Dynamic min-max problems

Authors
Schwiegelshohn, U Thiele, L
Citation
U. Schwiegelshohn et L. Thiele, Dynamic min-max problems, DISCR EVENT, 9(2), 1999, pp. 111-134
Citations number
25
Categorie Soggetti
AI Robotics and Automatic Control
Journal title
DISCRETE EVENT DYNAMIC SYSTEMS-THEORY AND APPLICATIONS
ISSN journal
09246703 → ACNP
Volume
9
Issue
2
Year of publication
1999
Pages
111 - 134
Database
ISI
SICI code
0924-6703(199905)9:2<111:DMP>2.0.ZU;2-V
Abstract
In this paper a method to check the solvability of a set of linear equation s in the (max, min, +) algebra is described. Then, extensions to dynamic (o r periodic) systems in the (max, min, +) algebra are provided. Further, som e results regarding the uniqueness of solutions in both cases are given. Fi nally, we address a more general quasi periodic problem and provide an algo rithm for its solution.