Stabilization for a class of delayed coupled PDE-ODE systems with boundary control

Shuxia Tang, Chengkang Xie, Zhongcheng Zhou

Research output: Chapter in Book/Report/Conference proceedingConference contribution

5 Scopus citations

Abstract

A class of coupled PDE-ODE systems with delays at the input and two-directional interconnection at the interfaces (one single point) is discussed in this paper. Exponential stability in the sense of the corresponding norms for the original closed-loop system with the derived controller is obtained by finally transforming the system into an exponentially stable PDEs-ODE cascade with a boundary feedback backstepping controller, and the result is also rigidly proved.

Original languageEnglish
Title of host publicationProceedings of the 2011 Chinese Control and Decision Conference, CCDC 2011
Pages320-324
Number of pages5
DOIs
StatePublished - Sep 5 2011
Event2011 Chinese Control and Decision Conference, CCDC 2011 - Mianyang, China
Duration: May 23 2011May 25 2011

Publication series

NameProceedings of the 2011 Chinese Control and Decision Conference, CCDC 2011

Conference

Conference2011 Chinese Control and Decision Conference, CCDC 2011
CountryChina
CityMianyang
Period05/23/1105/25/11

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Keywords

  • Backstepping
  • Boundary control
  • Coupled system
  • Input delay

Cite this

Tang, S., Xie, C., & Zhou, Z. (2011). Stabilization for a class of delayed coupled PDE-ODE systems with boundary control. In Proceedings of the 2011 Chinese Control and Decision Conference, CCDC 2011 (pp. 320-324). [5968195] (Proceedings of the 2011 Chinese Control and Decision Conference, CCDC 2011). https://doi.org/10.1109/CCDC.2011.5968195