Projective Synchronization Control of Delayed Recurrent Neural Networks with Markovian Jumping Parameters

This letter focuses on the projective synchronization control of delayed recurrent neural networks with Markovian jumping parameters. The jumping parameters are modeled as continuous-time finite-state Markov chain. Based on the Lyapunov functional method and linear matrix inequality (LMI) approach, a novel control method is given. Simulations with matlab verify the effectiveness of the methods.

[1]  Chih-Hong Lin,et al.  Adaptive Backstepping Control for Synchronous Reluctance Motor Drive Using RNN Uncertainty Observer , 2007, 2007 IEEE Power Electronics Specialists Conference.

[2]  Kolmanovskii,et al.  Introduction to the Theory and Applications of Functional Differential Equations , 1999 .

[3]  Peter Tiño,et al.  Markovian architectural bias of recurrent neural networks , 2004, IEEE Transactions on Neural Networks.

[4]  S. Arik Stability analysis of delayed neural networks , 2000 .

[5]  Chih-Hong Lin,et al.  Adaptive hybrid control using recurrent-neural-network for linear synchronous motor servo drive system , 2001, Canadian Conference on Electrical and Computer Engineering 2001. Conference Proceedings (Cat. No.01TH8555).

[6]  Xin-Chu Fu,et al.  Projective Synchronization of Driving–Response Systems and Its Application to Secure Communication , 2009, IEEE Transactions on Circuits and Systems I: Regular Papers.

[7]  Hong-Ru Wang,et al.  Robust Fault Detection for Uncertain Time-Delay Systems with Markovian Jump Parameters , 2007, 2007 International Conference on Machine Learning and Cybernetics.

[8]  Zidong Wang,et al.  On global asymptotic stability of neural networks with discrete and distributed delays , 2005 .

[9]  Guojun Dai,et al.  Clapping and Broadcasting Synchronization in Wireless Sensor Network , 2010, 2010 Sixth International Conference on Mobile Ad-hoc and Sensor Networks.

[10]  James Lam,et al.  Stability Analysis of Discrete-Time Recurrent Neural Networks With Stochastic Delay , 2009, IEEE Transactions on Neural Networks.

[11]  Youxian Sun,et al.  Absolute Exponential Stability of Recurrent Neural Networks With Generalized Activation Function , 2008, IEEE Transactions on Neural Networks.

[12]  Sin-Horng Chen,et al.  An RNN-based prosodic information synthesizer for Mandarin text-to-speech , 1998, IEEE Trans. Speech Audio Process..

[13]  E. Yaz Linear Matrix Inequalities In System And Control Theory , 1998, Proceedings of the IEEE.