Title :
A new scheme for the approximation of linear systems with bounded stable symmetric transfer matrix
Author :
Fortuna, L. ; Gallo, A. ; Nunnari, G.
Author_Institution :
Istituto di Elettrotecnica ed Elettronica, Catania Univ., Italy
Abstract :
A new approximation is presented for the class of symmetric bounded real systems, using a new type of nonlinear matrix equation. The originality of this equation consists in its solution. The authors consider the role that the eigenvalues of the matrix solution assume. They are invariant quantities, and each measures an energy contribution appearing in a dual balancing scheme
Keywords :
approximation theory; control system analysis; linear network analysis; linear systems; matrix algebra; bounded stable symmetric transfer matrix; dual balancing scheme; energy contribution; invariant quantities; linear system approximation; matrix solution eigenvalues; nonlinear matrix equation; symmetric bounded real systems; Coordinate measuring machines; Differential equations; Eigenvalues and eigenfunctions; Erbium; Linear approximation; Linear matrix inequalities; Linear systems; Riccati equations; State-space methods; Symmetric matrices;
Conference_Titel :
Circuits and Systems, 1989., IEEE International Symposium on
Conference_Location :
Portland, OR
DOI :
10.1109/ISCAS.1989.100405
