O'Neil, Sean, Schirmer, Sophie, Langbein, Frank C. ![]() ![]() |
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Abstract
A strictly time-domain formulation of the log-sensitivity of the error signal to structured plant uncertainty is presented and analyzed through simple but representative classical and quantum systems. Results demonstrate that across a wide range of physical systems, maximization of performance (minimization of the error signal) asymptotically or at a specific time comes at the cost of increased log-sensitivity, implying a time-domain constraint analogous to the frequency-domain identity S(s)+T(s)=I . While of limited value in classical problems based on asymptotic stabilization or tracking, such a time-domain formulation is valuable in assessing the reduced robustness cost concomitant with high-fidelity quantum control schemes predicated on time-based performance measures.
Item Type: | Article |
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Date Type: | Publication |
Status: | Published |
Schools: | Computer Science & Informatics |
Publisher: | Institute of Electrical and Electronics Engineers |
ISSN: | 0018-9286 |
Date of First Compliant Deposit: | 10 November 2023 |
Date of Acceptance: | 28 October 2023 |
Last Modified: | 10 Nov 2024 17:45 |
URI: | https://orca.cardiff.ac.uk/id/eprint/163822 |
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