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Mathematics > Optimization and Control

arXiv:1803.05804 (math)
[Submitted on 15 Mar 2018]

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

Authors:Carsten W. Scherer, Joost Veenman
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Abstract:In this paper we provide a complete link between dissipation theory and a celebrated result on stability analysis with integral quadratic constraints. This is achieved with a new stability characterization for feedback interconnections based on the notion of finite-horizon integral quadratic constraints with a terminal cost. As the main benefit, this opens up opportunities for guaranteeing constraints on the transient responses of trajectories in feedback loops within absolute stability theory. For parametric robustness, we show how to generate tight robustly invariant ellipsoids on the basis of a classical frequency-domain stability test, with illustrations by a numerical example.
Subjects: Optimization and Control (math.OC)
Cite as: arXiv:1803.05804 [math.OC]
  (or arXiv:1803.05804v1 [math.OC] for this version)
  https://doi.org/10.48550/arXiv.1803.05804

Submission history

From: Carsten Scherer [view email]
[v1] Thu, 15 Mar 2018 15:25:12 UTC (194 KB)
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