Weighted pseudo almost periodicity on neutral type CNNs involving multi-proportional delays and D operator
Hedi Yang
Abstract
In this paper, we aim to explore the dynamic behaviors of cellular neural networks with D operator and multi-proportional delays. By using the fixed point theorem and some differential inequality techniques, we derive some new sufficient criteria on the existence and exponential stability of weighted pseudo almost periodic solutions for the proposed neural networks, which generalize and improve all known consequences in Yang et al. <sup>[<span class="xref"><a href="#b22" ref-type="bibr">22</a></span>]</sup> and Yu [Neural Process Lett., 45 (2017), 141-151]. Finally, the effectiveness of the obtained results is illustrated by a numerical simulation example.
Topics & Concepts
Type (biology)Operator (biology)MathematicsFixed pointClass (philosophy)Artificial neural networkStability (learning theory)Span (engineering)Applied mathematicsDifferential (mechanical device)Exponential functionFixed-point theoremPoint (geometry)Pure mathematicsDiscrete mathematicsControl theory (sociology)Mathematical analysisComputer sciencePhysicsArtificial intelligenceCivil engineeringChemistryThermodynamicsEngineeringTranscription factorControl (management)RepressorBiologyGeometryBiochemistryGeneEcologyMachine learningNeural Networks Stability and SynchronizationStability and Controllability of Differential EquationsCooperative Communication and Network Coding