New results for analysis of systems with repeated nonlinearities

This work presents new results for analysis of systems with repeated monoto nic or slope restricted nonlinearities. We first give new integral quadrati c constraints (IQCs) that are satisfied by the inputs and outputs of diagon al operators with equal, monotonic or slope restricted, diagonal entries. T hen, we present new analysis results For systems with repeated nonlineariti es, obtained using the new IQCs. For the type of nonlinearities considered in this work, the new results are less conservative than previously known r esults. The computation of the new conditions is discussed. The results in this paper apply also to problems with nonrepeated nonlinearities whenever these are representable as the interconnection of multiple repeated nonline arities and a constant matrix. (C) 2001 Elsevier Science Ltd. All rights re served.