Stability of a CFSTR with two consecutive reactions by the Liapunov direct method

Chongyoup Kim; Hyun Ku Rhee

doi:10.1007/BF02697681

Stability of a CFSTR with two consecutive reactions by the Liapunov direct method

Chongyoup Kim, Hyun Ku Rhee

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

The stability of a continuous flow stirred tank reactor with two consecutive reactions A → B → C is studied with the direct method of Liapunov. Krasovskii's method with the identity matrix is used to obtain a Liapunov function in the analysis of the system with single or multiple steady states. The results show that this method is mathematically conservative as expected. From the viewpoint of practical stability, however, this method predicts the regions of stability adequately.

Original language	English
Pages (from-to)	200-205
Number of pages	6
Journal	Korean Journal of Chemical Engineering
Volume	6
Issue number	3
DOIs	https://doi.org/10.1007/BF02697681
Publication status	Published - 1989 Jul
Externally published	Yes

ASJC Scopus subject areas

Chemistry(all)
Chemical Engineering(all)

Access to Document

10.1007/BF02697681

Cite this

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title = "Stability of a CFSTR with two consecutive reactions by the Liapunov direct method",

abstract = "The stability of a continuous flow stirred tank reactor with two consecutive reactions A → B → C is studied with the direct method of Liapunov. Krasovskii's method with the identity matrix is used to obtain a Liapunov function in the analysis of the system with single or multiple steady states. The results show that this method is mathematically conservative as expected. From the viewpoint of practical stability, however, this method predicts the regions of stability adequately.",

author = "Chongyoup Kim and Rhee, {Hyun Ku}",

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AU - Rhee, Hyun Ku

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N2 - The stability of a continuous flow stirred tank reactor with two consecutive reactions A → B → C is studied with the direct method of Liapunov. Krasovskii's method with the identity matrix is used to obtain a Liapunov function in the analysis of the system with single or multiple steady states. The results show that this method is mathematically conservative as expected. From the viewpoint of practical stability, however, this method predicts the regions of stability adequately.

AB - The stability of a continuous flow stirred tank reactor with two consecutive reactions A → B → C is studied with the direct method of Liapunov. Krasovskii's method with the identity matrix is used to obtain a Liapunov function in the analysis of the system with single or multiple steady states. The results show that this method is mathematically conservative as expected. From the viewpoint of practical stability, however, this method predicts the regions of stability adequately.

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