2021
DOI: 10.1007/978-3-030-86433-0_23
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On the Speed-in-Action Problem for the Class of Linear Non-stationary Infinite-Dimensional Discrete-Time Systems with Bounded Control and Degenerate Operator

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Cited by 1 publication
(3 citation statements)
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“…We consider the system described by the equation 𝜕 2 u 𝜕t 2 − Δu + |u|u + 𝜗u = f (x, t) and Q = đ›ș × (0, T), (1) with initial u(x, 0) = u 0 (x), 𝜕u(x, 0) 𝜕t = u 1 (x), x ∈ đ›ș, (2) and the boundary condition…”
Section: Problem Statementmentioning
confidence: 99%
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“…We consider the system described by the equation 𝜕 2 u 𝜕t 2 − Δu + |u|u + 𝜗u = f (x, t) and Q = đ›ș × (0, T), (1) with initial u(x, 0) = u 0 (x), 𝜕u(x, 0) 𝜕t = u 1 (x), x ∈ đ›ș, (2) and the boundary condition…”
Section: Problem Statementmentioning
confidence: 99%
“…As is known, the speed-in-action problem is one of the first problems of mathematical theory of the optimal control. 1,2 As a generalization of a number of practical problems of designing optimal control systems, it has become one of the intensively studied problems. In the theory of optimal control for the processes described by ordinary differential equations, the speed-in-action problems are studied rather well.…”
Section: Introductionmentioning
confidence: 99%
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