FUZZY RELATIONAL MATRIX-BASED STABILITY ANALYSIS FOR FIRST-ORDER FUZZY RELATIONAL DYNAMIC SYSTEMS

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AGHILI ASHTIANI A.; NIKRAVESH S.K.Y.

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

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Paper Information

Journal: Iranian Journal of Fuzzy Systems Year:2014 | Volume:11 | Issue:2 Page(s): 59-70

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Title

FUZZY RELATIONAL MATRIX-BASED STABILITY ANALYSIS FOR FIRST-ORDER FUZZY RELATIONAL DYNAMIC SYSTEMS

Author(s)

AGHILI ASHTIANI A. | NIKRAVESH S.K.Y. | Issue Writer Certificate

Keywords

FUZZY RELATIONAL DYNAMIC SYSTEM (FRDS)Q2

LINGUISTIC STABILITYQ2

EQUILIBRIUM POINTQ2

FIXED-POINTQ2

SPECIAL SYMMETRIC MATRIX/MATRICESQ2

Abstract

In this paper, two sets of sufficient conditions are obtained to ensure the existence and stability of a unique EQUILIBRIUM POINT of unforced first order fuzzy relational dynamical systems by using two different approaches which are both based on the fuzzy relational matrix of the model. In the first approach, the EQUILIBRIUM POINT of the system is one of the centers of the related membership functions. In the second approach, the EQUILIBRIUM POINT of the system is the origin (the center of the middle membership function) and the behavior of the system, though can be nonlinear, is symmetric around the origin. The results are approved by numerical examples.

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APA: Copy

AGHILI ASHTIANI, A., & NIKRAVESH, S.K.Y.. (2014). FUZZY RELATIONAL MATRIX-BASED STABILITY ANALYSIS FOR FIRST-ORDER FUZZY RELATIONAL DYNAMIC SYSTEMS. IRANIAN JOURNAL OF FUZZY SYSTEMS, 11(2), 59-70. SID. https://sid.ir/paper/113273/en

Vancouver: Copy

AGHILI ASHTIANI A., NIKRAVESH S.K.Y.. FUZZY RELATIONAL MATRIX-BASED STABILITY ANALYSIS FOR FIRST-ORDER FUZZY RELATIONAL DYNAMIC SYSTEMS. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2014;11(2):59-70. Available from: https://sid.ir/paper/113273/en

IEEE: Copy

A. AGHILI ASHTIANI, and S.K.Y. NIKRAVESH, “FUZZY RELATIONAL MATRIX-BASED STABILITY ANALYSIS FOR FIRST-ORDER FUZZY RELATIONAL DYNAMIC SYSTEMS,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 11, no. 2, pp. 59–70, 2014, [Online]. Available: https://sid.ir/paper/113273/en

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