The computation of Gram matrix via the solution of Lyapunov equation

Author

Sreeram, V. ; Agathoklis, P.

Author_Institution

Dept. of Electr. & Electron. Eng., Univ. of Western Australia, Perth, WA, Australia

fYear

1991

fDate

11-13 Dec 1991

Firstpage

2092

Abstract

New properties of the Gram matrix are presented. It is shown that the Gram matrix is the observability or controllability Gramians with the system realization in some special forms. It is further shown that these properties can be easily used for the computation of the Gram matrix in the time domain. Since the method involves only matrix manipulations, it is convenient to use in MATLAB. This method is shown to be more efficient than the existing frequency-domain techniques. The method is illustrated by a numerical example

Keywords

controllability; matrix algebra; observability; Gram matrix; Lyapunov equation; MATLAB; controllability Gramians; observability Gramian; time domain; Computer applications; Control systems; Controllability; Frequency domain analysis; Integral equations; MATLAB; Mathematical model; Observability; Power system modeling; Reduced order systems; Time domain analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1991., Proceedings of the 30th IEEE Conference on

Conference_Location

Brighton

Print_ISBN

0-7803-0450-0

Type

conf

DOI

10.1109/CDC.1991.261498

Filename

261498

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3473571