Search Results - "Nikol’skii, M. S."

On the Continuity of the Optimal Time As a Function of the Initial State for Linear Controlled Objects with Integral Constraints on Controls by Nikol’skii, M. S.

“…A traditional object of study in the mathematical theory of optimal control is a controlled object with geometric constraints on the control vector  𝑢 . At…”
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On the Maximum Guaranteed Payoff in Some Problems of Conflict Control of Multistep Processes by Nikol’skii, M. S.

“…We consider multistep conflict-controlled processes with two controlling parties. The duration of the process is fixed, and there are no constraints on the…”
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Estimation of Reachable Sets from Above with Respect to Inclusion for Some Nonlinear Control Systems by Nikol’skii, M. S.

“…The study of reachable sets of controlled objects is an important research area in optimal control theory. Such sets describe in a rough form the dynamical…”
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Optimal production control problem taking into account environmental pollution by Nikol’skii, M. S.

“…We consider a simplified production control model taking into account environmental pollution. We obtain constructive conditions under which each optimal…”
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On a size-structured population dynamics model by Nikol’skii, M. S.

“…We consider a linear size-structured population dynamics model. For this model with a nonlinear global boundary condition that has a biological meaning, we…”
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Linear Controlled Objects with State Constraints. Approximate Calculation of Reachable Sets by Nikol’skii, M. S.

“…Linear controlled objects are intensively studied in modern control theory. An important dynamic characteristic of such objects is their reachable sets. For…”
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On an optimal control problem related to A.D. Bazykin’s general predator-prey model by Nikol’skii, M. S.

“…We consider a controlled analog of A.D. Bazykin’s predator-prey model and study the time optimization problem for this model. Under broad assumptions, we prove…”
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Existence of Nash Equilibria for Linear Differential Games in Programmed Strategies by Nikol’skii, M. S.

“…We consider a linear differential game of N players described by a linear equation and establish a sufficient condition of the general form for the…”
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On a Minimax Problem for the Spread of Trajectories of a Nonlinear Plant by Nikolskii, M. S.

“…We consider a dynamic plant subjected to two controls. The first control is managed by the minimizing player; it is a constant vector chosen from a given set…”
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On the time optimization problem for two-dimensional control systems by Nikol’skii, M. S.

“…We consider a time optimization problem for two-dimensional nonlinear control systems. For a constraint for the control vector u we take a convex polygon U …”
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On a linear problem of tracing a given motion by Nikol’skii, M. S.

“…In the present paper, we consider the problem on the optimal tracing of a given vector function with the use of a generalized projection of the trajectory of a…”
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On the accompanying set in optimal control problems by Nikol’skii, M. S.

“…We consider an optimal control problem with fixed initial condition and with a terminal set that is specified by finitely many nonlinear inequalities and…”
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Study of an optimal control problem related to the Solow control model by Nikol’skii, M. S.

“…We study the Solow model of optimal economic growth. The statement of the optimal control problem under consideration contains mixed constraints on the…”
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On the continuity of the Bellman function in an optimal control problem with monotone dynamics by Nikol'skii, M S

“…(ProQuest: Abstract omitted; see image)[PUBLICATION ABSTRACT]…”
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Geochemical conditions for the isolation of the long-lived radioisotope technetium-99 by Laverov, N. P., Yudintsev, S. V., Omel’yanenko, B. I., Nikonov, B. S., Nikol’skii, M. S.

“…Conditions required for the isolation of Tc-bearing wastes include their incorporating into metallic alloys and placement in underground waste repositories…”
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Singular Sets of Extremal Controls in Optimal Control Problems by Nikol’skii, M. S.

“…Some optimal control problems are considered with an integral functional (to be minimized), fixed motion time of the controlled object, and free right…”
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On the Stackelberg equilibrium in programmed strategies in linear differential games by Nikol'skii, M S

“…(ProQuest: Abstract omitted; see image)[PUBLICATION ABSTRACT]…”
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On some properties of Nash equilibrium points in two-person games by Nikol’skii, M. S.

“…In modern game theory, a lot of attention is paid to the concept of Nash equilibrium. The paper is devoted to the study of some properties of the set A of Nash…”
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A Nonlinear Identification Problem by Nikol’skii, M. S.

“…We consider a nonlinear dynamic system with an unknown vector parameter in its description. An observer can calculate the phase vector of this system on the…”
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A Study of the Generalized Pontryagin Test Example from the Theory of Differential Games by Nikol’skii, M. S.

“…A generalization of L.S.Pontryagin’s test example from the theory of differential games is considered. The study is based on Pontryagin’s first direct method,…”
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