摘要: The Riccati equation for the linear quadratic optimal control problem involving retarded functional equations has been extensively studied in the literature through several alternative approaches. Among these, three quite differen... 展开 The Riccati equation for the linear quadratic optimal control problem involving retarded functional equations has been extensively studied in the literature through several alternative approaches. Among these, three quite different methods of obtaining the Riccati equation are worth mentioning: (a) the Hilbert space formulation of Delfour-Mitter using abstract evolution equations, (b) the Caratheodory lemma approach based on an extension of the Hamilton-Jacobi equation, (c) the approach via Fredholm integral equations and the related theory of the resolvent kernel. 收起