Criteria for robust stability and stabilization of uncertain linear systems with state delay
Automatica (Journal of IFAC)
Linear System Theory and Design
Linear System Theory and Design
Stability of Time-Delay Systems
Stability of Time-Delay Systems
Automatica (Journal of IFAC)
Stability and Stabilization of Time-Delay Systems (Advances in Design & Control) (Advances in Design and Control)
Time-delay systems: an overview of some recent advances and open problems
Automatica (Journal of IFAC)
A note on the use of the Lambert W function in the stability analysis of time-delay systems
Automatica (Journal of IFAC)
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Linear time-delay systems with transcendental characteristic equations have infinitelymany eigenvalues which are generally hard to compute completely. However, the spectrum of first-order linear time-delay systems can be analyzed with the Lambert function. This paper studies the stability and state feedback stabilization of first-order linear time-delay system in detail via the Lambert function. The main issues concerned are the rightmost eigenvalue locations, stability robustness with respect to delay time, and the response performance of the closed-loop system. Examples and simulations are presented to illustrate the analysis results.