FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2000, VOLUME 6, NUMBER 1, PAGES 23-42
V. M. Aleksandrov
Abstract
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We obtain the system of linear algebraic equations
connecting the differences of initial conditions for
normalized conjugate system and the difference
of time of process completion with those of phase
coordinates of controlled system. The quasioptimal
control being some piecewise continuous approximation
to required optimal control is used to ensure
the moving of the system from a defined initial state
to the origin for fixed time. The computing process and
the sequence of quasioptimal controls have been proved to
converge to optimal control. The radius with quadratic speed
of convergence has been found. The procedure of
minimization of iteration number has been considered.
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Last modified: April 11, 2000