Geodesic
Optimal control of threefold integrator according to minimum consumption
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 9 (2012), pp. 118-129

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The solution of optimal control problem of the threefold integrator with any boundary conditions by method of moments is considered. It is shown that in case of minimization of total impulse of control influence or control consumption, the solution of $L_{\infty}$-moments problem is approximated by optimal impulse control. The general solution of the problem is obtained and the structure of optimal control is researched. The example of solution of a problem with symmetric boundary conditions is considered.
Keywords: threefold integrator, optimal control, control consumptions, problem of moments, Krasovsky's maximum principle, impulse control. 
@article{VSGU_2012_9_a11,
     author = {Yu. N. Gorelov and M. V. Morozova},
     title = {Optimal control of threefold integrator according to minimum consumption},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {118--129},
     publisher = {mathdoc},
     number = {9},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2012_9_a11/}
}
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Yu. N. Gorelov; M. V. Morozova. Optimal control of threefold integrator according to minimum consumption. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 9 (2012), pp. 118-129. http://geodesic.mathdoc.fr/item/VSGU_2012_9_a11/