A Balanced Truncation Primer
Benjamin Rahn
TL;DR
This paper introduces balanced truncation, a systematic method from control theory for simplifying complex linear systems, with potential applications in physics, especially in large classical and quantum systems.
Contribution
It provides a comprehensive summary of the concepts and results needed to apply balanced truncation to complex systems.
Findings
Clarifies the theoretical foundations of balanced truncation.
Highlights potential applications in physics and quantum systems.
Provides guidelines for practical implementation.
Abstract
Balanced truncation, a technique from robust control theory, is a systematic method for producing simple approximate models of complex linear systems. This technique may have significant applications in physics, particularly in the study of large classical and quantum systems. These notes summarize the concepts and results necessary to apply balanced truncation.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsStability and Control of Uncertain Systems · Vehicle Dynamics and Control Systems · Fault Detection and Control Systems