Vellore Institute of Technology (VIT) is a private university located in&nbsp;Tamil Nadu, India. Founded in 1984, as Vellore Engineering College, the institution offers 20 undergraduate, 34 postgraduate, four integrated and four research programs. It has campuses in Vellore, Amravati, Bhopal and Chennai.

VIT is one of the top ranked private universities in India according to NIRF, THE and QS Rankings.&nbsp;Govt. of India has recognized&nbsp;VIT, Vellore as an&nbsp;Institution of Eminence. This has allowed VIT to take independent quality initiatives and move up in world ranking.

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VIT University

Department of Mathematics

School of Advanced Sciences

Vellore Campus

Department of Energy and Power Electronics

School of Electrical Engineering

TENCON 2019 - 2019 IEEE Region 10 Conference (TENCON)

Improved Harmony Search Based Optimization of Droop Control Parameters for Load Sharing in DC Microgrids

2019 Innovations in Power and Advanced Computing Technologies (i-PACT)

A Combined Current Sharing Control Of BDC In Reconfigurable PV/BESS Architecture For Islanded DC Microgrid

In this article, a new method for analyzing the stability of a steady state of a delay differential equation is introduced. We determine whether or not varying the delay length can change the stability characteristics of a steady state, treating the length of the time delay as a bifurcation parameter. © 2018, Springer Science+Business Media, LLC, part of Springer Nature.

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Journal of Nonlinear Science

Geometric Stability Switch Criteria in HIV-1 Infection Delay Model

In this paper, for 1 ≤ k ≤ 2 and a sequence γ:={γ(n)}n=1∞ that is quasi β-power monotone decreasing with β&gt;1−1k, we prove the |A, γ|k summability of an orthogonal series, where A is Riesz matrix. For β&gt;12, we give a necessary and sufficient condition for |A, γ|k summability, where A is Riesz matrix. Our result generalizes the result of Moricz (Acta Sci Math 23:92–95, 1962) for absolute Riesz summability of an orthogonal series. © 2018, Springer Nature Switzerland AG.

Trends in Mathematics Advances in Algebra and Analysis

Generalized Absolute Riesz Summability of Orthogonal Series

VIT Unitversity

Fulltext

Energy Procedia

Load sharing control of parallel operated single phase inverters

This paper determines methods to develop a novel technique for predicting a nation in view of the Olympic awards owned by 2012. It is the combination of three methods are Pearson correlation coefficient, Spearman correlation coefficient and along with linear regression. The main idea of the paper is to compare the value of Spearman and Pearson correlation coefficient as there in the same set of data. The example concerns the comparison of the total medals and the GDP (gross domestic product) that has been obtained by each country. The results from using these methods do the heuristics prediction of Olympic medals using machine learning. © 2017 IEEE.

Department of Digital Communications

School of Information Technology and Engineering

Computer Science

School of Computer Science and Engineering

Chennai Campus

2017 International conference of Electronics, Communication and Aerospace Technology (ICECA)

Heuristics prediction of olympic medals using machine learning

Renewable and Sustainable Energy Reviews

Control strategies of parallel operated inverters in renewable energy application: A review

Mathematical model for the effects of protease inhibitor on the dynamics of HIV-1 infection model with three delays is proposed and analyzed. Some analytical results on the global stability of viral free steady state and infected steady state are obtained. The stability/instability of the positive steady state and associated Hopf bifurcation are investigated by analyzing the characteristic equations. © 2015 Elsevier Ltd. All right reserved.

Nonlinear Analysis: Real World Applications

Analysis of stability and Hopf bifurcation for HIV-1 dynamics with PI and three intracellular delays

Mathematical model for the effect of reverse transcriptase inhibitor on the dynamics of HIV-1 infection model with three delays is proposed and analyzed. We begin this model with proving the positivity and boundedness of the solution. We analyze the stability of the viral free steady state and the infected steady state of the system. Also we have carried out bifurcation analysis along with an estimated length of delay to preserve the stability behaviour. By developing a few Lyapunov functionals, we obtain conditions ensuring global stability of steady states. Numerical simulations are carried out to explain the mathematical conclusions. © 2014, Korean Society for Computational and Applied Mathematics.

Journal of Applied Mathematics and Computing

Global stability analysis of HIV-1 infection model with three time delays

A mathematical model for Intra-Venous Glucose Tolerance Test (IVGTT) with explicit glucose-insulin interaction is presented as a system of delay differential equation with discrete time delays and its important mathematical features are analyzed. This model includes the positivity and boundedness of the solution. An unique equilibrium point is found and its local stability is investigated. Using the Lyapunov functional approach, we show the global stability of the unique equilibrium point. The length of delay that preserves the stability is estimated. Sensitivity analysis is performed on a delay differential equation model for IVGTT that suggests the parameter value has a major impact on the model dynamics. Numerical calculations are performed to support and elaborate the analytical findings. © 2015 World Scientific Publishing Company.

Journal of Biological Systems

Mathematical modeling of intra-venous glucose tolerance test model with two discrete delays

International Journal of Research in Engineering and Technology

PERFORMANCE ANALYSIS OF CMOS COMPARATOR AND CNTFET COMPARATOR DESIGN

In this article, we considered a model of HIV-1 infection with a protease inhibitor therapy and three delays. The frequency of the bifurcating periodic solution as well as the threshold value is approximated numerically using realistic parameter. The estimated threshold value is realistic and the frequency of the oscillations is consistent with that of the observed viral blips. © 2013 Elsevier Ireland Ltd.

BioSystems

Stability analysis for HIV infection delay model with protease inhibitor