Local stabilization of nonlinear systems through the reduction model approach
We study a general class of nonlinear systems with input delays of arbitrary size. We adapt the reduction model approach to prove local asymptotic stability of the closed loop input delayed systems, using feedbacks that may be nonlinear. Our Lyapunov-Krasovskii functionals make it possible to determine estimates of the basins of attraction for the closed loop systems.
Publication Source (Journal or Book title)
IEEE Transactions on Automatic Control
Mazenc, F., & Malisoff, M. (2014). Local stabilization of nonlinear systems through the reduction model approach. IEEE Transactions on Automatic Control, 59 (11), 3033-3039. https://doi.org/10.1109/TAC.2014.2317292