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.
General
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