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
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