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Analytical stability bound for delayed second-order systems with repeating poles using Lambert function W
Authors:YangQuan Chen  Kevin L. Moore
Affiliation:Department of Electrical and Computer Engineering, Center for Self-Organizing and Intelligent Systems (CSOIS), UMC 4160, College of Engineering, 4160 Old Main Hill, Utah State University, Logan, UT 84322-4160, USA
Abstract:
By using Lambert function, the analytical stability bound is obtained in this paper for delayed second-order systems with repeatable poles. An example is presented to illustrate the obtained analytical result.
Keywords:Delay   Stability bound   Analytical solutions   Lambert function
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