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Robust Local Regularity and Controllability of Uncertain TS Fuzzy Descriptor Systems

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  • Shinn-Horng Chen
  • Wen-Hsien Ho
  • Jyh-Horng Chou

Abstract

The robust local regularity and controllability problem for the Takagi-Sugeno (TS) fuzzy descriptor systems is studied in this paper. Under the assumptions that the nominal TS fuzzy descriptor systems are locally regular and controllable, a sufficient criterion is proposed to preserve the assumed properties when the structured parameter uncertainties are added into the nominal TS fuzzy descriptor systems. The proposed sufficient criterion can provide the explicit relationship of the bounds on parameter uncertainties for preserving the assumed properties. An example is given to illustrate the application of the proposed sufficient condition.

Suggested Citation

  • Shinn-Horng Chen & Wen-Hsien Ho & Jyh-Horng Chou, 2012. "Robust Local Regularity and Controllability of Uncertain TS Fuzzy Descriptor Systems," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-14, December.
  • Handle: RePEc:hin:jnljam:825416
    DOI: 10.1155/2012/825416
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