Just in time control of constrained \((max,+)\)-linear systems

DOI10.1007/s10626-006-0009-5zbMath1116.93039OpenAlexW2037929138MaRDI QIDQ884764

Jean-Louis Boimond, Laurent Houssin, Sébastien Lahaye

Publication date: 7 June 2007

Published in: Discrete Event Dynamic Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10626-006-0009-5

zbMATH Keywords

Transportation systemsJust in time control

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Discrete event control/observation systems (93C65) Algebraic methods (93B25)

Related Items (15)

Supervisory control of \((\max,+)\) automata: a behavioral approach ⋮ Control of \((max, +)\)-linear systems minimizing delays ⋮ Shrinking of time Petri nets ⋮ Feedback control to guarantee marking constraints in timed event graphs including disturbances: application to disassembly systems ⋮ Towards a tropical automaton product minimizing global completion times ⋮ Min-plus realizable control design for partially observable timed event graphs under marking constraints ⋮ On steady state of continuous min-plus systems ⋮ On just-in-time control of timed event graphs with input constraints: a semimodule approach ⋮ Analytic evaluation of the cycle time on networked conflicting timed event graphs in the (Max,+) algebra ⋮ On the control of max-plus linear system subject to state restriction ⋮ The Whitney embedding theorem for tropical torsion modules. Classification of tropical modules ⋮ Feedback control for a class of discrete event systems with critical time ⋮ Extreme events in solutions of hydrostatic and non-hydrostatic climate models ⋮ Control of Petri nets subject to strict temporal constraints using Max-Plus algebra ⋮ Modelling and feedback control for a class of Petri Nets with shared resources subject to strict time constraints using Max-plus algebra

Cites Work

• Modeling and control of hybrid timed event graphs with multipliers using (Min,+) algebra
• A lattice-theoretical fixpoint theorem and its applications
• Just-in-time control of timed event graphs: update of reference input, presence of uncontrollable input
• Internal model control and max-algebra: controller design
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Just in time control of constrained \((max,+)\)-linear systems