  The goal of this paper is to assess the robustness of an uncertain linear
time-varying (LTV) system on a finite time horizon. The uncertain system is
modeled as a connection of a known LTV system and a perturbation. The
input/output behavior of the perturbation is described by time-domain, integral
quadratic constraints (IQCs). Typical notions of robustness, e.g. nominal
stability and gain/phase margins, can be insufficient for finite-horizon
analysis. Instead, this paper focuses on robust induced gains and bounds on the
reachable set of states. Sufficient conditions to compute robust performance
bounds are formulated using dissipation inequalities and IQCs. The analysis
conditions are provided in two equivalent forms as Riccati differential
equations and differential linear matrix inequalities. A computational approach
is provided that leverages both forms of the analysis conditions. The approach
is demonstrated with two examples
