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
ISBN
9781665436595
Publication Date
January 1, 2021
Volume
2021-December
Start / End Page
4762 / 4767
Citation
APA
Chicago
ICMJE
MLA
NLM
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
ISBN
9781665436595
Publication Date
January 1, 2021
Volume
2021-December
Start / End Page
4762 / 4767