Construction of suboptimal solution of the singularly perturbed problem of minimal-intensity control

For the linear singularly perturbed system, consideration was given to the problem of transient process optimization which resides in determining a multidimensional minimal-intensity control. It was demonstrated that solution of two nonperturbed problems of optimal control of lower dimensionality suffices to construct its asymptotically approximate solution.

Presented by the member of Editorial Board: A. M. Krasnosel'skii