Extension of Razumikhin's theorem for time-varying systems with delay
We prove a new extension of Razumikhin's theorem that applies to time-varying nonlinear systems with time-varying delays, using a novel 'strictification' method for converting a nonstrict Lyapunov function into a strict Lyapunov function. We apply our method to a model from identification theory, to illustrate how our new result can allow broader classes of delays than earlier methods.
Publication Source (Journal or Book title)
Proceedings of the American Control Conference
Mazenc, F., & Malisoff, M. (2016). Extension of Razumikhin's theorem for time-varying systems with delay. Proceedings of the American Control Conference, 2016-July, 84-88. https://doi.org/10.1109/ACC.2016.7524896