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Prescribed-time input-to-state stability of infinite-dimensional systems

Xiaorong Sun, Jun Zheng and Guchuan Zhu

Paper (2024)

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Abstract

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
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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