Stability of Time-Delay Systems
Stability of Time-Delay Systems
Technical communique: Delay-range-dependent stability for systems with time-varying delay
Automatica (Journal of IFAC)
Technical communique: Stability and robust stability for systems with a time-varying delay
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Technical Communique: Robust stability of uncertain delay-differential systems of neutral type
Automatica (Journal of IFAC)
Technical Communique: Delay-dependent criteria for robust stability of time-varying delay systems
Automatica (Journal of IFAC)
Network-based robust H∞ control of systems with uncertainty
Automatica (Journal of IFAC)
On H∞ control for linear systems with interval time-varying delay
Automatica (Journal of IFAC)
Technical communique: Robust stabilization of uncertain systems with unknown input delay
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Delayed feedback control of uncertain systems with time-varying input delay
Automatica (Journal of IFAC)
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A piecewise analysis method (PAM) is proposed to investigate the stability of linear system with time-varying delay and uncertainties. Different from the existing methods in dealing with the time-varying delay, the whole variation interval of the delay is divided into two subintervals with equal length. Respecting for the delay belongs to different subintervals, new criteria on stability analysis of the time delay systems are obtained by checking the variation of the derivative of the Lyapunov functional in the two subintervals. Then, by using the convexity properties of matrix inequality and some other new analysis techniques, new criteria are obtained for the asymptotical stable of the time delay systems. The given numerical examples show that the derived criteria can lead to much less conservative results than those obtained based on the existing methods.