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In this paper we provide a complete link between dissipation theory and acelebrated result on stability analysis with integral quadratic constraints.This is achieved with a new stability characterization for feedbackinterconnections based on the notion of finite-horizon integral quadraticconstraints with a terminal cost. As the main benefit, this opens upopportunities for guaranteeing constraints on the transient responses oftrajectories in feedback loops within absolute stability theory. For parametricrobustness, we show how to generate tight robustly invariant ellipsoids on thebasis of a classical frequency-domain stability test, with illustrations by anumerical example.

Stability analysis by dynamic dissipation inequalities: On merging frequency-domain techniques with time-domain conditions