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Construction of time-varying ISS-Lyapunov functions for impulsive systems

Title data

Bachmann, Patrick ; Ahmed, Saeed:
Construction of time-varying ISS-Lyapunov functions for impulsive systems.
In: IFAC-PapersOnLine. Vol. 56 (2023) Issue 1 . - pp. 1-6.
ISSN 2405-8963
DOI: https://doi.org/10.1016/j.ifacol.2023.02.001

Related URLs

Project information

Project financing: Andere
Dutch Research Council (NWO) (grant ESI.2019.005)

Abstract in another language

Time-varying ISS-Lyapunov functions for impulsive systems provide a necessary and sufficient condition for ISS. This property makes them a more powerful tool for stability analysis than classical candidate ISS-Lyapunov functions providing only a sufficient ISS condition. Moreover, time-varying ISS-Lyapunov functions cover systems with simultaneous instability in continuous and discrete dynamics for which candidate ISS-Lyapunov functions remain inconclusive. The present paper links these two concepts by suggesting a method of constructing time-varying ISS-Lyapunov functions from candidate ISS-Lyapunov functions, thereby effectively combining the ease of construction of candidate ISS-Lyapunov functions with the guaranteed existence of time-varying ISS-Lyapunov functions.

Further data

Item Type: Article in a journal
Refereed: Yes
Keywords: impulsive systems; input-to-state stability; ISS-Lyapunov function
Subject classification: arXiv Subjects: eess.SY
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
Result of work at the UBT: No
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 11 Mar 2025 08:14
Last Modified: 11 Mar 2025 08:14
URI: https://eref.uni-bayreuth.de/id/eprint/92725