Output feedback stabilization for time-delay nonholonomic systems with polynomial conditions

- Output feedback stabilization for a class of time-delay nonholonomic systems is studied.
- Time-delay exists in linear and high-order growth parts of system nonlinearities.
- The controller is constructed by using input-state-scaling technique, homogeneous domination approach and Lyapunov-Krasovskii theorem.
- The proposed controller can guarantee that all the system states are converge to the origin.

This paper addresses the problem of output feedback stabilization for a class of time-delay nonholonomic systems. One distinct characteristic or difficulty of this paper is that time-delay exists in polynomial nonlinear growing conditions. Based on input-state-scaling technique, homogeneous domination approach and Lyapunov-Krasovskii theorem, a new output feedback control law which guarantees all the system states converge to the origin is designed. Examples are provided to demonstrate the validness of the proposed approach.