This chapter concentrates on the fixed-time pinning synchronizationPinning synchronization and adaptive synchronizationAdaptive synchronization problems of complex-valued inertial neural networksComplex-valued inertial neural networks (CVINNs) with time-varying delaysTime-varying delays|(. We will regard this model as an entirety instead of reducing it to first-order differential equation, separate the real and imaginary parts into an equivalent real-valued one, and establish a novel Lyapunov functionLyapunov function. The fixed-time stabilityFixed-time stability for the closed-loop error systemError system is guaranteed via partial nodes controlled directly by a new pinning controller which involves the state derivatives and other proper terms. Moreover, from the point of saving cost and avoiding resources waste, we will continue to further develop a new pinning adaptive controller and derive a sufficient condition ensuring the adaptive fixed-time stabilityFixed-time stability forStability the closed-loop error system.
Fixed-Time Pinning Synchronization for CVINNs with Time-Varying Delays
Intelligent Control & Learning Systems
2022-11-06
22 pages
Article/Chapter (Book)
Electronic Resource
English
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