Treffer: On the design of correct and optimal dynamical systems and games

Title:
On the design of correct and optimal dynamical systems and games
Authors:
Source:
Information processing letters. 88(1-2):59-65
Publisher Information:
Amsterdam: Elsevier Science, 2003.
Publication Year:
2003
Physical Description:
print, 26 ref
Original Material:
INIST-CNRS
Subject Terms:
Computer science, Informatique, Sciences exactes et technologie, Exact sciences and technology, Sciences appliquees, Applied sciences, Recherche operationnelle. Gestion, Operational research. Management science, Recherche opérationnelle et modèles formalisés de gestion, Operational research and scientific management, Programmation mathématique, Mathematical programming, Informatique; automatique theorique; systemes, Computer science; control theory; systems, Informatique théorique, Theoretical computing, Algorithmique. Calculabilité. Arithmétique ordinateur, Algorithmics. Computability. Computer arithmetics, Intelligence artificielle, Artificial intelligence, Résolution de problèmes, jeux, Problem solving, game playing, Automatique théorique. Systèmes, Control theory. Systems, Théorie des systèmes, System theory, Conception optimale, Optimal design, Concepción optimal, Conception programme, Program design, Concepción programa, Implémentation, Implementation, Implementación, Jeu dynamique, Dynamic game, Juego dinámico, Méthode formelle, Formal method, Método formal, Principe variationnel, Variational principle, Principio variacional, Programmation dynamique, Dynamic programming, Programación dinámica, Synthèse, Synthesis, Síntesis, Système contrôle commande, Monitoring control system, Sistema control mando, Système dynamique, Dynamical system, Sistema dinámico, Système hybride, Hybrid system, Sistema híbrido, Système réactif, Reactive system, Sistema reactivo, Traitement information, Information processing, Procesamiento información, Dérivation programme, Program derivation
Document Type:
Fachzeitschrift Article
File Description:
text
Language:
English
Author Affiliations:
Department of Computing Science and Engineering, Université Catholique de Louvain, Place Sainte-Barbe 2, 1348 Louvain-la-Neuve, Belgium
ISSN:
0020-0190
Rights:
Copyright 2004 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Computer science; theoretical automation; systems

Operational research. Management
Accession Number:
edscal.15125162
Database:
PASCAL Archive

Weitere Informationen

There exist various methods for designing dynamical systems and dynamical games in order to ensure correctness and optimality. In the paper, they are systematically organized as follows. Two variational principles are recalled. Firstly, solutions must be stationary: this leads to necessary conditions and to gradient algorithms. Secondly, solutions, if any, must be optimal or correct; this leads to sufficient conditions and to dynamic-programming algorithms. Methods based on these principles allow to design dynamical systems and games such as control systems, hybrid systems and reactive ones. Time may be discrete or continuous; correctness can be viewed as an abstraction of optimality. The structured presentation of design methods is intended to foster their understanding, integration, cross-fertilization and improvement.