A PERTURBATIVE APPROACH TO THE SOLUTION FOR EXPECTATIONVALUE BASED QUANTUM OPTIMAL CONTROL OF MULTIHARMONICOSCILLATORS UNDER LINEAR CONTROL AGENTSESMA MERAL, METIN DEMIRALP (pp. 53-67)
Abstract.Matrix ODE boundary value problem of optimally controlled quantum multihar-monic oscillators are considered in perturbation expansion perspective. Expansion is shown tobe convergent for all finite control times. A scalar recursion is contructed for practial applica-tions. The convergence can be accelerated by changing the perturbation term appropriately.
Keywords: matrix ordinary differential equations, boundary value problems, perturbation ex-pansion.