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http://dx.doi.org/10.12673/jant.2019.23.6.577

Stability Conditions for Positive Time-Varying Discrete Interval System with Unstructured Uncertainty  

Han, Hyung-seok (Department of Electronic Engineering, Gachon University)
Publication Information
Journal of Advanced Navigation Technology / v.23, no.6, 2019 , pp. 577-583 More about this Journal
Abstract
A dynamic system is called positive if any trajectory of the system starting from non-negative initial states remains forever non-negative for non-negative controls. In this paper, we consider the new stability condition for the positive time-varying linear discrete interval systems with time-varying delay and unstructured uncertainty. The delay time is considered as time-varying within certain interval having minimum and maximum values and the system is subjected to nonlinear unstructured uncertainty which only gives information on uncertainty magnitude. The proposed stability condition is an improvement of the previous results which can be applied only to time-invariant systems or had no consideration of uncertainty, and they can be expressed in the form of a very simple inequality. The stability conditions are derived using the Lyapunov stability theory and have many advantages over previous results using the upper solution bound of the Lyapunov equation. Through numerical example, the proposed stability conditions are proven to be effective and can include the existing results.
Keywords
Stability condition; Positive time-varying discrete interval system; Time-varying delay; Unstructured uncertainty; Nonlinear;
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Times Cited By KSCI : 3  (Citation Analysis)
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