DocumentCode :
1189521
Title :
On stability preserving mappings
Author :
Michel, Anthony N. ; Miller, Richard K.
Volume :
30
Issue :
9
fYear :
1983
fDate :
9/1/1983 12:00:00 AM
Firstpage :
671
Lastpage :
679
Abstract :
We view systems as mappings which connect a set of inputs (input functions) with a set of outputs (output functions). Such systems are said to be stability preserving if a stable (asymptotically stable) reference input results in an output with the same stability properties. In the present paper we study the properties of such mappings, we establish a block diagram algebra for such mappings, and we relate the properties of such mappings to BIBO stability and I/O continuity (in the L_{\\infty} sense). We show how stability preserving mappings arise in some applications in a natural way.
Keywords :
Lyapunov methods, nonlinear systems; Nonlinear mathematics; Stability, nonlinear systems; Algebra; Asymptotic stability; Circuits and systems; DH-HEMTs; Extraterrestrial measurements; Feedback; Lyapunov method; Mathematics; Natural languages; Sufficient conditions;
fLanguage :
English
Journal_Title :
Circuits and Systems, IEEE Transactions on
Publisher :
ieee
ISSN :
0098-4094
Type :
jour
DOI :
10.1109/TCS.1983.1085406
Filename :
1085406
Link To Document :
بازگشت