Extensions and Relaxations

S. I. Morina

ISBN 10: 1402005792 / ISBN 13: 9781402005794

Editore: Springer Netherlands Apr 2002, 2002

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This item is printed on demand - it takes 3-4 days longer - Neuware -In this book a general topological construction of extension is proposed for problems of attainability in topological spaces under perturbation of a system of constraints. This construction is realized in a special class of generalized elements defined as finitely additive measures. A version of the method of programmed iterations is constructed. This version realizes multi-valued control quasistrategies, which guarantees the solution of the control problem that consists in guidance to a given set under observation of phase constraints.Audience: The book will be of interest to researchers, and graduate students in the field of optimal control, mathematical systems theory, measure and integration, functional analysis, and general topology. 428 pp. Englisch.

Codice articolo 9781402005794

Dati bibliografici

• Titolo: Extensions and Relaxations
• Editore: Springer Netherlands Apr 2002
• Data di pubblicazione: 2002
• Lingua: Inglese
• ISBN 10: 1402005792
• ISBN 13: 9781402005794
• Rilegatura: Buch
• Condizione: Neu
• Dimensioni: 241 L x 160 A x 28 P (millimetri) 241 millimetri di larghezza per 160 millimetri di altezza per 28 millimetri di profondità
• Peso: 805 grammi

Descrizione articolo

Riassunto

In this book a general topological construction of extension is proposed for problems of attainability in topological spaces under perturbation of a system of constraints. This construction is realized in a special class of generalized elements defined as finitely additive measures. A version of the method of programmed iterations is constructed. This version realizes multi-valued control quasistrategies, which guarantees the solution of the control problem that consists in guidance to a given set under observation of phase constraints.

Audience: The book will be of interest to researchers, and graduate students in the field of optimal control, mathematical systems theory, measure and integration, functional analysis, and general topology.

Contenuti

Preface. 1. Phase Constraints and Boundary Conditions in Linear Control Problems. 2. General Structures. 3. Topological Constructions of Extensions and Relaxations. 4. Elements of Measure Theory and Extension Constructions. 5. Compactifications and Problems of Integration. 6. Non-Anticipating Procedures of Control and Iteration Methods for Constructing Them. 7. An Extension Construction for Set-Valued Quasi-Strategies. Conclusion. References. Notation. Index.