Asymptotic synchronization analysis of fractional-order octonion-valued neural networks with impulsive effects
Jin Gao, Lihua Dai
Abstract
<abstract><p>This paper deals with a class of fractional-order octonion-valued neural networks (FOOVNNs) with impulsive effects. Firstly, although the multiplication of octonion numbers does not satisfy the commutativity and associativity, we don't need to separate an octonion-valued system into eight real-valued systems. Secondly, by applying the appropriate Lyapunov function, and inequality techniques, we obtain the global asymptotical synchronization of FOOVNNs. Finally, we give two illustrative examples to illustrate the feasibility of the proposed method.</p></abstract>
Topics & Concepts
MathematicsCommutative propertySynchronization (alternating current)Lyapunov functionControl theory (sociology)Artificial neural networkOrder (exchange)Multiplication (music)Applied mathematicsComputer sciencePure mathematicsTopology (electrical circuits)Nonlinear systemCombinatoricsArtificial intelligenceControl (management)Quantum mechanicsFinancePhysicsEconomicsNeural Networks Stability and SynchronizationNeural Networks and Applicationsstochastic dynamics and bifurcation