On one method of finding optimal control in construction industry

Abstract

Abstract In this paper we consider options for solving optimal control problems with a quadratic quality criterion. There are optimal management tasks in the construction industry also. For example, in optimizing the construction technology of large complexes, construction work cycles at the facilities. A quadratic quality criterion leads to Riccati matrix differential equations that are generally not solvable in quadratures. In this paper we consider solution options in the case of a stationary system. We find a symmetric solution of algebraic matrix Riccati equation. We offer some new analytical methods for solving this nonlinear equation in various cases.