Technical Communique: Analytical stability bound for delayed second-order systems with repeating poles using Lambert function W

Authors:
Yangquan Chen;Kevin L. Moore
Affiliations:
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, U ...;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, U ...
Venue:
Automatica (Journal of IFAC)
Year:
2002

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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.