Exponential stabilization and synchronization of neural networks with time-varying delays via periodically intermittent control
Top Cited Papers
- 11 August 2010
- journal article
- Published by IOP Publishing in Nonlinearity
- Vol. 23 (10), 2369-2391
- https://doi.org/10.1088/0951-7715/23/10/002
Abstract
In this paper, a class of neural networks with time-varying delays are investigated for the first time using a periodically intermittent control technique. First, some new and useful stabilization criteria and synchronization conditions based on p-norm are derived by introducing multi-parameters and using the Lyapunov functional technique. For ∞-norm, using the analysis technique, some novel conditions ensuring exponential stability and synchronization are also obtained. It is worth noting that the methods used in this paper are totally different from the corresponding previous works and the obtained conditions are less conservative. Particularly, the traditional assumptions on control width and time delay are removed in this paper. Finally, some numerical simulations are given to verify the theoretical results.Keywords
This publication has 26 references indexed in Scilit:
- Exponential synchronization of neural networks with time-varying delaysNonlinear Analysis, 2009
- Design of controller on synchronization of chaotic neural networks with mixed time-varying delaysNeurocomputing, 2009
- Adaptive neural control for a class of output feedback time delay nonlinear systemsNeurocomputing, 2009
- Fuzzy Impulsive Control and Synchronization of General Chaotic SystemActa Applicandae Mathematicae, 2008
- Adaptive feedback controller for projective synchronizationNonlinear Analysis: Real World Applications, 2008
- Fuzzy impulsive control of chaotic systems based on TS fuzzy modelChaos, Solitons, and Fractals, 2007
- A new criterion on the global exponential stability for cellular neural networks with multiple time-varying delaysPhysics Letters A, 2005
- Stability of impulsive control systems with time delayMathematical and Computer Modelling, 2004
- Global exponential stability of a general class of recurrent neural networks with time-varying delaysIEEE Transactions on Circuits and Systems I: Regular Papers, 2003
- Global asymptotic stability of a general class of recurrent neural networks with time-varying delaysIEEE Transactions on Circuits and Systems I: Regular Papers, 2003