AN ASYMPTOTIC STABILITY ANALYSIS OF NEUTRAL TIME DELAYS SYSTEM WITH NONLINEAR UNCERTAINTY

P. Baskar; K. S. Anand; V. Umesha

P. Baskar Department of Mathematics, New Horizon college of Engineering, Marathahalli, Bengaluru, Karnataka 560103, INDIA

K. S. Anand Department of Mathematics, A. P. S. College of Engineering, Somanahalli, Bengaluru, Karnataka 560082, INDIA.

V. Umesha Department of Mathematics, Dayananda Sagar College of Engineering, Shavige Malleshwara Hills, Bengaluru, Karnataka 560078, INDIA.

Volume 15, Issue 2 Pages 127-134 August 31, 2019 232 downloads

Article overview

Abstract

In this paper, the asymptotic stability for neutral delay differential system with nonlinear Uncertainties is investigated. Many works have been reported using a variety of methods. However, more focus on the use of the Lyapunov- Krasovskii theory to derive sufficient stability conditions in the form of linear matrix inequalities. These stability conditions are formulated as linear matrix inequalities (LMIs) which can be easily solved by various convex optimization algorithms. Here we present the basic concepts involved in stability and also we reported and developed to analyze the asymptotic stability of Neutral Time Delay-differential systems.

Keywords and Phrases

StabilityDelay-dependent stabilityLinear Matrix InequalityLyapunov-Krasovskii functionalTime-varying delay.

AMS Subject Classification

93D05, 93D09, 93D20.

Reference information

How to Cite

P. Baskar, K. S. Anand, V. Umesha (2019). AN ASYMPTOTIC STABILITY ANALYSIS OF NEUTRAL TIME DELAYS SYSTEM WITH NONLINEAR UNCERTAINTY. South East Asian Journal of Mathematics and Mathematical Sciences, 15(2), 127-134.

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