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Min-max functions

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/9781119818175openalex-snapshot
Algebra and Applications 1
inferredcites →https://doi.org/10.1007/978-3-540-48654-1_17openalex-snapshot
A Dynamic Approach to Timed Behaviour
inferredcites →https://doi.org/10.1007/978-3-642-48708-8openalex-snapshot
Minimax Algebra
inferredcites →https://doi.org/10.1007/bf01805562openalex-snapshot
Eigenvalues of dynamic max-min systems
inferredcites →https://doi.org/10.1007/bfb0033556openalex-snapshot
Cycle times and fixed points of min-max functions
inferredcites →https://doi.org/10.1016/0012-365x(78)90011-0openalex-snapshot
A characterization of the minimum cycle mean in a digraph
inferredcites →https://doi.org/10.1016/0024-3795(88)90233-9openalex-snapshot
Combinatorial matrix analysis: An overview
inferredcites →https://doi.org/10.1016/0024-3795(93)90492-7openalex-snapshot
The power algorithm in max algebra
inferredcites →https://doi.org/10.1016/0165-0114(91)90130-iopenalex-snapshot
Minimax algebra and applications
inferredcites →https://doi.org/10.1016/0166-218x(94)90156-2openalex-snapshot
Synchronization and Linearity
inferredcites →https://doi.org/10.1016/s0167-5060(08)x7016-5openalex-snapshot
Linear and Combinatorial Optimization in Ordered Algebraic Structures
inferredcites →https://doi.org/10.1016/s0304-0208(08)72960-8openalex-snapshot
Linear Algebra in Dioids: A Survey of Recent Results
inferredcites →https://doi.org/10.1016/s1076-5670(08)70083-1openalex-snapshot
Minimax Algebra and Applications
inferredcites →https://doi.org/10.1057/jors.1962.10openalex-snapshot
Describing Industrial Processes with Interference and Approximating Their Steady-State Behaviour
inferredcites →https://doi.org/10.1063/1.2820117openalex-snapshot
An Introduction to Chaotic Dynamical Systems
inferredcites →https://doi.org/10.1070/rm1987v042n03abeh001439openalex-snapshot
On a new principle of superposition for optimization problems
inferredcites →https://doi.org/10.1090/advsov/013openalex-snapshot
Idempotent Analysis
inferredcites →https://doi.org/10.1109/5.21065openalex-snapshot
Introduction to special issue on dynamics of discrete event systems
inferredcites →https://doi.org/10.1109/5.21069openalex-snapshot
Algebraic tools for the performance evaluation of discrete event systems
inferredcites →https://doi.org/10.1109/tac.1985.1103925openalex-snapshot
A linear-system-theoretic view of discrete-event processes and its use for performance evaluation in manufacturing
inferredcites →https://doi.org/10.1109/tse.1980.230492openalex-snapshot
Performance Evaluation of Asynchronous Concurrent Systems Using Petri Nets
inferredcites →https://doi.org/10.1145/321479.321485openalex-snapshot
Scheduling Parallel Computations
inferredcites →https://doi.org/10.21236/ada447732openalex-snapshot
Performance Analysis and Optimization of Asynchronous Circuits Produced by Martin Synthesis
inferredcites →https://doi.org/10.21236/ada447734openalex-snapshot
Performance Analysis and Optimization of Asynchronous Circuits
inferredcites →https://doi.org/10.4324/9780429502309openalex-snapshot
An Introduction to Chaotic Dynamical Systems

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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A Policy Iteration Algorithm for Computing Fixed Points in Static Analysis of Programs
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A Survey of the Theory of Min-Max Systems
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Dynamic matrices and the cost analysis of concurrent programs
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Periodic and non-periodic min-max equations
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Taylor Series Expansions
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Introduction to the Modelling, Control and Optimization of Discrete Event Systems
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Properties of Change Diagrams
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Note on Structural Properties and Sizes of Eigenspaces of Min-max Functions
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A Dynamic Approach to Timed Behaviour
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The Max-Atom Problem and Its Relevance
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Max-plus Algebraic Tools for Discrete Event Systems, Static Analysis, and Zero-Sum Games
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Observabilities and reachabilities of nonlinear DEDS and coloring graphs
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Methods and applications of (max,+) linear algebra
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Karnaugh Maps of Logical Systems and Applications in Digital Circuit Design
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Max–plus matrix method and cycle time assignability and feedback stabilizability for min–max–plus systems
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Min–Max Inequalities and the Timing Verification Problem with Max and Linear Constraints
inferred← citeshttps://doi.org/10.1007/s10626-006-0004-xopenalex-snapshot
An Algorithm for Timing Verification of Systems Constrained by Min–max Inequalities
inferred← citeshttps://doi.org/10.1007/s10626-012-0137-zopenalex-snapshot
The level set method for the two-sided max-plus eigenproblem
inferred← citeshttps://doi.org/10.1007/s10626-014-0204-8openalex-snapshot
Eigenproblems of latin squares in bipartite (min,max,+)-systems
inferred← citeshttps://doi.org/10.1007/s10898-007-9141-5openalex-snapshot
Globally optimal solutions of max–min systems
inferred← citeshttps://doi.org/10.1007/s11633-006-0076-yopenalex-snapshot
Balance properties and stabilization of min-max systems
inferred← citeshttps://doi.org/10.1007/s11633-010-0254-9openalex-snapshot
Independent cycle time assignment for min-max systems
inferred← citeshttps://doi.org/10.1016/j.automatica.2016.03.018openalex-snapshot
Irredundant lattice representations of continuous piecewise affine functions
inferred← citeshttps://doi.org/10.1016/j.ecoinf.2025.103479openalex-snapshot
Machine learning models for water quality: Predicting pollutant loads and assessing conservation practice's effectiveness in agricultural fields
inferred← citeshttps://doi.org/10.1016/j.fss.2025.109654openalex-snapshot
Global and approximate optimization for constrained max-min systems
inferred← citeshttps://doi.org/10.1016/j.fss.2026.110003openalex-snapshot
Global robustness of min-max systems over a finite horizon
inferred← citeshttps://doi.org/10.1016/j.ifacol.2024.07.011openalex-snapshot
Stability of Time-invariant Max-Min-Plus-Scaling Discrete-Event Systems with Diverse States
inferred← citeshttps://doi.org/10.1016/j.ifacol.2024.10.203openalex-snapshot
Bounds on the growth rate of time-invariant switching max-min-plus-scaling discrete-event systems
inferred← citeshttps://doi.org/10.1016/j.ipl.2009.11.007openalex-snapshot
Hard problems in max-algebra, control theory, hypergraphs and other areas
