Boundary Control for Exponential Stabilization of Nonlinear Distributed Parameter Systems Modeled by PIDEs Academic Article uri icon


  • 2013 IEEE. This paper studies boundary control for exponential stabilization for a distributed parameter system, modeled by semi-linear parabolic partial integro-differential equations (PIDEs) in a 1-D spatial domain. A boundary controller based on boundary measurement is designed for exponential stabilization of the PIDE system, and it is implemented by controlling and measuring only one endpoint of the 1-D spatial domain. With the Lyapunov direct method and Wirtinger's inequality, a sufficient condition for exponential stabilization of the PIDE system with a given decay rate is investigated. Dealing with a special case of PIDE systems, one lemma called Yang inequality is proposed, and a new less conservative sufficient condition is investigated. An example with two cases is given to show the effectiveness and less conservativeness of the proposed methods by using Yang inequality.

published proceedings


author list (cited authors)

  • Yang, C., Huang, T., Li, Z., Zhang, A., Qiu, J., & Alsaadi, F. E.

citation count

  • 6

complete list of authors

  • Yang, Chengdong||Huang, Tingwen||Li, Zhenxing||Zhang, Ancai||Qiu, Jianlong||Alsaadi, Fuad E

publication date

  • January 2018