Feedback stabilization of bilinearly coupled uncertain dynamical delay systems

A class of continuous feedback controls is presented which stabilizes a class of nonlinearly coupled uncertain dynamical delay systems based on a prototype that has the structure of two bilinearly coupled subsystems with state time-delay in the linear terms. The uncertainty in the class of systems is both state delay-dependent and input dependent and allows for quadratic growth with respect to the state. A delay-independent stability criterion is obtained for this problem.