Reduction model method for local stabilization of time-varying nonlinear systems with input delays, structured nonlinearities, and uncertainties

@article{Mazenc2014ReductionMM,
  title={Reduction model method for local stabilization of time-varying nonlinear systems with input delays, structured nonlinearities, and uncertainties},
  author={Fr{\'e}d{\'e}ric Mazenc and Michael Malisoff},
  journal={2014 American Control Conference},
  year={2014},
  pages={4169-4174}
}
The reduction model approach is useful for stabilizing linear systems with arbitrarily long input delays. Here we adapt the approach to time varying nonlinear systems whose nonlinear parts satisfy certain structural conditions. We use Lyapunov-Krasovskii functionals to prove local stability of the closed loop systems. We provide estimates of the basins of attraction, and cover uncertainties acting on the model.