Approximate Synthesis of Distributed Bounded Control for a Parabolic Problem with Rapidly Oscillating Coefficients
AbstractWe study the problem of finding the optimal control in the form of feedback (synthesis) for a linear-quadratic problem in the form of a parabolic equation with rapidly oscillating coefficients and distributed control on the right-hand side (whose Fourier coefficients obey certain restrictions in the form of inequalities) and a quadratic quality criterion. We deduce the exact formula of synthesis and justify its approximate form corresponding to the replacement of rapidly oscillating coefficients by their averaged values.
How to Cite
KapustyanO. V., and RusinaA. V. “Approximate Synthesis of Distributed Bounded Control for a Parabolic Problem With Rapidly Oscillating Coefficients”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 67, no. 3, Mar. 2015, pp. 355-6, http://umj.imath.kiev.ua/index.php/umj/article/view/1988.