Global robust stabilization of non-triangular time-delay system with uncertain dynamics and disturbances

This work studies the robust stabilization problem of non-triangular delayed nonlinear system. The considered system involves the uncertain dynamics, unknown control coefficient and time delay. By employing a novel Lyapunov-Krasovskii functional and using the backstepping method, we raise a robust controller to guarantee the states of the system bounded. An example is given to verify the validity of the strategy.