Abstract
For the problem I(u) = c’x(t*) → max, ẋ = Ax + bu + w(t), x(0) = x 0, H x(t*) = g, |u(t)| ≤ 1, t ∊ [0, t*] where w(t), t ∊ T is an unknown perturbation, an algorithm of constructing the optimal program-positional controller is justified.
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References
A.A. Feldbaum, Fundamentals of Theory of Optimal Automatic Systems. Fizmatgiz, Moscow, 1963.
R. Gabasov, F.M. Kirillova, Constructive Methods of Optimization. Part 2, University Press, Minsk, 1984.
R. Gabasov, F.M. Kirillova and O.I. Kostyukova, Constructing optimal feedback controls in linear problem. Doklady AN SSSR 320, No. 6 (1991), 1294–1299
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© 1993 Birkhäuser Verlag
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Gabasov, R., Kirillova, F.M., Balashevich, N.V. (1993). Program-positional Optimization for Dynamic Systems. In: Bulirsch, R., Miele, A., Stoer, J., Well, K. (eds) Optimal Control. ISNM International Series of Numerical Mathematics, vol 111. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7539-4_15
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DOI: https://doi.org/10.1007/978-3-0348-7539-4_15
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-7541-7
Online ISBN: 978-3-0348-7539-4
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