On Retention of Eventual Stability of Perturbed Impulsive Differential Systems | Zendy

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On Retention of Eventual Stability of Perturbed Impulsive Differential Systems

Author(s) -

Anju Sood,

S. K. Srivastava

Publication year - 2016

Publication title -

journal of mathematical and fundamental sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.216

H-Index - 12

eISSN - 2337-5760

pISSN - 2338-5510

DOI - 10.5614/j.math.fund.sci.2016.48.1.1

Subject(s) - mathematics , piecewise , nonlinear system , lyapunov function , stability (learning theory) , differential (mechanical device) , differential equation , control theory (sociology) , mathematical analysis , exponential stability , computer science , control (management) , physics , thermodynamics , quantum mechanics , machine learning , artificial intelligence

In this paper, a system of non nonlinear differential equations with\udimpulse effect at fixed time moments is considered and criteria for retention of\uduniform eventual stability of its perturbed impulsive differential systems under\udvanishing perturbations are established. Sufficient conditions are obtained by\udusing piecewise continuous Lyapunov functions. An example is also worked out\udto illustrate the results.\ud\udAMS Subject Classification: 34CXX, 34DXX, 34A37, 34K45

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