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http://dx.doi.org/10.12673/jant.2021.25.6.551

Stability Condition for Discrete Interval System with Unstructured Uncertainty and Time-Varying Delay Time  

Hyung-seok Han (Department of Electronic Engineering, Gachon University)
Publication Information
Journal of Advanced Navigation Technology / v.25, no.6, 2021 , pp. 551-556 More about this Journal
Abstract
In this paper, we deal with the stability condition of linear interval discrete systems with time-varying delays and unstructured uncertainty. For the interval discrete system which has interval matrix as its system matrices, time-varying delay time within some interval value and unstructured uncertainty which can include non-linearity and be expressed by only its magnitude, the stability condition is proposed. Compared with the previous result derived by using a upper bound solution of the Lyapunov equation, the new results are derived by the form of simple inequality based on Lyapunov stability condition and have the advantage of being more effective in stability application. Furthermore, the proposed stable conditions are very comprehensive and powerful, including the previously published stable conditions of various linear discrete systems. The superiority of the new condition is proven in the derivation process, and the utility and superiority of the proposed condition are examined through numerical example.
Keywords
Discrete system; Interval system; Stability condition; Time-varying delay; Unstructured uncertainty;
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