Title :
Robust asymptotic stability of 2-D shift-variant discrete state-space systems
Author :
Yost, Sandra A. ; Bauer, Peter H.
Author_Institution :
Dept. of Electr. Eng., Notre Dame Univ., IN, USA
Abstract :
The results described in this paper provide conditions for the asymptotic stability of 2-D shift-variant uncertain systems expressed using the Roesser state-space description. A necessary and sufficient condition for the asymptotic stability of 1-D systems involves checking all products of extreme matrices. The same test is shown to apply to 2-D systems, although the corresponding stability condition is sufficient, but not necessary
Keywords :
asymptotic stability; matrix algebra; multidimensional systems; robust control; signal processing; state-space methods; uncertain systems; 2D shift-variant systems; Roesser state-space description; discrete state-space systems; extreme matrices; robust asymptotic stability; uncertain systems; Asymptotic stability; Computed tomography; Laboratories; Matrix decomposition; Quantization; Robust stability; Signal analysis; Sufficient conditions; System testing; Uncertain systems; Uncertainty;
Conference_Titel :
Circuits and Systems, 1995., Proceedings., Proceedings of the 38th Midwest Symposium on
Conference_Location :
Rio de Janeiro
Print_ISBN :
0-7803-2972-4
DOI :
10.1109/MWSCAS.1995.504481
