Output Feedback Stabilization of a Class of Coupled ODE-PDE Systems and Its Applications

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DOI: https://doi.org/10.28924/2291-8639-23-2025-284
Published: Nov 5, 2025
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Nurehemaiti Yiming, Output Feedback Stabilization of a Class of Coupled ODE-PDE Systems and Its Applications, Int. J. Anal. Appl., 23 (2025), 284.

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Nurehemaiti Yiming

Abstract

This paper investigates the output feedback stabilization problem of a class of coupled ODE-PDE cascade systems. A state feedback controller was designed based on a backstepping transformation. Then, using the unique measurement signal, a state observer is designed to realize the real-time estimation of the system state. Furthermore, an observer based output feedback control was established to achieve exponential stability of the system. Finally, we presented the application of our results in reliability systems and distributed reactor systems.

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