NEW VARIANTS OF EXPLICIT SOLUTIONSOF GENERALIZED RICCATI EQUATIONS

Abstract

In the linear quadratic control theory for systems with delays there exists a mathematical problem of finding explicit solutions of the system of generalized Riccati equations (GREs) which consists of an algebraic matrix equation, ordinary differential equation, partial differential equation. In [7] there was proposed an approach to finding explicit solutions of GREs. The paper presents new variants of explicit solutions obtained basing on this approach.