Integral quadratic constraints for monotonic and slope restricted diagonal operators

Studies the description, by means of integral quadratic constraints (IQCs), of a class of static diagonal operators with equal diagonal entries. In particular, the diagonal entries considered are monotonic and slope-restricted nonlinearities. First, we give new IQCs for this type of operators which exploit the equality among nonlinearities. Then we show how these results can be used to derive new stability conditions for systems containing repeated nonlinearities. A simple example shows that the new description can substantially reduce conservativeness, with respect to previous existing techniques, in the analysis of systems with diagonal operators