Strict Practical Stability of Impulsive Differential System in Terms of Two Measures

  • Pallvi MahajanEmail author
  • Sanjay Kumar Srivastava
  • Rakesh Dogra
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 307)


In this paper, an impulsive differential system is investigated to obtain sufficient conditions for strict practical stability. The investigations are carried out by perturbing Lyapunov function and by using the comparison principle. The stability properties are investigated in terms of two measures. Our results demonstrate that impulses do contribute to the system’s stability behaviour. An example is given to compliment on results.


Impulsive differential system Strict practical stability Perturbed Lyapunov functions Two measures 

AMS Subject Classification:




One of us (PM) would like to thank IKGPTU for providing the online library facility.


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Copyright information

© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  • Pallvi Mahajan
    • 1
    • 2
    Email author
  • Sanjay Kumar Srivastava
    • 2
  • Rakesh Dogra
    • 2
  1. 1.Inder Kumar Gujral-Punjab Technical UniversityKapurthalaIndia
  2. 2.Beant College of Engineering and TechnologyGurdaspurIndia

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