Control of \((max, +)\)-linear systems minimizing delays

DOI10.1007/s10626-012-0143-1zbMath1272.93083OpenAlexW1999231368MaRDI QIDQ373011

Sébastien Lahaye, Jean-Louis Boimond, Laurent Houssin

Publication date: 21 October 2013

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

Full work available at URL: https://doi.org/10.1007/s10626-012-0143-1

zbMATH Keywords

controller synthesisdiscrete event systems\((max, +)\)-linear systems

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Discrete event control/observation systems (93C65) Synthesis problems (93B50) Max-plus and related algebras (15A80)

Related Items (14)

Optimistic optimization for model predictive control of \(\max\)-plus linear systems ⋮ Control of \((max, +)\)-linear systems minimizing delays ⋮ Analysis and control of max-plus linear discrete-event systems: an introduction ⋮ Design of control laws for timed event graphs networks subject to mutual exclusion constraints in min-plus algebra ⋮ Algebraic approaches for designing control laws of time-constrained networked conflicting timed event graphs ⋮ Feedback control to guarantee marking constraints in timed event graphs including disturbances: application to disassembly systems ⋮ Min-plus realizable control design for partially observable timed event graphs under marking constraints ⋮ Model predictive scheduling of semi-cyclic discrete-event systems using switching max-plus linear models and dynamic graphs ⋮ On just-in-time control of timed event graphs with input constraints: a semimodule approach ⋮ Duality and interval analysis over idempotent semirings ⋮ State‐Feedback Control for a Class of Timed Petri Nets Subject to Marking Constraints ⋮ Feedback control for a class of discrete event systems with critical time ⋮ 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

• Unnamed Item
• Unnamed Item
• Control of \((max, +)\)-linear systems minimizing delays
• Just in time control of constrained \((max,+)\)-linear systems
• Constructive versions of Tarski's fixed point theorems
• A survey of Petri net methods for controlled discrete event systems
• A lattice-theoretical fixpoint theorem and its applications
• Supremum Operators and Computation of Supremal Elements in System Theory
• Optimal closed-loop control of timed event graphs in dioids
• Max-Plus Control Design for Temporal Constraints Meeting in Timed Event Graphs
• Fixed points in partially ordered sets
• Model predictive control for max-plus-linear discrete event systems
• Model reference control for timed event graphs in diods

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