Criteria for robust stability and stabilization of uncertain linear systems with state delay
Automatica (Journal of IFAC)
Sliding Mode Control in Engineering
Sliding Mode Control in Engineering
Stability of Time-Delay Systems
Stability of Time-Delay Systems
Time-delay systems: an overview of some recent advances and open problems
Automatica (Journal of IFAC)
International Journal of Automation and Computing
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This paper deals with the problem of delay size stability analysis of single input-delayed linear and nonlinear systems. Conventional reduction, reduction linked by sliding mode, and linear memoryless control approaches are used for simple input-delayed systems to obtain the stability conditions. Several first order examples are investigated systematically to demonstrate the capabilities and limitations of the advanced stability analysis techniques including Lyapunov-Krasovskii functionals, Newton-Leibniz formula, and a newly addressed Lagrange mean value theorem. Numerical comparative results show the usefulness and effectiveness of the advanced delay size analysis techniques proposed in this paper.