Delay-dependent stability analysis of the QUAD vector field fractional order quaternion-valued memristive uncertain neutral type leaky integrator echo state neural networks. (English) Zbl 1443.93101
Summary: This paper studies the robust stability analysis for a class of memristive-based neural networks (NN). The NN consists of a fractional order neutral type quaternion-valued leaky integrator echo state with parameter uncertainties and time-varying delays. First, the quaternion-valued leaky integrator echo state NN with QUAD vector field activation function is transformed into a real-valued system using a linear mapping function. Then, the Lyapunov-Krasovskii functional is adopted to derive the sufficient conditions on the existence and uniqueness of Filippov solution of the NN equilibrium point. The delay-dependent robust stability analysis of such NN is provided with the help of linear matrix inequality technique. Finally, the theoretical results are validated by means of a numerical example.
MSC:
| 93D09 | Robust stability |
| 93B70 | Networked control |
| 93C43 | Delay control/observation systems |
| 26A33 | Fractional derivatives and integrals |
| 11R52 | Quaternion and other division algebras: arithmetic, zeta functions |
Keywords:
fractional-order systems; memristor-based neural networks; quaternion-valued neural networks; neutral type neural networks; linear matrix inequality; delay-dependent stabilityReferences:
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