This chapter discussed the problem of global robust exponential stability of continuous-time interval BAMNNs with multiple time-varying delays. A direct method based on system solutions is presented to establish global robust exponential stability criteria of the class of BAMNNs under consideration. Theoretical comparisons and numerical examples explain the availability and critical advantages of the obtained stability conditions. It is potential that the method proposed in this chapter can be applied to some problems related to analysis and design of delayed NNs after a small modification, including synchronization control, dissipativity analysis, state estimation, and so on. Moreover, compared with the LKF method, the proposed method is more convenient to deal with the case of multiple time-varying delays.

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Global Robust Exponential Stability

  • Xin Wang,
  • Yu Xue,
  • Xian Zhang,
  • Yantao Wang

摘要

This chapter discussed the problem of global robust exponential stability of continuous-time interval BAMNNs with multiple time-varying delays. A direct method based on system solutions is presented to establish global robust exponential stability criteria of the class of BAMNNs under consideration. Theoretical comparisons and numerical examples explain the availability and critical advantages of the obtained stability conditions. It is potential that the method proposed in this chapter can be applied to some problems related to analysis and design of delayed NNs after a small modification, including synchronization control, dissipativity analysis, state estimation, and so on. Moreover, compared with the LKF method, the proposed method is more convenient to deal with the case of multiple time-varying delays.