Performance analysis and optimization of asynchronous circuits
Performance analysis and optimization of asynchronous circuits
A general approach to performance analysis and optimization of asynchronous circuits
A general approach to performance analysis and optimization of asynchronous circuits
Petri Net Theory and the Modeling of Systems
Petri Net Theory and the Modeling of Systems
Power Algorithms for (\max,+)- and Bipartite(\min,\max,+)-Systems
Discrete Event Dynamic Systems
Conditions for the structural existence of an eigenvalue of a bipartite (min, max, +)-system
Theoretical Computer Science
From max-plus algebra to nonexpansive mappings: a nonlinear theory for discrete event systems
Theoretical Computer Science
A Cycle Time Computing Algorithm and its Application in the Structural Analysis of Min-max Systems
Discrete Event Dynamic Systems
Technical Communique: On stabilization of min-max systems
Automatica (Journal of IFAC)
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Min-max systems are discrete event systems whose timing involves the maximum, minimum, and addition operations. In recent years, progresses have been made in such topics as cycle time computation, ultimate periodicity of trajectories, structural properties, cycle time assignment, etc. They are surveyed in this paper. Furthermore, as an attempt to open new directions for further research we propose two new models referred to as and-or net and and-or event graph. It is found that timed and-or event graphs can be algebraically described by min-max systems. We hope that these new models would accommodate more new results.