EXPONENTIAL STABILITY OF NEUTRAL TIME DELAY DIFFERENTIAL SYSTEMS WITH LMI APPROACH
Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 181
DOI:
Author :
P. Baskar (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.)
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 stability, Delay-dependent stability, Linear Matrix Inequality, Lyapunov- Krasovskii functional, Time-varying delay.
A.M.S. subject classification
93D05, 93D09, 93D20.
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