Title data
Mironchenko, Andrii:
Live systems of varying dimension : modeling and stability.
In:
2023 62nd IEEE Conference on Decision and Control (CDC) : Proceedings. -
Piscataway, NJ, USA
: IEEE
,
2023
. - pp. 3956-3961
ISBN 979-8-3503-0124-3
DOI: https://doi.org/10.1109/CDC49753.2023.10383609
Project information
Project title: |
Project's official title Project's id Lyapunov theory meets boundary control systems MI 1886/2-2 |
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Project financing: |
Deutsche Forschungsgemeinschaft |
Abstract in another language
A major limitation of the classical control theory is the assumption that the state space remains stationary in time. This prevents analyzing and even formalizing the stability and control problems for open multi-agent systems whose agents may enter or leave the network, industrial processes where the sensors or actuators may be exchanged frequently, smart grids, etc. In this work, we propose a framework of live systems that covers a rather general class of systems with a time-varying state space. We argue that input-to-state stability is a proper stability notion for this class of systems, and many of the classic tools and results, such as Lyapunov methods and superposition theorems, can be extended to this setting.
Further data
Item Type: | Article in a book |
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Refereed: | Yes |
Keywords: | nonlinear systems; modeling; infinite-dimensional systems; input-to-state stability; Lyapunov methods; impulsive systems; multi-agent systems |
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 Research Institutions > Central research institutes > Bayreuth Research Center for Modeling and Simulation - MODUS |
Result of work at the UBT: | No |
DDC Subjects: | 500 Science > 510 Mathematics |
Date Deposited: | 06 Mar 2025 11:50 |
Last Modified: | 06 Mar 2025 11:50 |
URI: | https://eref.uni-bayreuth.de/id/eprint/92662 |