On the control of discrete systems in an infinite time interval
USSR Computational Mathematics and Mathematical Physics
Viability theory
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The game problem of confinement of the trajectories of a dynamic system in a system of closed sets of a topological space using multivalued quasi-strategies as controls is studied. The solvability set is constructed by programmed iterations on a space of subsets of the position set. A unified scheme is applied to study confinement on finite, infinite and discrete time intervals.