Stabilizing the absolutely or convectively unstable homogeneous solutions of reaction-convection-diffusion systems

Moshe Sheintuch; Yelena Smagina

doi:10.1103/PhysRevE.70.026221

Stabilizing the absolutely or convectively unstable homogeneous solutions of reaction-convection-diffusion systems

Moshe Sheintuch^*, Yelena Smagina

^*Corresponding author for this work

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

3 Scopus citations

Abstract

The stabilization problem in of a homogeneous solution in a two variable reaction-convection-diffusion system, with oscillatory kinetics, was analyzed. It was observed that the required number of actuators increased with system size and the distance from the bifurcation point. It was also observed that the patterns could be suppressed by pinning the desired solution at several set points of the actual system size. A feedback control of feed conditions was introduced for systems with a certain uncertainty of parameters.

Original language	English
Article number	026221
Pages (from-to)	026221-1-026221-11
Journal	Physical Review E
Volume	70
Issue number	2 2
DOIs	https://doi.org/10.1103/PhysRevE.70.026221
State	Published - Aug 2004
Externally published	Yes

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10.1103/PhysRevE.70.026221

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title = "Stabilizing the absolutely or convectively unstable homogeneous solutions of reaction-convection-diffusion systems",

abstract = "The stabilization problem in of a homogeneous solution in a two variable reaction-convection-diffusion system, with oscillatory kinetics, was analyzed. It was observed that the required number of actuators increased with system size and the distance from the bifurcation point. It was also observed that the patterns could be suppressed by pinning the desired solution at several set points of the actual system size. A feedback control of feed conditions was introduced for systems with a certain uncertainty of parameters.",

author = "Moshe Sheintuch and Yelena Smagina",

year = "2004",

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doi = "10.1103/PhysRevE.70.026221",

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AU - Smagina, Yelena

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N2 - The stabilization problem in of a homogeneous solution in a two variable reaction-convection-diffusion system, with oscillatory kinetics, was analyzed. It was observed that the required number of actuators increased with system size and the distance from the bifurcation point. It was also observed that the patterns could be suppressed by pinning the desired solution at several set points of the actual system size. A feedback control of feed conditions was introduced for systems with a certain uncertainty of parameters.

AB - The stabilization problem in of a homogeneous solution in a two variable reaction-convection-diffusion system, with oscillatory kinetics, was analyzed. It was observed that the required number of actuators increased with system size and the distance from the bifurcation point. It was also observed that the patterns could be suppressed by pinning the desired solution at several set points of the actual system size. A feedback control of feed conditions was introduced for systems with a certain uncertainty of parameters.

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Stabilizing the absolutely or convectively unstable homogeneous solutions of reaction-convection-diffusion systems

Abstract

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