Extensions and Relaxations

Inbunden, Engelska, 2002

AvA.G. Chentsov,S.I. Morina,A. G. Chentsov,S. I. Morina,Aleksander Chentsov

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In this volume 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.

Produktinformation

Utgivningsdatum2002-04-30
Mått160 x 241 x 28 mm
Vikt805 g
FormatInbunden
SpråkEngelska
SerieMathematics and Its Applications
Antal sidor408
Upplaga2002
FörlagKluwer Academic Publishers
ISBN9781402005794

Tillhör följande kategorier

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.