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$$\mathscr {H}_{\infty }$$ Control for the Stabilization of Neural Networks with Time-Varying Delay

In: Dynamic Systems with Time Delays: Stability and Control

Author

Listed:
  • Ju H. Park

    (Yeungnam University, Department of Electrical Engineering)

  • Tae H. Lee

    (Chonbuk National University, Division of Electronic Engineering)

  • Yajuan Liu

    (North China Electric Power University, Control and Computer Engineering)

  • Jun Chen

    (Jiangsu Normal University, School of Electrical Engineering and Automation)

Abstract

This chapter is concerned with the $$\mathscr {H}_{\infty }$$ control problem for neural networks with time-varying delays and external disturbance. To derive less conservative controller design conditions, the time-varying delay interval divided into two subintervals in which the weighting factor $$\alpha $$ is introduced to make nonequal subintervals. By Lyapunov stability theory, we derive linear matrix inequalities for designing the controller and show the effectiveness of them by a numerical example.

Suggested Citation

  • Ju H. Park & Tae H. Lee & Yajuan Liu & Jun Chen, 2019. "$$\mathscr {H}_{\infty }$$ Control for the Stabilization of Neural Networks with Time-Varying Delay," Springer Books, in: Dynamic Systems with Time Delays: Stability and Control, chapter 7, pages 179-198, Springer.
    • Handle: RePEc:spr:sprchp:978-981-13-9254-2_7
    DOI: 10.1007/978-981-13-9254-2_7
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