Print Email Facebook Twitter Framework for Studying Stability of Switching Max-Plus Linear Systems Title Framework for Studying Stability of Switching Max-Plus Linear Systems Author Gupta, A. (TU Delft Team Bart De Schutter) van den Boom, A.J.J. (TU Delft Team Bart De Schutter) van der Woude, J.W. (TU Delft Mathematical Physics) De Schutter, B.H.K. (TU Delft Team Bart De Schutter) Date 2020 Abstract We propose a framework for studying the stability of discrete-event systems modelled as switching max-plus linear systems. In this framework, we propose a set of notions of stability for generic discrete-event systems in the max-plus algebra. Then we show the loss of equivalence of these notions for switching max-plus linear systems due to the lack of global monotonicity and the accompanying difficulty in rigorous analysis. This serves as a motivation to relax the assumption on monotonicity of the dynamics to positive invariance of max-plus cones. Then we proceed to generalise the notions of stability when the dynamics is restricted to such cones. The stability analysis approach presented in this paper serves as a first step to study the stability of a general class of switching max-plus linear systems. Subject Discrete event systemsmax-plus algebraswitchingstabilityinvariance To reference this document use: http://resolver.tudelft.nl/uuid:53a890f3-335c-4fd6-947d-5fc1903f20bb DOI https://doi.org/10.1016/j.ifacol.2021.04.008 ISSN 2405-8963 Source IFAC-PapersOnLine, 53 (4), 68-74 Event WODES 2020, 2020-11-11 → 2020-11-13, Virtual Conference, Brazil Part of collection Institutional Repository Document type journal article Rights © 2020 A. Gupta, A.J.J. van den Boom, J.W. van der Woude, B.H.K. De Schutter Files PDF 1_s2.0_S240589632100032X_main.pdf 653.71 KB Close viewer /islandora/object/uuid:53a890f3-335c-4fd6-947d-5fc1903f20bb/datastream/OBJ/view