Mittag-Leffler convergent backstepping observers for coupled semilinear subdiffusion systems with spatially varying parameters

Abstract The purpose of this paper is to investigate the observer-based boundary output feedback control for subdiffusion processes governed by coupled semilinear time fractional diffusion systems (TFDSs) with spatially varying parameters. For this, backstepping technique is used to Mittag-Leffler stabilize the coupled semilinear observer error dynamic systems. We then design an observer-based output feedback controller at the right boundary to realize the Mittag-Leffler stability of the closed-loop systems at hand. A numerical example is finally included to test our methods.

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