DocumentCode
2462860
Title
Stability analysis of three-dimensional state-space systems
Author
Zhenya, He ; Weiping, Zhu
Author_Institution
Nanjing Inst. of Technol., China
fYear
1988
fDate
7-9 June 1988
Firstpage
2097
Abstract
The authors present a novel approach for the stability analysis of three-dimensional state-space systems based on the two-dimensional Fornasini-Marchesini model. Some necessary and sufficient conditions for the stability of the systems are given in terms of the norms of state matrices. It is shown that it is efficient to test the instability of a system in accordance with the unstable state matrices. Particularly, if the state matrices can commute, it is convenient to verify the stability of a system by eigenvalues of the state matrices.<>
Keywords
eigenvalues and eigenfunctions; matrix algebra; multidimensional systems; stability; state-space methods; eigenvalues; norms of state matrices; stability analysis; three-dimensional state-space systems; two-dimensional Fornasini-Marchesini model; unstable state matrices; Bismuth; Digital filters; Eigenvalues and eigenfunctions; Helium; Ice; Multidimensional signal processing; Polynomials; Signal design; Stability analysis; System testing;
fLanguage
English
Publisher
ieee
Conference_Titel
Circuits and Systems, 1988., IEEE International Symposium on
Conference_Location
Espoo, Finland
Type
conf
DOI
10.1109/ISCAS.1988.15355
Filename
15355
Link To Document