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Discrete Event Systems in Dioid Algebra and Conventional Algebra.

This book concerns the use of dioid algebra as (max, +) algebra to treat the synchronization of tasks expressed by the maximum of the ends of the tasks conditioning the beginning of another task - a criterion of linear programming. A classical example is the departure time of a train which should wa...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Declerck, Philippe
Formato: Electrónico eBook
Idioma:Inglés
Publicado: London : Wiley, 2013.
Colección:FOCUS Series.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Cover; Contents; Title; Copyright; 1: Introduction; 1.1. General introduction; 1.2. History and three mainstays; 1.3. Scientific context; 1.4. Organization of the book; 2: Consistency; 2.1. Introduction; 2.2. Preliminaries; 2.3. Models and principle of the approach; 2.4. Analysis in the "static" case; 2.5. "Dynamic" model; 2.6. Extremal acceptable trajectories by series of matrices; 2.7. Consistency; 2.8. Conclusion; 3: Cycle Time; 3.1. Objectives; 3.2. Problem without optimization; 3.3. Optimization; 3.4. Conclusion; 3.5. Appendix; 4: Control with Specifications; 4.1. Introduction.
  • 4.2. Time interval systems4.3. Control synthesis; 4.4. Fixed-point approach; 4.5. Algorithm; 4.6. Example; 4.7. Conclusion; 5: Online Aspect of Predictive Control; 5.1. Introduction; 5.2. Control without desired output (problem 1); 5.3. Control with desired output (problem 2); 5.4. Control on a sliding horizon (problem 3): online and offline aspects; 5.5. Kleene star of the block tri-diagonal matrix and formal expressions of the sub-matrices; 5.6. Conclusion; Bibliography; List of Symbols; Index.