Exponential Stability Estimate of Fully Nonlinear Aceive Equation by Boundary Control

Dian Chen Lu; Ruo Yu Zhu

doi:10.4028/www.scientific.net/KEM.467-469.1078

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HomeKey Engineering MaterialsKey Engineering Materials Vols. 467-469Exponential Stability Estimate of Fully Nonlinear...

Exponential Stability Estimate of Fully Nonlinear Aceive Equation by Boundary Control

Abstract:

The well-posed problem for the fully nonlinear Aceive diffusion and dispersion equation on the domain [0, 1] is investigated by using boundary control. The existence and uniqueness of the solutions with the help of the Banach fixed point theorem and the theory of operator semigroups are verified. By using some inequalities and integration by parts, the exponential stability of the fully nonlinear Aceive diffusion and dispersion equation with the designed boundary feedback is also proved.

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Periodical:

Key Engineering Materials (Volumes 467-469)

Pages:

1078-1083

DOI:

https://doi.org/10.4028/www.scientific.net/KEM.467-469.1078

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Online since:

February 2011

Authors:

Dian Chen Lu, Ruo Yu Zhu

Keywords:

Aceive Equation, Boundary Control, Diffusion, Dispersion, Exponential Stability, Fully Nonlinear

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