Improved delay-dependent stability criteria for time-delay systems

• Published in: IEEE transactions on automatic control Vol. 50; no. 3; pp. 384 - 387
• Main Authors: Shengyuan Xu, Lam, J.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.03.2005; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Applied sciences; Asymptotic stability; Computer science; control theory; systems; Control theory. Systems; Delay systems; Delay-dependent condition; Exact sciences and technology; Linear matrix inequalities; linear matrix inequality (LMI); Robust stability; Stability analysis; Stability criteria; Symmetric matrices; Time varying systems; time-delay systems; Uncertain systems; Uncertainty; Robust stability; uncertain systems; linear matrix inequality (LMI); Delay system; Stability criterion; Time dependence; Asymptotic stability; Uncertain system; time-delay systems; Linear matrix inequality; Delay time; Delay-dependent condition; Delayed time
• ISSN: 0018-9286; 1558-2523
• DOI: 10.1109/TAC.2005.843873

This note provides an improved asymptotic stability condition for time-delay systems in terms of a strict linear matrix inequality. Unlike previous methods, the mathematical development avoids bounding certain cross terms which often leads to conservatism. When time-varying norm-bounded uncertainties appear in a delay system, an improved robust delay-dependent stability condition is also given. Examples are provided to demonstrate the reduced conservatism of the proposed conditions.