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Stability of Impulsive Systems with Time-Delay

  • Xinzhi Liu
  • Kexue Zhang
Chapter
Part of the IFSR International Series in Systems Science and Systems Engineering book series (IFSR, volume 33)

Abstract

This chapter introduces the fundamental theory of impulsive functional differential equations and studies exponential stability of general nonlinear time-delay systems with delayed impulsive effects, including discrete delays and distributed delays. Stability results are constructed by using the method of Lyapunov functionals and Razumikhin technique, respectively. Some results will be used in Chapters  5 and  6.

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Xinzhi Liu
    • 1
  • Kexue Zhang
    • 1
  1. 1.Department of Applied MathematicsUniversity of WaterlooWaterlooCanada

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