On Asymptotic Properties of Stochastic Neutral-Type Inertial Neural Networks with Mixed Delays
Abstract
:1. Introduction
- (1)
- (2)
- For constructing a suitable Lyapunov–Krasovskii functional, the mixed delays and the neutral terms are taken into consideration.
- (3)
- Unlike the previous papers, we introduce a new unified framework, to deal with mixed delays, inertia terms and D-operators. It is noted that our main results are also valid in cases of non-neutral systems.
2. Preliminaries and Problem Formulation
- (i)
- is injective on ;
- (ii)
- for , then is homeomorphic on .
- (H1)
- There exist constants , such that
- (H2)
- There exist constants , such that
- (H3)
- There exist constants , such that
3. Existence of Equilibrium Points
4. Stochastically Globally Asymptotic Stability
5. Examples
6. Conclusions
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
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Wang, B.; Yin, H.; Du, B. On Asymptotic Properties of Stochastic Neutral-Type Inertial Neural Networks with Mixed Delays. Symmetry 2023, 15, 1746. https://doi.org/10.3390/sym15091746
Wang B, Yin H, Du B. On Asymptotic Properties of Stochastic Neutral-Type Inertial Neural Networks with Mixed Delays. Symmetry. 2023; 15(9):1746. https://doi.org/10.3390/sym15091746
Chicago/Turabian StyleWang, Bingxian, Honghui Yin, and Bo Du. 2023. "On Asymptotic Properties of Stochastic Neutral-Type Inertial Neural Networks with Mixed Delays" Symmetry 15, no. 9: 1746. https://doi.org/10.3390/sym15091746
APA StyleWang, B., Yin, H., & Du, B. (2023). On Asymptotic Properties of Stochastic Neutral-Type Inertial Neural Networks with Mixed Delays. Symmetry, 15(9), 1746. https://doi.org/10.3390/sym15091746