Source: International Journal of Control, Volume 80, Number 6, June 2007 , pp. 982-989(8)

Publisher: Taylor and Francis Ltd

Abstract:

We consider the problem of boundary feedback stabilization of homogeneous equilibria in unstable fluid mixtures that are governed by unstable linear reaction-convection-diffusion equations. We extend boundary feedback control laws designed for the one-dimensional reaction-diffusion equation using the backstepping method to this higher-dimensional case. We show that, under certain mathematical conditions on the velocity field, boundary feedback controls similar to the ones for one-dimensional equations also works for the higher dimensional case and exponentially stabilize the homogeneous equilibrium zero at any given decay rate.

Document Type: Research article

DOI: http://dx.doi.org/10.1080/00207170701280895

Publication date: 2007-06-01

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