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http://dx.doi.org/10.12673/jant.2020.24.6.607

New Stability Condition for Discrete Delayed System with Unstructured Uncertainty  

Han, Hyung-seok (Department of Electronic Engineering, Gachon University)
Publication Information
Journal of Advanced Navigation Technology / v.24, no.6, 2020 , pp. 607-612 More about this Journal
Abstract
In this paper, we deal with the stability of linear discrete systems with time-varying delays and unstructured uncertainty. Stability conditions are derived based on Lyapunov stability theory, and can include the effect of uncertainty. The unstructured uncertainty in the papaer which can not be figured out its exact characteristics and only can be expreesed by its magnitude is considered. Compared with the previous results on the stability, the new results can expand the applicable systems and alleviate the stability conditions which are more effective and powerful. The proposed stability condition is expressed in the form of an simple inequality, and includes the both effects of the uncertainties and time-varying delay. We present the results comparing the new stability condition with the existing results, and verify the effectiveness and the superiority of the proposed results through numerical example.
Keywords
Discrete system; Lyapunov; Stability condition; Time-varying delay; Unstructured uncertainty;
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Times Cited By KSCI : 4  (Citation Analysis)
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