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Finite-time projective synchronization for distinct fractional-order delayed state-dependent switching neural networks via sliding mode control
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DOI：10.1016/j.jfranklin.2026.108731.png)
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Abstract
En 中文
This manuscript rigorously investigates finite-time projective synchronization in distinct delayed state-dependent switching neural networks governed by Caputo fractional-order, working on novel upper bounded estimate for setting time. The initial phase involves the integration of master-slave systems with distinct structures and parameters, and the state-dependent discontinuities are handled using the Filippov differential inclusion framework, then a synchronous error system is subsequently established. Subsequently, novel parameter conditions for accomplishing finite-time projective synchronization are posited, and corresponding upper bounded estimate for setting time is appraised using fractional-order inequality. In addition, based on output observation and sliding mode control, a derivative-based sliding surface and its associated controller are constructed, and the reachability of the sliding mode surface is subsequently analyzed by means of relevant lemmas and the fractional-order Lyapunov direct method. Furthermore, the stability of the sliding path is corroborated, indispensable prerequisites and a novel upper bound estimate of setting time necessary for achieving finite-time projective synchronization are delineated. To demonstrate our approach, three-dimensional distinct fractional-order delayed state-dependent switching neural networks are simulated with continuous frequency distribution model.
Keywords:
finite-time projective synchronization
fractional-order neural networks
state-dependent switching
sliding mode control
synchronization time estimation
Journal
J
IF:
4.2
Papers:
812
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0
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