DocumentCode :
1178364
Title :
L_2 -stability of interconnected systems using a reformulation of the passivity theorem
Author :
Vidyasagar, M.
Volume :
24
Issue :
11
fYear :
1977
fDate :
11/1/1977 12:00:00 AM
Firstpage :
637
Lastpage :
645
Abstract :
In this paper, we give a reformulation of the well-known passivity theorem for single-loop systems, which removes the asymmetry between the conditions on the forward and feedback subsystems. This reformulation leads to stability as well as instability criteria for interconnected systems, and these are shown to contain known results as special cases.
Keywords :
Feedback systems; Interconnected systems; Large-scale networks and systems; Nonlinear systems, continuous-time; Passivity; Stability; Circuits and systems; Councils; Equations; Feedback; Hilbert space; Interconnected systems; Large-scale systems; Stability criteria; Sufficient conditions;
fLanguage :
English
Journal_Title :
Circuits and Systems, IEEE Transactions on
Publisher :
ieee
ISSN :
0098-4094
Type :
jour
DOI :
10.1109/TCS.1977.1084285
Filename :
1084285
Link To Document :
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