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http://dx.doi.org/10.12673/jant.2018.22.6.630

Stability Condition of Discrete System with Time-varying Delay and Unstructured Uncertainty  

Han, Hyung-seok (Department of Electronic Engineering, Gachon University)
Publication Information
Journal of Advanced Navigation Technology / v.22, no.6, 2018 , pp. 630-635 More about this Journal
Abstract
In this paper, we consider the stability condition for the linear discrete systems with time-varying delay and unstructured uncertainty. The considered system has time invariant system matrices for non-delayed and delayed state variables, but its delay time is time-varying within certain interval and it is subjected to nonlinear unstructured uncertainty which only gives information on uncertainty magnitude. In the many previous literatures, the time-varying delay and unstructured uncertainty can not be dealt in simultaneously but separately. In the paper, new stability conditions are derived for the case to which two factors are subjected together and compared with the existing results considering only one factor. The new stability conditions improving many previous results are proposed as very effective inequality equations without complex numerical algorithms such as LMI(Linear Matrix Inequality) or Lyapunov equation. By numerical examples, it is shown that the proposed conditions are able to include the many existing results and have better performances in the aspects of expandability and effectiveness.
Keywords
Stability condition; Discrete system; Time-varying delay; Unstructured uncertainty; Nonlinear;
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Times Cited By KSCI : 1  (Citation Analysis)
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