Title :
Phase Portrait of the Riccati Equation from the Periodic Control Problem
Author :
Shayman, Mark A.
Author_Institution :
Department of Systems Science and Mathematics, Washington University, St. Louis, Missouri 63130
Abstract :
A comprehensive description is provided of the properties of the matrix Riccati differential equation in which the coefficient matrices are T-periodic for some T ≫ 0. Under very mild assumptions, the asymptotic behavior of every solution is described.
Keywords :
Centralized control; Control systems; Differential equations; Lagrangian functions; Least squares methods; Linear systems; Riccati equations; Stability; Sufficient conditions; Symmetric matrices;
Conference_Titel :
American Control Conference, 1984
Conference_Location :
San Diego, CA, USA
