machine-generated.

This study enhances stability analysis for nonlinear impulsive control systems facing uncertainties. A new condition, derived using the generalized Cauchy-Schwarz inequality, offers more practical applicability than existing methods.

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Area of Science:

  • Control Systems Engineering
  • Nonlinear Dynamics
  • Applied Mathematics

Background:

  • Nonlinear impulsive control systems are crucial in many applications but are sensitive to uncertainties.
  • Existing stability analysis methods often lack practical applicability due to stringent conditions.

Purpose of the Study:

  • To develop a more practical stability condition for nonlinear impulsive control systems with uncertainties.
  • To address limitations in current methods for analyzing system stability under bounded gain error and parameter uncertainty.

Main Methods:

  • Utilizing the generalized Cauchy-Schwarz inequality to establish a new sufficient condition for system stability.
  • Investigating the impact of bounded gain error and parameter uncertainty on system stability.

Main Results:

  • A novel sufficient condition for the stability of nonlinear impulsive control systems was derived.
  • The proposed condition is demonstrated to be more practically applicable compared to existing results.

Conclusions:

  • The new stability condition provides a valuable tool for designing and analyzing uncertain nonlinear impulsive control systems.
  • The method's effectiveness is validated through a numerical example, confirming its practical relevance.