Boundary control of a linear distributed parameter bioprocess |
| |
| Authors: | Hideki Sano |
| |
| Institution: | Department of Mathematics and Computer Science, Kagoshima University, 1-21-35 Korimoto, Kagoshima 890-0065, Japan |
| |
| Abstract: | This paper is concerned with boundary control of a linear distributed parameter bioprocess. Huang's result (Ann. Differential Equations 1(1) (1985) 43) on the spectrum determined growth assumption is applied to prove that the closed-loop system becomes exponentially stable under a certain condition with respect to the feedback gain. Moreover, it is shown that the decay rate of the open-loop system is given by letting the feedback gain tend to zero. |
| |
| Keywords: | Linear distributed parameter bioprocess Boundary control Semigroup Spectrum determined growth assumption Exponential stability |
| 本文献已被 ScienceDirect 等数据库收录！ |
