Just in Time Control of Constrained (max,+)-Linear Systems

This paper deals with just in time control of (max,+)-linear systems. The output tracking problem, considered in previous studies, is generalized by considering additional constraints in the control objective. The problem is formulated as an extremal fixed point computation. This control is applied...

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Bibliographic Details
Published in:Discrete event dynamic systems 2007-06, Vol.17 (2), p.159-178
Main Authors: Houssin, Laurent, Lahaye, Sébastien, Boimond, Jean-Louis
Format: Article
Language:English
Subjects:
Automatic
Computation
Computer Science
Constraints
Control systems
Discrete Mathematics
Dynamical Systems
Engineering Sciences
Just in time
Linear systems
Mathematics
Tracking problem
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Summary:This paper deals with just in time control of (max,+)-linear systems. The output tracking problem, considered in previous studies, is generalized by considering additional constraints in the control objective. The problem is formulated as an extremal fixed point computation. This control is applied to timetables computation for urban bus networks.
ISSN:0924-6703
1573-7594
DOI:10.1007/s10626-006-0009-5