摘要: The paper is devoted to quasilinear conflict-controlled processes of general form with a cylindrical terminal set. A specific feature that, instead dynamical system, we start representation solution in that allows one include an additive term the initial data and control unit. This makes it possible consider broad spectrum dynamic unified scheme. Our study based on method resolving functions. We obtain sufficient conditions for solvability pursuit problem at certain guaranteed time class strategies use information behavior opponent past, as well stroboscopic strategies. also find under which prehistory evader does not matter. times various schemes function are compared Pontryagin’s first direct method. qualitative results illustrated by example game simple motions incomplete sweeping special domains Pontryagin condition.
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