On Retention of Eventual Stability of Perturbed Impulsive Differential Systems

Anju Sood, Sanjay Kumar Srivastava

Abstract


In this paper, a system of non nonlinear differential equations with
impulse effect at fixed time moments is considered and criteria for retention of
uniform eventual stability of its perturbed impulsive differential systems under
vanishing perturbations are established. Sufficient conditions are obtained by
using piecewise continuous Lyapunov functions. An example is also worked out
to illustrate the results.

AMS Subject Classification: 34CXX, 34DXX, 34A37, 34K45.


Keywords


Eventual stability; impulsive differential systems; Lyapunov function; uniform eventual stability; perturbed differential systems

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References


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DOI: http://dx.doi.org/10.5614%2Fj.math.fund.sci.2016.48.1.1

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