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Conic Sector Based Stability Criteria for Time-Delay Systems

Publication ,  Conference
Gong, Z; Bridgeman, LJ
Published in: Proceedings of the IEEE Conference on Decision and Control
January 1, 2021

A novel way to establish conic bounds for stable linear time-invariant (LTI) systems with time-varying state delays is proposed. Two linear matrix inequality (LMI) conditions are provided. Alone, they can be used as analysis tools, determining conic bounds for LTI systems subject to bounded, time-varying state delays. Combined with the Conic Sector Theorem, the conic bounds established by the proposed LMIs can be used directly to design conic controllers, ensuring the closed-loop input-output stability.

Duke Scholars

Published In

Proceedings of the IEEE Conference on Decision and Control

DOI

EISSN

2576-2370

ISSN

0743-1546

Publication Date

January 1, 2021

Volume

2021-December

Start / End Page

4762 / 4767
 

Citation

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ICMJE
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Gong, Z., & Bridgeman, L. J. (2021). Conic Sector Based Stability Criteria for Time-Delay Systems. In Proceedings of the IEEE Conference on Decision and Control (Vol. 2021-December, pp. 4762–4767). https://doi.org/10.1109/CDC45484.2021.9683127
Gong, Z., and L. J. Bridgeman. “Conic Sector Based Stability Criteria for Time-Delay Systems.” In Proceedings of the IEEE Conference on Decision and Control, 2021-December:4762–67, 2021. https://doi.org/10.1109/CDC45484.2021.9683127.
Gong Z, Bridgeman LJ. Conic Sector Based Stability Criteria for Time-Delay Systems. In: Proceedings of the IEEE Conference on Decision and Control. 2021. p. 4762–7.
Gong, Z., and L. J. Bridgeman. “Conic Sector Based Stability Criteria for Time-Delay Systems.” Proceedings of the IEEE Conference on Decision and Control, vol. 2021-December, 2021, pp. 4762–67. Scopus, doi:10.1109/CDC45484.2021.9683127.
Gong Z, Bridgeman LJ. Conic Sector Based Stability Criteria for Time-Delay Systems. Proceedings of the IEEE Conference on Decision and Control. 2021. p. 4762–4767.

Published In

Proceedings of the IEEE Conference on Decision and Control

DOI

EISSN

2576-2370

ISSN

0743-1546

Publication Date

January 1, 2021

Volume

2021-December

Start / End Page

4762 / 4767