Article ID Journal Published Year Pages File Type
752663 Systems & Control Letters 2010 8 Pages PDF
Abstract

In this paper we consider the matrix Riccati differential equation (RDE) that arises from linear-quadratic (LQ) optimal control problems. In particular, we establish explicit closed formulae for the solution of the RDE with a terminal condition using particular solutions of the associated algebraic Riccati equation. We discuss how these formulae change as assumptions are progressively weakened. An application to LQ optimal control is briefly analysed.

Related Topics
Physical Sciences and Engineering Engineering Control and Systems Engineering
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