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Robust stability of discrete time-delay uncertain singular systems

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2 Author(s)
Chen, S.-J. ; Dept. of Electr. Eng., Kun Shan Univ. of Technol., Tainan, Taiwan ; Lin, J.-L.

The robust stability property of linear discrete time-delay singular systems with structured parametric uncertainties is considered. Under the assumptions that the nominal time-delay singular systems are regular, causal and stable, necessary and sufficient conditions based on μ-analysis and guardian map theory are obtained to guarantee the properties by transforming the problem into checking the nonsingularity of a class of uncertain matrices. A tight bound is obtained in terms of μ for keeping the discrete time-delay singular systems regular, causal and stable. The results can be easily extended to deal with robust D-stability problem. Two examples are given to show the feasibility of the approach.

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Control Theory and Applications, IEE Proceedings -  (Volume:151 ,  Issue: 1 )