Abstract
In this article synchronization of fractional order fuzzy BAM neural networks with time varying delays and reaction diffusion terms is studied. The time varying delays consist of discrete delays and distributed delays are considered. Then, some sufficient conditions black are presented to guarantee the global asymptotic stability of the error system by using Lyapunov-Krasovskii functional having the double integral terms, we utilized Jensens inequality techniques and LMI approach. Accordingly, we accomplished synchronization of master-slave fuzzy BAMNNs. The delay dependent stability conditions are set up in terms of linear matrix inequalities(LMIs), which can be productively understood utilizing Matlab LMI control tool box. At last, illustrative numerical results have been provided to verify the correctness and effectiveness of the obtained results.
Highlights
A Round 300 years back, the foundation of fractional order calculus, which is an extension of classical integer order calculus, was first off mentioned through German mathematician Leibniz and it failed to attract more attention for a long time since it lack of application background and the complexity
The research on fractional order calculus becomes a hot research topic because of The reality that many real-international gadgets want to be defined with the aid of using fractional order models
Fractional Order calculus is an area of mathematics that deals with extensions of derivatives and integrals to non integer orders and represents a powerful tool [1]–[3]
Summary
A Round 300 years back, the foundation of fractional order calculus, which is an extension of classical integer order calculus, was first off mentioned through German mathematician Leibniz and it failed to attract more attention for a long time since it lack of application background and the complexity.
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