Adaptive finite-time tracking control of switched nonlinear systems

The finite-time tracking issue of switched nonlinear systems is taken into consideration in this paper. By combining the common Lyapunov function approach and the structural characteristic of neural networks, a simplified adaptive controller is constructed. Under arbitrary switching, the constructed common controller ensures that the system output is located in a small neighborhood of the reference signal in finite time. Different from the existing literature on the finite-time stabilizing issue, the linear growth conditions for the nonlinear functions of the controlled systems can be removed; besides, the tracking problem is considered, which covers the finite-time stabilization issue as a special case.