Exponential Stability of a Linear Distributed Parameter Bioprocess with Input Delay in Boundary Control
Joint Authors
Teng, MingYan
Zheng, Fu
Fu, LingLing
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-08-06
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We consider a linear distributed parameter bioprocess with boundary control input possessing a time delay.
Using a simple boundary feedback law, we show that the closed-loop system generates a uniformly bounded C0-semigroup of linear operators under a certain condition with respect to the feedback gain.
After analyzing the spectrum configuration of closed-loop system and verifying the spectrum determined growth assumption, we show that the closed-loop system is exponentially stable.
Thus, we demonstrate that the linear distributed parameter bioprocess preserves the exponential stability for arbitrary time delays.
American Psychological Association (APA)
Zheng, Fu& Fu, LingLing& Teng, MingYan. 2013. Exponential Stability of a Linear Distributed Parameter Bioprocess with Input Delay in Boundary Control. Journal of Function Spaces،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1006054
Modern Language Association (MLA)
Zheng, Fu…[et al.]. Exponential Stability of a Linear Distributed Parameter Bioprocess with Input Delay in Boundary Control. Journal of Function Spaces No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-1006054
American Medical Association (AMA)
Zheng, Fu& Fu, LingLing& Teng, MingYan. Exponential Stability of a Linear Distributed Parameter Bioprocess with Input Delay in Boundary Control. Journal of Function Spaces. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1006054
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1006054