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New Results on Passivity Analysis for Uncertain Neural Networks with Time‐Varying Delay

Author

Listed:
  • Xueying Shao
  • Qing Lu
  • Hamid Reza Karimi
  • Jin Zhu

Abstract

The paper investigates the stability and passivity analysis problems for a class of uncertain neural networks with time‐delay via delta operator approach. Both the parameter uncertainty and the generalized activation functions are considered in this paper. By constructing an appropriate Lyapunov‐Krasovskii functional, some new stability and passivity conditions are obtained in terms of linear matrix inequalities (LMIs). The main characteristic of this paper is to obtain novel stability and passivity analysis criteria for uncertain neural networks with time‐delay in the delta operator system framework. A numerical example is presented to demonstrate the effectiveness of the proposed results.

Suggested Citation

  • Xueying Shao & Qing Lu & Hamid Reza Karimi & Jin Zhu, 2014. "New Results on Passivity Analysis for Uncertain Neural Networks with Time‐Varying Delay," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:303575
    DOI: 10.1155/2014/303575
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    References listed on IDEAS

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    1. Zeynep Orman & Sabri Arik, 2013. "An Analysis of Stability of a Class of Neutral‐Type Neural Networks with Discrete Time Delays," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    2. Shuo Li & Zhengrong Xiang & Hamid Reza Karimi, 2014. "Finite-Time -Gain Control for Positive Switched Systems with Time-Varying Delay via Delta Operator Approach," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-11, January.
    3. Zeynep Orman & Sabri Arik, 2013. "An Analysis of Stability of a Class of Neutral-Type Neural Networks with Discrete Time Delays," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-9, June.
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