@inproceedings{1f05bd2a5ce841a4b640ce0614e68e2a,
title = "Tropical abstractions of max-plus linear systems",
abstract = "This paper describes the development of finite abstractions of Max-Plus-Linear (MPL) systems using tropical operations. The idea of tropical abstraction is inspired by the fact that an MPL system is a discrete-event model updating its state with operations in the tropical algebra. The abstract model is a finite-state transition system: we show that the abstract states can be generated by operations on the tropical algebra, and that the generation of transitions can be established by tropical multiplications of matrices. The complexity of the algorithms based on tropical algebra is discussed and their performance is tested on a numerical benchmark against an existing alternative abstraction approach.",
keywords = "Abstraction, Definite form, Difference-bound matrix, MPL system, Reachability, Tropical algebra",
author = "Mufid, {Muhammad Syifa{\textquoteright}ul} and Dieky Adzkiya and Alessandro Abate",
note = "Publisher Copyright: {\textcopyright} Springer Nature Switzerland AG 2018.; 16th International Conference on Formal Modeling and Analysis of Timed Systems, FORMATS 2018 ; Conference date: 04-09-2018 Through 06-09-2018",
year = "2018",
doi = "10.1007/978-3-030-00151-3_16",
language = "English",
isbn = "9783030001506",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer Verlag",
pages = "271--287",
editor = "Jansen, {David N.} and Pavithra Prabhakar",
booktitle = "Formal Modeling and Analysis of Timed Systems - 16th International Conference, FORMATS 2018, Proceedings",
address = "Germany",
}