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Original Articles

LMI-based approach to stability analysis for fractional-order neural networks with discrete and distributed delays

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Pages 537-545 | Received 29 Apr 2017, Accepted 25 Nov 2017, Published online: 08 Dec 2017

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Seyed Mehdi Abedi Pahnehkolaei, Alireza Alfi & J.A. Tenreiro Machado. (2019) Delay-dependent stability analysis of the QUAD vector field fractional order quaternion-valued memristive uncertain neutral type leaky integrator echo state neural networks. Neural Networks 117, pages 307-327.
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Nguyen T. Thanh & Vu N. Phat. (2019) Improved Approach for Finite-Time Stability of Nonlinear Fractional-Order Systems With Interval Time-Varying Delay. IEEE Transactions on Circuits and Systems II: Express Briefs 66:8, pages 1356-1360.
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Nguyen T. Thanh & Vu Ngoc Phat. (2019) Switching law design for finite‐time stability of singular fractional‐order systems with delay. IET Control Theory & Applications 13:9, pages 1367-1373.
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Denghao Pang, Wei Jiang, Song Liu & Du Jun. (2019) Stability analysis for a single degree of freedom fractional oscillator. Physica A: Statistical Mechanics and its Applications 523, pages 498-506.
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Bei Zhang, Jinsen Zhuang, Haidong Liu, Jinde Cao & Yonghui Xia. (2018) Master–slave synchronization of a class of fractional-order Takagi–Sugeno fuzzy neural networks. Advances in Difference Equations 2018:1.
Crossref
Hai Zhang, Miaolin Ye, Renyu Ye & Jinde Cao. (2018) Synchronization stability of Riemann–Liouville fractional delay-coupled complex neural networks. Physica A: Statistical Mechanics and its Applications 508, pages 155-165.
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