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Existence, uniqueness and global stability of Clifford-valued neutral-type neural networks with time delays
- Source :
- Mathematics and Computers in Simulation. 201:508-527
- Publication Year :
- 2022
- Publisher :
- Elsevier BV, 2022.
-
Abstract
- In this paper, we analyze the global asymptotic stability and global exponential stability with respect to the Clifford-valued neutral-type neural network (NN) models with time delays. By considering the neutral term, a Clifford-valued NN model with time delays is formulated, which encompasses real-valued, complex-valued, and quaternion-valued NN models as special cases. In order to achieve our main results, the n -dimensional Clifford-valued NN model is decomposed into 2 m n -dimensional real-valued models. Moreover, a proper function is constructed to handle the neutral term and prove that the equilibrium point exists. Utilizing the homeomorphism theory, linear matrix inequality as well as Lyapunov functional methods, we derive the sufficient conditions corresponding to the existence, uniqueness, and global asymptotic stability with respect to the equilibrium point of the Clifford-valued neutral-type NN model. Numerical examples to demonstrate the effectiveness of the results are provided, and the simulations results are analyzed and discussed.
- Subjects :
- Equilibrium point
Numerical Analysis
General Computer Science
Artificial neural network
Applied Mathematics
Linear matrix inequality
010103 numerical & computational mathematics
02 engineering and technology
01 natural sciences
Stability (probability)
Homeomorphism
Theoretical Computer Science
Term (time)
Exponential stability
Modeling and Simulation
0202 electrical engineering, electronic engineering, information engineering
Applied mathematics
020201 artificial intelligence & image processing
Uniqueness
0101 mathematics
Mathematics
Subjects
Details
- ISSN :
- 03784754
- Volume :
- 201
- Database :
- OpenAIRE
- Journal :
- Mathematics and Computers in Simulation
- Accession number :
- edsair.doi...........2e2250606fa1789255508206a11e8722