This article is cited in 1 paper

Approximations to time-optimal boundary controls for weak generalized solutions of the wave equation

D. A. Ivanov, M. M. Potapov

Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia

Abstract: For the wave equation, time-optimal control problems with two-sided boundary controls of three basic types are considered in classes of weak generalized solutions. Stable algorithms for computing approximate optimal times and optimal boundary controls are developed by modifying algorithms proposed earlier for the case of strong generalized solutions. The approximate solutions are proved to converge as the parameters of the finite-dimensional approximation are asymptotically refined and the errors in the specified terminal functions are reduced.

Key words: wave equation, boundary control, time-optimal control, inexact data, approximate solution, convergence.

UDC: 519.626

Received: 29.03.2016

DOI: 10.7868/S0044466917030073

 English version: Computational Mathematics and Mathematical Physics, 2017, 57:4, 607–625

Bibliographic databases:

• 
• 
• 
•