On Retention of Eventual Stability of Perturbed Impulsive Differential Systems

Journal Title: Journal of Mathematical and Fundamental Sciences - Year 2016, Vol 48, Issue 1

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.

Authors and Affiliations

Anju Sood, Sanjay Kumar Srivastava

Keywords

Related Articles

Lithium Titanate (LTO) Synthesis Through Solid State Reaction and Its Performance for LiFePO4/LTO Battery

Lithium titanate, LTO, was synthesized by solid state reaction with Li2CO3 and TiO2 powder as precursors. The result was characterized to investigate its crystal structure, phase content, cell parameters, surface morphol...

Effect of V Dopant on Physicochemical Properties of Vanadium-Doped Anatase Synthesized via Simple Reflux Technique

Mesoporous pure TiO2 (M-TiO2) and mesoporous-vanadium-doped TiO2 (M-V-doped TiO2) were successfully synthesized via a facile and simple reflux technique. The purpose of this research was to study the effect of vanadium d...

A Study of Multiple Scattering in BGO and LYSO Single Crystal Scintillators

The angular distribution of multiple Compton scatterings from BGO and LYSO single crystal scintillators was studied at various scattering angles. Gamma photons with 662 keV energy, acquired from a 137Cs source, were used...

Quantitative Analysis of Color Combination from LED and Laser Light Sources Using Modified CIE 1931 Color Space Coordinates

In this study, a quantitative analysis was conducted based on the CIE 1931 color space to determine a number of color combinations of three LED (light emitting diode) light sources and three laser sources respectively. T...

On Commutative Characterization of Graph Operation with Respect to Metric Dimension

Let G be a connected graph with vertex set V(G) and W={w_1,w_2,…,w_m}⊆V(G). A representation of a vertex v∈V(G) with respect to W is an ordered m-tuple r(v|W)=(d(v,w_1 ),d(v,w_2 ),...,d(v,w_m )) where d(v,w) is the dista...

Download PDF file
  • EP ID EP203097
  • DOI 10.5614/j.math.fund.sci.2016.48.1.1
  • Views 115
  • Downloads 0

How To Cite

Anju Sood, Sanjay Kumar Srivastava (2016). On Retention of Eventual Stability of Perturbed Impulsive Differential Systems. Journal of Mathematical and Fundamental Sciences, 48(1), 1-11. https://europub.co.uk/articles/-A-203097