Document Zbl 07844267

Exponential synchronization of quaternion-valued memristor-based neural networks with time-varying delays. (English) Zbl 07844267

Int. J. Adapt. Control Signal Process. 37, No. 7, 1762-1781 (2023).

Summary: In this paper, the global exponential synchronization of quaternion-valued memristor-based neural networks with time-varying delays is discussed. Firstly, by using the differential inclusion theory and the set-valued map theory, the discontinuous quaternion-valued memristive neural networks is transformed into an uncertain system with interval parameters. A novel controller is designed to achieve the control goal. With the \(\omega\)-measure method and Halanay inequality, the criterion for global exponential synchronization of the quaternion-valued memristive neural networks is given. At last, a numerical simulation is given to prove the validity of the main results.
{© 2023 John Wiley & Sons Ltd.}

Cited in 1 Document

MSC:

93C43	Delay control/observation systems
93D23	Exponential stability
34A36	Discontinuous ordinary differential equations
34D06	Synchronization of solutions to ordinary differential equations
34K20	Stability theory of functional-differential equations

Keywords:

exponential synchronization; memristor; quaternion; time delays; \(\omega\)-measure

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References:

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