Name
Title | ||
|---|---|---|
Generalized Halanay inequalities and their applications to neural networks with unbounded time-varying delays. |
Abstract | ||
|---|---|---|
In this brief, we discuss some variants of generalized Halanay inequalities that are useful in the discussion of dissipativity and stability of delayed neural networks, integro-differential systems, and Volterra functional differential equations. We provide some generalizations of the Halanay inequality, which is more accurate than the existing results. As applications, we discuss invariant set, dissipative synchronization, and global asymptotic stability for the Hopfield neural networks with infinite delays. We also prove that the dynamical systems with unbounded time-varying delays are globally asymptotically stable. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1109/TNN.2011.2160987 | IEEE Transactions on Neural Networks |
Keywords | Field | DocType |
volterra functional differential equations,delayed neural networks,halanay inequality,neural networks,dynamical system,invariant set,dynamical systems,dissipative synchronization,recurrently connected neural network,asymptotic stability,delayed neural network,global asymptotic stability,hopfield neural nets,hopfield neural network,unbounded time varying delays,delays,volterra functional differential equation,integro differential systems,integro-differential equations,asymptotically stable,generalized halanay inequalities,existing result,unbounded time-varying delay,volterra equations,hopfleld neural networks,generalized halanay inequality,unbounded time-varying delays,indexation,artificial neural network,neural network,synchronization,differential equations,artificial neural networks,indexes,differential equation | Applied mathematics,Computer science,Control theory,Dissipative system,Exponential stability,Artificial intelligence,Artificial neural network,Stability theory,Differential equation,Generalization,Dynamical systems theory,Invariant (mathematics),Machine learning | Journal |
Volume | Issue | ISSN |
22 | 9 | 1941-0093 |
Citations | PageRank | References |
27 | 1.17 | 7 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Bo Liu | 1 | 198 | 11.13 |
| Wenlian Lu | 2 | 1331 | 93.47 |
| Tianping Chen | 3 | 3095 | 250.77 |