Advances in Differential Equations and Control Processes
Volume 7, Issue 1, Pages 1 - 14
(February 2011)
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NEUMANN BOUNDARY STABILIZATION OF A COUPLED TRANSPORT-DIFFUSION SYSTEM WITH BOUNDARY OUTPUTS: A BACKSTEPPING APPROACH
Hideki Sano
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Abstract: This paper is concerned with the stabilization problem of a transport-diffusion system with Neumann boundary control and boundary observation. By introducing a new variable, the system is expressed as two decoupled subsystems, where one of them is not asymptotically stable. For the unstable subsystem, we use a backstepping method to construct infinite-dimensional observer-based controllers. The Lyapunov method is successfully applied to prove the closed-loop stability with the controller, by using the Poincaré inequality with adjustable coefficients. |
Keywords and phrases: coupled transport-diffusion system, Neumann boundary control, boundary observation, stabilization, backstepping. |
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