Comparison System Method for a class of Stochastic Systems with Variable-time Impulses

  • Jie Tan
  • Chuandong Li
  • Tingwen Huang
Regular Paper Control Theory and Applications


This paper studies the stability of stochastic impulsive systems with variable-time impulses. We consider the case that the trajectory of the stochastic system intersects each surface of discontinuity exactly once. Then we shall show that under the well-selected conditions the variable-time impulsive systems can be reduced to the fixed-time impulsive systems with impulse time window. By using comparison method, we obtain two theorems to determine the different impulsive time windows for stable and unstable stochastic dynamical systems, respectively. The effectiveness of the theoretical results are illustrated by two numerical examples.


Comparison method stability stochastic system variable-time impulses 


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Copyright information

© Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.College of Electronic and Information EngineeringSouthwest universityChongqingChina
  2. 2.College of Mathematics and physicsChongqing University of Science and TechnologyChongqingChina
  3. 3.Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, College of Electronic Information EngineeringSouthwest UniversityChongqingChina
  4. 4.Department of Electrical and Computer Engineering Texas A&M University at QatarDohaQatar

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