Geodesic
Approximate solution to the resource consumption minimization problem.~I. Construction of a~quasioptimal control
Sibirskij žurnal industrialʹnoj matematiki, Tome 14 (2011) no. 2, pp. 3-14

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For linear systems with constrained control and fixed transition time, we propose two methods for solving the resource consumption minimization problem approximately. We prove that the switching moments of resource-quasioptimal controls are independent of the initial conditions and constant for autonomous systems. Some region of the initial conditions is found for which the constraints on the control are never violated.
Keywords: optimal control, resource expenditure, linear system, switching moments, conjugate system, admissible region.
Mots-clés : quasioptimal control 
@article{SJIM_2011_14_2_a0,
     author = {V. M. Aleksandrov and V. A. Dykhta},
     title = {Approximate solution to the resource consumption minimization {problem.~I.} {Construction} of a~quasioptimal control},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {3--14},
     publisher = {mathdoc},
     volume = {14},
     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2011_14_2_a0/}
}
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V. M. Aleksandrov; V. A. Dykhta. Approximate solution to the resource consumption minimization problem.~I. Construction of a~quasioptimal control. Sibirskij žurnal industrialʹnoj matematiki, Tome 14 (2011) no. 2, pp. 3-14. http://geodesic.mathdoc.fr/item/SJIM_2011_14_2_a0/