1. A study on state estimation for discrete-time recurrent neural networks with leakage delay and time-varying delay.
- Author
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Qiu, Sai-Bing, Liu, Xin-Ge, and Shu, Yan-Jun
- Subjects
- *
ARTIFICIAL neural networks , *OBSERVABILITY (Control theory) , *DISCRETE-time systems , *TIME-varying systems , *EXISTENCE theorems - Abstract
We investigate state estimation for a class of discrete-time recurrent neural networks with leakage delay and time-varying delay. The design method for the state estimator to estimate the neuron states through available output measurements is given. A novel delay-dependent sufficient condition is obtained for the existence of state estimator such that the estimation error system is globally asymptotically stable. Based a novel double summation inequality and reciprocally convex approach, an improved stability criterion is obtained for the error-state system. Two numerical examples are given to demonstrate the effectiveness of the proposed design methods. The simulation results show that the leakage delay has a destabilizing influence on a neural network system. [ABSTRACT FROM AUTHOR]
- Published
- 2016
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