Abstract
In this paper, the problem of robust stability of time varying delay neutral system using delta operator is investigated. As is well known, neutral system has been investigated by some academician, there are a lot of academician who investigates the delta operator,the delta operator model also has the advantage of better numerical properties at high sampling rates, so we can combine neutral system with delta operator. Based on the Lyapunov-Krasovskii functional in delta domain, a new delay-dependent stability criteria is presented in terms of LMIs. We can gained robust stability of time-varying delay neutral system using delta operator. A numerical example is given to illustrate the effectiveness of the developed method.
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