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Mathematics 2017, 5(4), 55; https://doi.org/10.3390/math5040055

On the Achievable Stabilization Delay Margin for Linear Plants with Time-Varying Delays

College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, 211106 Nanjing, China
Received: 24 September 2017 / Revised: 19 October 2017 / Accepted: 20 October 2017 / Published: 25 October 2017
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Abstract

The paper contributes to stabilization problems of linear systems subject to time-varying delays. Drawing upon small gain criteria and robust analysis techniques, upper and lower bounds on the largest allowable time-varying delay are developed by using bilinear transformation and rational approximates. The results achieved are not only computationally efficient but also conceptually appealing. Furthermore, analytical expressions of the upper and lower bounds are derived for specific situations that demonstrate the dependence of those bounds on the unstable poles and nonminumum phase zeros of systems. View Full-Text
Keywords: delay margin; analytical interpolation; bilinear transformation; model transformation; rational approximation delay margin; analytical interpolation; bilinear transformation; model transformation; rational approximation
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Zhu, J. On the Achievable Stabilization Delay Margin for Linear Plants with Time-Varying Delays. Mathematics 2017, 5, 55.

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