Asymptotic solution of singularly perturbed linear-quadratic optimal control problems with discontinuous coefficients |
| |
Authors: | G A Kurina T H Nguyen |
| |
Institution: | 1.Voronezh State Academy of Forestry Engineering,Voronezh,Russia;2.Petro Vietnam University,Yen Hoa, Cau Giay, Ha Noi,Vietnam |
| |
Abstract: | An asymptotic solution of a singularly perturbed linear-quadratic optimal control problem with discontinuous coefficients
is constructed by directly substituting an boundary-layer asymptotic expansion of the solution into the condition of the problem
and considering a series of problems for finding the asymptotic terms. The error in the approximate solution is estimated.
It is shown that the values of the minimized functional do not increase when the next approximations of the optimal control
are used. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|