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Stabilization of Reaction Diffusion Equations With State Delay Using Boundary Control Input


Abstract:

This study analyses a stabilization method for reaction-diffusion equations with state delay using boundary control input. The proposed control strategy is based on the b...Show More

Abstract:

This study analyses a stabilization method for reaction-diffusion equations with state delay using boundary control input. The proposed control strategy is based on the backstepping method, wherein the controlled system is transformed into a target system. The objective of this study is to show that the conventional transformation, which was proposed for undelayed reaction-diffusion equations, can still provide a stabilizing boundary controller for a special class of delayed equations.
Published in: IEEE Transactions on Automatic Control ( Volume: 61, Issue: 12, December 2016)
Page(s): 4041 - 4047
Date of Publication: 07 March 2016

ISSN Information:


References

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