Exponential Stability Analysis of Difference Equation for Impulsive System

Authors

  • Elizabeth S. Department of Mathematics, Auxilium College, Gandhi Nagar, Vellore 632006, Tamil Nadu
  • Nirmal Veena S. Department of Mathematics, Auxilium College, Gandhi Nagar, Vellore 632006, Tamil Nadu

DOI:

https://doi.org/10.26713/jims.v9i3.933

Keywords:

Difference equation, Uniform exponential stability, Lyapunov functions, Impulsive system

Abstract

In this paper, we study the exponential stability of impulsive difference equations with exponential decay and the uniformity of the stability is obtained by using Lyapunov functions. Theorems on exponential and uniform exponential stability are obtained, which shows that certain impulsive perturbations may make unstable systems exponentially stable.

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References

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Published

2017-10-31
CITATION

How to Cite

S., E., & S., N. V. (2017). Exponential Stability Analysis of Difference Equation for Impulsive System. Journal of Informatics and Mathematical Sciences, 9(3), 711–719. https://doi.org/10.26713/jims.v9i3.933

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Section

Research Articles