Robust Stability and Stabilizability Conditions for Time-Delay Systems Under Stochastic Uncertainties

• Published in: IEEE transactions on automatic control Vol. 70; no. 6; pp. 4037 - 4044
• Main Authors: Chen, Jianqi, Mao, Qi, Zhao, Di, Chen, Chao
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.06.2025; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Channel-wise time delay; Control systems; Delay effects; Delays; Feedback control; Feedback control systems; Frequency-domain analysis; Linear systems; mean-square stability; mean-square stabilizability; Network control; Output feedback; Robustness; Stability; Stability criteria; Stochastic processes; Time delay systems; Time invariant systems; Time-domain analysis; Uncertainty; unstructured stochastic uncertainty; Upper bound

This study first explores the mean-square robust stability problem of stable continuous-time linear time-invariant systems subject to stochastic multiplicative uncertainties with prescribed variance bounds. The internal structures of uncertainties, however, are not presumed to cope with diverse rand...