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Periodicity of a class of nonlinear fuzzy systems with delays

Author

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  • Yu, Jiali
  • Yi, Zhang
  • Zhang, Lei

Abstract

The well known Takagi–Sugeno (T–S) model gives an effective method to combine some simple local systems with their linguistic description to represent complex nonlinear dynamic systems. By using the T–S method, a class of local nonlinear systems having nice dynamic properties can be employed to represent some global complex nonlinear systems. This paper proposes to study the periodicity of a class of global nonlinear fuzzy systems with delays by using T–S method. Conditions for guaranteeing periodicity are derived. Examples are employed to illustrate the theory.

Suggested Citation

  • Yu, Jiali & Yi, Zhang & Zhang, Lei, 2009. "Periodicity of a class of nonlinear fuzzy systems with delays," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1343-1351.
    • Handle: RePEc:eee:chsofr:v:40:y:2009:i:3:p:1343-1351
    DOI: 10.1016/j.chaos.2007.09.015
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    References listed on IDEAS

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