Global dissipativity of fuzzy cellular neural networks with inertial term and proportional delays
Chaouki Aouiti, R. Sakthivel, Farid Touati
Abstract
This paper is concerned with the global dissipativity of fuzzy cellular neural networks with inertial term and proportional delays. Based on Lyapunov functionals and linear matrix inequality approach, new sufficient conditions are derived to ensure the global dissipativity and global exponential dissipativity of the suggested system. Moreover, the globally exponential attractive sets and positive invariant sets are also presented here. Finally, two numerical examples with its simulations are proposed to illustrate the effectiveness of the obtained results.
Topics & Concepts
Term (time)Inertial frame of referenceMathematicsControl theory (sociology)Artificial neural networkFuzzy logicExponential stabilityInvariant (physics)Applied mathematicsExponential functionComputer scienceControl (management)Mathematical analysisNonlinear systemArtificial intelligencePhysicsMathematical physicsQuantum mechanicsNeural Networks Stability and SynchronizationAdvanced Mathematical Modeling in EngineeringNonlinear Dynamics and Pattern Formation