YAN Huan, ZHAO Zhen-jiang, SONG Qian-kun. Global μ-Stability of Impulsive Complex-Valued Neural Networks With Mixed Time-Varying Delays[J]. Applied Mathematics and Mechanics, 2015, 36(7): 756-767. doi: 10.3879/j.issn.1000-0887.2015.07.008
Citation: YAN Huan, ZHAO Zhen-jiang, SONG Qian-kun. Global μ-Stability of Impulsive Complex-Valued Neural Networks With Mixed Time-Varying Delays[J]. Applied Mathematics and Mechanics, 2015, 36(7): 756-767. doi: 10.3879/j.issn.1000-0887.2015.07.008

Global μ-Stability of Impulsive Complex-Valued Neural Networks With Mixed Time-Varying Delays

doi: 10.3879/j.issn.1000-0887.2015.07.008
Funds:  The National Natural Science Foundation of China(61273021; 61473332)
  • Received Date: 2015-03-30
  • Rev Recd Date: 2015-06-10
  • Publish Date: 2015-07-15
  • The global μ-stability of impulsive complex-valued neural networks with mixed time-varying delays was investigated. For the considered complex-valued neural networks, the activation functions only need to satisfy the Lipschitz conditions. Based on the homeomorphism mapping principle in the complex domain, a sufficient condition for the existence and uniqueness of the equilibrium point of the addressed complex-valued neural network was proposed in terms of linear matrix inequalities (LMIs). Through construction of appropriate Lyapunov-Krasovskii functionals, and with the free weighting matrix method and inequality technique, a delay-dependent criterion for checking the global μ-stability of the complex-valued neural networks was established in terms of LMIs. Finally, a simulation example was given to show the effectiveness of the obtained results.
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