Live systems of varying dimension : modeling and stability

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

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.