V. M. Aleksandrov, V. A. Dykhta, “Approximate solution to the resource consumption minimization problem. II. Estimates for the proximity of controls”, Sib. Zh. Ind. Mat., 2011, Volume 14, Number 3,Pages <nobr>3

This article is cited in 2 papers

Approximate solution to the resource consumption minimization problem. II. Estimates for the proximity of controls

V. M. Aleksandrov^a, V. A. Dykhta^b

^a Sobolev Institute of Mathematics SB RAS, Novosibirsk, RUSSIA
^b Institute of Systems Dynamics and Control SB RAS, Irkutsk, RUSSIA

Abstract: The proximity is estimated of a resource quasioptimal control to the optimal control. We give a method for subdividing the bounded region of initial conditions into subregions and bringing the quasioptimal control closer to the resource optimal control.

Keywords: optimal control, quasioptimal control, resource consumption, linear system, switchingmoment, adjoint system, estimates for the proximity of controls, admissible region.

UDC: 519.626.1

Received: 19.07.2010