DocumentCode :
1180312
Title :
A note on the properties of compartmental systems
Author :
Sandberg, I.
Volume :
25
Issue :
6
fYear :
1978
fDate :
6/1/1978 12:00:00 AM
Firstpage :
379
Lastpage :
380
Abstract :
Two results are proved concerning the equations of a class of nonlinear compartmental systems. For the time-invariant case it is proved that every bounded solution approaches a limit at an exponential rate as 
(which, for example, rules out the possibility that limit cycles can occur). For the case in which there are cyclic time variations with period 
, it is shown (for a more general class of equations than has been considered previously) that the equations have a globally stable -periodic solution.
(which, for example, rules out the possibility that limit cycles can occur). For the case in which there are cyclic time variations with period , it is shown (for a more general class of equations than has been considered previously) that the equations have a globally stable -periodic solution.Keywords :
Nonlinear systems, continuous-time; Stability; Limit-cycles; Nonlinear equations; Temperature;
fLanguage :
English
Journal_Title :
Circuits and Systems, IEEE Transactions on
Publisher :
ieee
ISSN :
0098-4094
Type :
jour
DOI :
10.1109/TCS.1978.1084482
Filename :
1084482
Link To Document :
