TY - JOUR
AU - Zoltán Ésik
AU - Uli Fahrenberg
AU - Axel Legay
AU - Karin Quaas
PY - 2017/01/01
Y2 - 2020/11/24
TI - An algebraic approach to energy problems II - the algebra of energy functions
JF - Acta Cybernetica
JA - Acta Cybern
VL - 23
IS - 1
SE - Regular articles
DO - 10.14232/actacyb.23.1.2017.14
UR - https://cyber.bibl.u-szeged.hu/index.php/actcybern/article/view/3924
AB - Energy and resource management problems are important in areas such as embedded systems or autonomous systems. They are concerned with the question whether a given system admits infinite schedules during which certain tasks can be repeatedly accomplished and the system never runs out of energy (or other resources). In order to develop a general theory of energy problems, we introduce energy automata: finite automata whose transitions are labeled with energy functions which specify how energy values change from one system state to another. We show that energy functions form a *-continuous Kleene ω-algebra, as an application of a general result that finitely additive, locally *-closed and T-continuous functions on complete lattices form *-continuous Kleene ω-algebras. This permits to solve energy problems in energy automata in a generic, algebraic way. In order to put our work in context, we also review extensions of energy problems to higher dimensions and to games.
ER -