Title :
Stability analysis of three-dimensional state-space systems
Author :
Zhenya, He ; Weiping, Zhu
Author_Institution :
Nanjing Inst. of Technol., China
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;
Conference_Titel :
Circuits and Systems, 1988., IEEE International Symposium on
Conference_Location :
Espoo, Finland
DOI :
10.1109/ISCAS.1988.15355
