Robust peak-to-peak gain analysis using integral quadratic constraints

This work provides a framework to compute an upper bound on the robust peak-to-peak gain of discrete-time uncertain linear systems using integral quadratic constraints (IQCs). Such bounds are of particular interest in the computation of reachable sets and the l1-norm, as well as when safetycritical constraints need to be satisfied pointwise in time. The use of.-hard IQCs with a terminal cost enables us to deal with a wide variety of uncertainty classes, for example, we provide.-hard IQCs with a terminal cost for the class of parametric uncertainties. This approach unifies, generalizes, and significantly improves state-of-the- art methods, which is also demonstrated in a numerical example. Copyright (c) 2023 The Authors.