DocumentCode :
1182907
Title :
Stability criteria for off-diagonally monotone nonlinear dynamical systems
Author :
Ohta, Yuzo
Volume :
27
Issue :
10
fYear :
1980
fDate :
10/1/1980 12:00:00 AM
Firstpage :
956
Lastpage :
962
Abstract :
This paper discusses the global stability of a nonlinear dynamical system 
in which 
is a locally Lipschitz continuous off-diagonally monotone function and 
. Two results are proved: 1) if is piecewise-linear function and if 
is an 
-function, then a unique equilibrium point exists and it is globally asymptotically stable; 2) if is a nonlinear function with separate variables in the sense that is given by 
for all 
, and if is an -function satisfying 
for some nonnegative vector 
, then is globally asymptotically stable. These results are applied to the stability analyses of a large scale composite system and a compartmental system.
in which is a locally Lipschitz continuous off-diagonally monotone function and . Two results are proved: 1) if is piecewise-linear function and if is an -function, then a unique equilibrium point exists and it is globally asymptotically stable; 2) if is a nonlinear function with separate variables in the sense that is given by for all , and if is an -function satisfying for some nonnegative vector , then is globally asymptotically stable. These results are applied to the stability analyses of a large scale composite system and a compartmental system.Keywords :
Large-scale systems; Nonlinear systems; Stability; Interconnected systems; Large-scale systems; Nonlinear dynamical systems; Piecewise linear techniques; Stability analysis; Stability criteria; Vectors;
fLanguage :
English
Journal_Title :
Circuits and Systems, IEEE Transactions on
Publisher :
ieee
ISSN :
0098-4094
Type :
jour
DOI :
10.1109/TCS.1980.1084736
Filename :
1084736
Link To Document :
