Xiaorong Sun, Jun Zheng and Guchuan Zhu
Paper (2024)
An external link is available for this itemAbstract
We address the notion of prescribed-time input-to-state stability (PTISS) for infinite-dimensional systems (InFDSs). We prove a PTISS Lyapunov theorem, which indicates that if the system admits a PTISS Lyapunov functional (PTISS-LF) then it is PTISS. In addition, we provide a sufficient condition for ensuring the existence of a PTISS-LF for certain InFDSs under the framework of Hilbert spaces. As an example, we verify the PTISS property of parabolic equations with in-domain disturbances and conduct numerical simulations to illustrate the obtained result.
Uncontrolled Keywords
sufficient conditions; automation; control design; numerical simulation; stability analysis; mathematical models; Hilbert space
Subjects: | 2500 Electrical and electronic engineering > 2500 Electrical and electronic engineering |
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Department: | Department of Electrical Engineering |
PolyPublie URL: | https://publications.polymtl.ca/58811/ |
Conference Title: | 2024 39th Youth Academic Annual Conference of Chinese Association of Automation (YAC 2024) |
Conference Location: | Dalian, China |
Conference Date(s): | 2024-06-07 - 2024-06-09 |
Publisher: | Institute of Electrical and Electronics Engineers |
DOI: | 10.1109/yac63405.2024.10598638 |
Official URL: | https://doi.org/10.1109/yac63405.2024.10598638 |
Date Deposited: | 21 Aug 2024 00:09 |
Last Modified: | 25 Sep 2024 16:51 |
Cite in APA 7: | Sun, X., Zheng, J., & Zhu, G. (2024, June). Prescribed-time input-to-state stability of infinite-dimensional systems [Paper]. 2024 39th Youth Academic Annual Conference of Chinese Association of Automation (YAC 2024), Dalian, China. https://doi.org/10.1109/yac63405.2024.10598638 |
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