Title :
New results on the solution of a nonlinear matrix equation
Author :
Fortunà, L. ; Gallo, A. ; Nunnari, G.
Author_Institution :
Istituto di Eletrotecnica ed Electron., Catania Univ., Italy
Abstract :
Further results connected with the assumed role of the matrix particular solution of a new type of a nonlinear equation previously proposed are given. Two propositions are presented. Proposition 1 permits generalization of a set of propositions regarding the approximation of MIMO symmetric systems in the case of nondistinct eigenvalues. Proposition 2 aids in establishing a link between open-loop and closed-loop balancing by means of various results related to the cross Riccati equation and the cross Gramian equation
Keywords :
eigenvalues and eigenfunctions; matrix algebra; multivariable systems; MIMO symmetric systems; approximation models; closed-loop balancing; cross Gramian equation; cross Riccati equation; eigenvalues; nonlinear matrix equation; open loop balancing; Control systems; Eigenvalues and eigenfunctions; Erbium; Kalman filters; MIMO; Nonlinear equations; Optimal control; Riccati equations; Symmetric matrices; Time invariant systems;
Conference_Titel :
Decision and Control, 1988., Proceedings of the 27th IEEE Conference on
Conference_Location :
Austin, TX
DOI :
10.1109/CDC.1988.194504
