Finite-Time Control of Fuzzy Competitive Networks via Comparison Method and Bounded Control.
IEEE Trans. Fuzzy Syst.(2024)
Abstract
This paper aims to consider the finite-time synchronization of a class of discontinuous fuzzy competitive networks with non-differential leakage delays. Different from the previous competitive networks and leakage-delayed networks, the activation functions are discontinuous and the leakage delays are non-differential. Without using the Lyapunov function methods, the synchronization in a finite-time is investigated based on the comparison principle and inequality techniques, which are used for the first time in the study of the competitive networks and leakage-delayed networks. Moreover, the feedback controller and bounded feedback controller are designed to help achieve the finite-time synchronization. The bounded feedback controller is formulated by the function
arctan
and a new inequality lemma is given, which plays a vital role in achieving the synchronization via bounded feedback controller. Although both controllers can help achieve the finite-time synchronization, it can be found that there is a big difference that the value of feedback controller is greatly influenced by system's state variables, but bounded controller is not. Such fact leads to different settling-times. The conclusion is that bounded controller has more advantages in shortening convergence time through numerical simulations.
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Key words
Finite-time synchronization,competitive networks,non-differential leakage delays,comparison methods,bounded feedback controller
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