Global asymptotic stabilization of MIMO bilinear systems with undamped natural response

This paper considers the problem of globally asymptotic stabilization of multi-input multi-output bilinear systems with undamped natural response. It firstly presents a simple sufficient condition for construction of a static state feedback controller. Then under an additional condition on system detectability, two output dynamic feedback controllers with saturation bounded control are constructed. The globally asymptotic stability of the closed loop systems using these controllers are established by using Lyapunov stability approach