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http://dx.doi.org/10.5302/J.ICROS.2012.18.10.895

Stability Bounds of Time-Varying Uncertainty and Delay Time for Discrete Systems with Time-Varying Delayed State  

Han, Hyung-Seok (Gachon University)
Publication Information
Journal of Institute of Control, Robotics and Systems / v.18, no.10, 2012 , pp. 895-901 More about this Journal
Abstract
The stability robustness problem of linear discrete systems with time-varying unstructured uncertainty of delayed states with time-varying delay time is considered. The proposed conditions for stability can be used for finding allowable bounds of timevarying uncertainty and delay time, which are solved by using LMI (Linear Matrix Inequality) and GEVP (Generalized Eigenvalue Problem) known as powerful computational methods. Furthermore, the conditions can imply the several previous results on the uncertainty bounds of time-invariant delayed states. Numerical examples are given to show the effectiveness of the proposed algorithms.
Keywords
robust stability; discrete-time system; time-varying delay; unstructured uncertainty; delay time interval; generalized eigenvalue problem; LMI;
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Times Cited By KSCI : 4  (Citation Analysis)
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