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Optimal control of a dynamical system representing a gantry crane. (English) Zbl 0452.49010


MSC:

49J15 Existence theories for optimal control problems involving ordinary differential equations
90B35 Deterministic scheduling theory in operations research

Keywords:

optimal design
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References:

[1] Hladun, A. R., andVan De Vegte, J.,Design of Optimal Passive Vibration Controls by Optimal Control Techniques, ASME Journal of Dynamic Systems, Measurement, and Control, Vol. 95, No. 4, 1973.
[2] Cooperrider, N. K., Cox, J. J., andHedrick, J. K.,Lateral Dynamics Optimization of a Conventional Railcar, ASME Journal of Dynamic Systems, Measurement, and Control, Vol. 97, No. 3, 1975.
[3] Kriechbaum, G. K. L., andNoges, E.,Suboptimal Control of Nonlinear Dynamical Systems via Linear Approximations, International Journal of Control, Vol. 13, pp. 1183-1195, 1971. · Zbl 0218.49014
[4] Garg, D. K.,Developments in Nonlinear Controller Synthesis?An Overview, ASME Journal of Dynamic Systems, Measurement, and Control, Vol. 100, No. 1, 1978. · Zbl 0396.93002
[5] Pontryagin, L. S., Boltyanskii, V. G., Gamkrelidze, R. V., andMishchenko, E. F.,The Mathematical Theory of Optimal Processes, John Wiley and Sons (Interscience Publishers), New York, New York, 1962.
[6] Banichuk, N. V., andChernousko, F. L.,Determination of Optimal and Quasioptimal Controls for a Mechanical Dynamical System, Izvestiya Akademii Nauk USSR, Mekhanika Tverdogo Tela, Vol. 10, No. 2, 1975.
[7] Bryson, A. E., andHo, Y. C.,Applied Optimal Control, Blaisdell, Waltham, Massachusetts, 1968.
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