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http://dx.doi.org/10.5370/KIEE.2017.66.5.806

Stability of Time-delayed Linear Systems using an Improved Integral Inequality  

Kim, Jin-Hoon (School of Electronics Engineering, Chungbuk National University)
Publication Information
The Transactions of The Korean Institute of Electrical Engineers / v.66, no.5, 2017 , pp. 806-811 More about this Journal
Abstract
This paper considers the delay-dependent stability of linear systems with a time-varying delay in the frame work of Lyapunov-Krasovskii functional(LKF) approach. In this approach, an integral inequality is essential to estimate the upper bound of time-derivative of LKF, and a less conservative one is needed to get a less conservative stability result. In this paper, based on free weighting matrices, an improved integral inequality encompassing well-known results is proposed and then a stability result in the form of linear matrix inequality is derived based on an augmented LKF. Finally, two well-known numerical examples are given to demonstrate the usefulness of the proposed result.
Keywords
Stability; Time-delay; LMI; Improved Integral inequality; Free weighting matrix; Augmented LKF;
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