DocumentCode
1131311
Title
On the Stability of a Linear Bioprocess Model With Recycle Loop
Author
Sano, Hideki ; Kunimatsu, Noboru
Author_Institution
Comput. & Commun. Center, Kagoshima Univ., Japan
Volume
50
Issue
8
fYear
2005
Firstpage
1200
Lastpage
1205
Abstract
In this note, we treat a linear bioprocess model with recycle loop and analyze the spectrum of the closed-loop operator in order to discuss the exponential stability. It is shown that a 
-semigroup generated by the closed-loop operator satisfies the spectrum determined growth assumption and that the recycle loop works effectively for the process through a numerical simulation.
-semigroup generated by the closed-loop operator satisfies the spectrum determined growth assumption and that the recycle loop works effectively for the process through a numerical simulation.Keywords
asymptotic stability; biocontrol; closed loop systems; C0-semigroup; closed loop operator; exponential stability; linear bioprocess model; recycle loop; Differential equations; Feedback control; Hilbert space; Inductors; Numerical simulation; Output feedback; Recycling; Stability analysis; linear bioprocess model; recycle loop; spectrum determined growth assumption;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.2005.852555
Filename
1492565
Link To Document