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Stability analysis of neural-network interconnected systems

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2 Author(s)
Jiing-Dong Hwang ; Dept. of Electron. Eng., Jin-Wen Inst. of Technol., Taipei, Taiwan ; Feng-Hsiag Hsiao

This paper is concerned with the stability problem of a neural-network (NN) interconnected system which consists of a set of NN models. First, a linear difference inclusion (LDI) state-space representation is established for the dynamics of each NN model. Subsequently, based on the LDI state-space representation, a stability criterion in terms of Lyapunov's direct method is derived to guarantee the asymptotic stability of NN interconnected systems. Finally, a numerical example with simulations is given to demonstrate the results.

Published in:

Neural Networks, IEEE Transactions on  (Volume:14 ,  Issue: 1 )