inferred← citeshttps://doi.org/10.1016/j.jmaa.2013.07.076openalex-snapshot
Computing the smallest fixed point of order-preserving nonexpansive mappings arising in positive stochastic games and static analysis of programs
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Solving linear equations over maxmin-ω systems
inferred← citeshttps://doi.org/10.1016/j.laa.2026.04.030openalex-snapshot
On the maxmin-ω eigenspaces and their over-approximation by zones
inferred← citeshttps://doi.org/10.1016/j.na.2008.03.052openalex-snapshot
Output feedback stabilization for a class of nonlinear time-evolution systems
inferred← citeshttps://doi.org/10.1016/j.sysconle.2004.05.009openalex-snapshot
The balance problem of min–max systems is co-NP hard
inferred← citeshttps://doi.org/10.1016/j.tcs.2008.08.014openalex-snapshot
Time separations of cyclic event rule systems with min–max timing constraints
inferred← citeshttps://doi.org/10.1016/s0005-1098(02)00271-6openalex-snapshot
On stabilization of min–max systems
inferred← citeshttps://doi.org/10.1016/s0304-3975(02)00229-3openalex-snapshot
Conditions for the structural existence of an eigenvalue of a bipartite (min,max,+)-system
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From max-plus algebra to nonexpansive mappings: a nonlinear theory for discrete event systems
inferred← citeshttps://doi.org/10.1016/s0362-546x(02)00170-0openalex-snapshot
Spectral theorem for convex monotone homogeneous maps, and ergodic control
inferred← citeshttps://doi.org/10.1016/s0764-4442(97)82710-3openalex-snapshot
The duality theorem for min-max functions
inferred← citeshttps://doi.org/10.1016/s1076-5670(06)46002-xopenalex-snapshot
LULU Theory, Idempotent Stack Filters, and the Mathematics of Vision of Marr
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An introduction to idempotency
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Power Algorithms for (max,+)- and Bipartite (min,max,+)-Systems
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Dynamic Min-Max Problems
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Bounded Delay Timing Analysis of a Class of CSP Programs
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Idempotent Structures in Optimization
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A Cycle Time Computing Algorithm and its Application in the Structural Analysis of Min-max Systems
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Asymptotic Properties of Monotonic Nonexpansive Mappings
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Algebraic approach to time borrowing
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Analyse de systèmes min-max
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Cycle time assignment of min-max systems
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A constructive fixed point theorem for min-max functions
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Structure properties of min-max systems and existence of global cycle time
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Model predictive control for perturbed continuous piecewise affine systems with bounded disturbances
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Cycle Time Assignability and Feedback Design for Min-Max-Plus Systems
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Irredundant lattice piecewise affine representations and their applications in explicit model predictive control
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Output feedback stabilization of a class of single-input and single-output max-min-plus systems
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Floating Point Computation of Cycle Time for Min-max Functions
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Output feedback cycle time assignability of a class of single-input and single-output max-min-plus systems
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Cycle time assignment of min-max systems using a state feedback
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Generating probability distributions using multivalued stochastic relay circuits
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Asymptotic analysis of heaps of pieces and application to timed Petri nets
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Ultimate periodicity of orbits for min-max systems
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A Remark on Inseparability of Min–Max Systems
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State feedback stabilization and majorizing achievement of min-max-plus systems
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Algorithms for Generating Probabilities with Multivalued Stochastic Relay Circuits
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On the cycle time of non-autonomous min-max systems
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State feedback stabilization of single-input min-max-plus systems
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Solvability of Implicit Time-Invariant Max-Min-Plus-Scaling Discrete-Event Systems*
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TROPICAL POLYHEDRA ARE EQUIVALENT TO MEAN PAYOFF GAMES
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How to solve large scale deterministic games with mean payoff by policy iteration
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Disjointed Cycle Time Assignment for Min–Max Systems Using an Output Feedback
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Sparse data embedding and prediction by tropical matrix factorization
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Large Deviations of Products of Random Topical Operators
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A hierarchical control structure for a class of timed discrete event systems
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On bipartite min-max-plus systems
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Eigenvalues of Time-invariant Max-Min-Plus-Scaling Discrete-Event Systems
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Robust Stability Analysis for Autonomous Min-Max Systems
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Nonlinear Perron-Frobenius theory and discrete event systems
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A non-linear set-membership approach for the control of Discrete Event Systems
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An Efficient Algorithm for Nontrivial Eigenvectors in Max-Plus Algebra
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Reconstruct the Logical Network from the Transition Matrix
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Max-algebraic hybrid automata: Modelling and equivalences
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Correspondence principle for idempotent calculus and some computer applications
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Additional file 1 of Sparse data embedding and prediction by tropical matrix factorization
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