Robustness of delayed multistable systems - CentraleSupélec Access content directly
Book Sections Year : 2017

Robustness of delayed multistable systems


In this chapter sufficient conditions for input-to-state stability (ISS) of delayed systems are presented using Lyapunov-Razumikhin functions. It is shown that ISS multistable systems are robust with respect to delays in the feedback path. First, the approach is illustrated by establishing the ISS property for the model of a non-linear pendulum, then delay-dependent robustness conditions are derived. Second, it is shown that, under certain assumptions, the problem of phase-locking analysis in droop-controlled inverter-based microgrids with delays can be reduced to the stability investigation of a nonlinear pendulum, and corresponding delay-dependent conditions for asymptotic phase-locking are derived for an exemplary microgrid consisting of two droop-controlled inverters.
Fichier principal
Vignette du fichier
Multistability_TD_Chapter (2).pdf (216.77 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-01632424 , version 1 (23-11-2017)


  • HAL Id : hal-01632424 , version 1


Denis Efimov, Johannes Schiffer, Romeo Ortega. Robustness of delayed multistable systems. G. Valmorbida; R. Sipahi; I. Boussaada; A. Seuret. Delays and Interconnections: Methodology, Algorithms and Applications, Springer, 2017, Lecture notes in Control and Information Sciences. ⟨hal-01632424⟩
191 View
173 Download


Gmail Facebook X LinkedIn More