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Synchronization of discontinuous competitive networks modeled by Filippov singular perturbation system: time-scales dependent settling-time
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Synchronization of discontinuous competitive networks modeled by Filippov singular perturbation system: time-scales dependent settling-time
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Synchronization of discontinuous competitive networks modeled by Filippov singular perturbation system: time-scales dependent settling-time
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Journal Article
Synchronization of discontinuous competitive networks modeled by Filippov singular perturbation system: time-scales dependent settling-time
2023
Overview
This paper mainly considers the fixed-time synchronization (FxTS) and fixed-time anti-synchronization (FxTAS) of discontinuous competitive neural networks with time scales (DCNNTS) modeled by singularly perturbed Filippov system. Different from the previous FxTS results on the competitive networks, new fixed-time stability lemmas with economical inequality conditions are given, which have more relaxed conditions. Then, by means of the established fixed-time stability lemmas and differential inclusions theory, the FxTS and FxTAS of the addressed drive-response DCNNTS are investigated by constructing two different Lyapunov functions and via new designed non-chattering controllers. Notably, the FxTAS of competitive networks is discussed for the first time. Moreover, time-scales-dependent settling times have also been obtained, which further show the effects of time scales on the FxTS and the FxTAS of DCNNTS. Finally, examples and numerical simulations help examine the correctness of the main results.
