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On Linear-Quadratic Differential Games for Fractional-Order Systems
Doklady Mathematics, 2023Summary: We consider a finite-horizon two-person zero-sum differential game in which the system dynamics is described by a linear differential equation with a Caputo fractional derivative and the goals of control of the players are, respectively, to minimize and maximize a quadratic terminal-integral cost function.
Gomoyunov, M. I., Lukoyanov, N. Yu.
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Survey of results on quadratic differential systems
2021Quadratic differential systems occur often in many areas of applied mathematics, in population dynamics [145], nonlinear mechanics [236, 237, 69], chemistry, electrical circuits, neural networks, laser physics, hydrodynamics [347, 328, 183, 191], astrophysics [80] and others [280, 154, 102].
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