Stability of differential equations with piecewise constant arguments of generalized type
β Scribed by M.U. Akhmet
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 228 KB
- Volume
- 68
- Category
- Article
- ISSN
- 0362-546X
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A new class of differential equations with state-dependent piecewise constant argument is introduced. It is an extension of systems with piecewise constant argument. Fundamental theoretical results for the equations-the existence and uniqueness of solutions, the existence of periodic solutions, and
In this paper, we apply the method of Lyapunov functions for differential equations with piecewise constant argument of generalized type to a model of recurrent neural networks (RNNs). The model involves both advanced and delayed arguments. Sufficient conditions are obtained for global exponential s