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Research Article

EXPONENTIAL STABILITY OF NEUTRAL TIME DELAY DIFFERENTIAL SYSTEMS WITH LMI APPROACH

P
P. Baskar New Horizon college of Engineering, Marathahalli, Bengaluru, Karnataka 560103, INDIA
K
K. S. Anand Department of Mathematics, A. P. S. College of Engineering, Somanahalli, Bengaluru, Karnataka 560082, INDIA.
V
V. Umesha Department of Mathematics, Dayananda Sagar College of Engineering, Shavige Malleshwara Hills, Bengaluru, Karnataka 560078, INDIA.
Volume 15, Issue 2 Pages 59-64 August 31, 2019 281 downloads
Article overview

Abstract

In this paper we developed the analyzed and the globally exponentially stability of Neutral Time Delay-differential systems. Based on a novel Lyapunov kravoski’s functional method (LKF) and linear matrix inequality (LMI) a new delay dependent stability criterion is derived. The stability conditions which are in the form of LMI and it can be solved by the help of some standard numerical MATLAB algorithms.

Keywords and Phrases

Exponential 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). EXPONENTIAL STABILITY OF NEUTRAL TIME DELAY DIFFERENTIAL SYSTEMS WITH LMI APPROACH. South East Asian Journal of Mathematics and Mathematical Sciences, 15(2), 59-64.
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