TY - JOUR
AU - Aleksandrov, V.
AB - A simple algorithm for developing a quasioptimal control over resource consumption is considered. The control is used as an initial approach to an iterative procedure of computing an optimal control. A system of linear algebraic equations is derived which approximately relate increments of initial conditions of an adjoint system to increments of amplitudes of a quasioptimal control with respect to ultimate values. Local convergence of the computing process with a quadratic rate is proved, and the convergence radius is found. A condition for global convergence of the method is specified.
TI - Numerical method of solving a linear problem on the minimum of resource consumption
JF - Numerical Analysis and Applications
DO - 10.1134/S199542390903001X
DA - 2009-09-12
UR - https://www.deepdyve.com/lp/springer-journals/numerical-method-of-solving-a-linear-problem-on-the-minimum-of-0zx3LLoT29
SP - 197
EP - 215
VL - 2
IS - 3
DP - DeepDyve
ER -