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Lyapunov criteria for robust forward completeness of distributed parameter systems

Title data

Mironchenko, Andrii:
Lyapunov criteria for robust forward completeness of distributed parameter systems.
In: Systems & Control Letters. Vol. 180 (2023) . - 105618.
ISSN 1872-7956
DOI: https://doi.org/10.1016/j.sysconle.2023.105618

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Project information

Project title:
Project's official title
Project's id
Lyapunov theory meets boundary control systems
MI 1886/2-2

Project financing: Deutsche Forschungsgemeinschaft

Abstract in another language

We show that the robust forward completeness for distributed parameter systems is equivalent to the existence of a corresponding Lyapunov function that increases at most exponentially along the trajectories.

Further data

Item Type: Article in a journal
Refereed: Yes
Keywords: nonlinear systems; infinite-dimensional systems; forward completeness; reachability sets; Lyapunov methods
Subject classification: Mathematics Subject Classification Code: 3D05 93C10 (93A10 93B35 93B03 93D30)
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics)
Profile Fields > Advanced Fields > Nonlinear Dynamics
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Profile Fields
Profile Fields > Advanced Fields
Result of work at the UBT: No
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 06 Mar 2025 13:24
Last Modified: 06 Mar 2025 13:24
URI: https://eref.uni-bayreuth.de/id/eprint/92653