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Question Research Of Almost Periodic Solutions Of Two Kinds Of Neural Networks

Posted on:2022-01-24Degree:MasterType:Thesis
Country:ChinaCandidate:S J PuFull Text:PDF
GTID:2480306335954609Subject:Automation Technology
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The paper focuses on question research of almost periodic solutions of two kinds of neural networks,firstly,Bapp-almost periodic solution and global exponential synchro-nization of quaternion-valued neural networks with time-varying delays are studied;Sec-ondly,the pseudo almost periodic solution and finite-time stability of fractional-order Clifford-valued neural networks with mixed time-varying delays are analyzed;Thirdly,a numerical example is separately given to verify the feasibility and validity of the two kinds of neural networks.In my thesis,sufficient conditions for the existence of Bapp-almost pe-riodic solution of quaternion-valued neural networks with time-varying delays and pseudo almost periodic solution of fractional-order Clifford-valued neural networks with mixed time-varying delays are obtained respectively by using the contraction mapping princi-ple.Then,the global exponential synchronization of quaternion-valued neural networks with time-varying delays is studied by reduction to absurdity.Moreover,on the basis of the generalized gronwall inequality and some differential inequality techniques,the finite-time stability problem of fractional-order Clifford-valued neural networks with mixed time-varying delays is solved.
Keywords/Search Tags:Bapp-almost periodic solution, Global exponential synchronization, Clif-ford algebra, Pseudo almost periodic solution, Finite-time stability
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