LMI-based stability criteria for neural networks with multiple time-varying delays

作者：He Y; Wang QG^*; Wu M

来源：Physica D: Nonlinear Phenomena , 2005, 212(1-2): 126-136.

DOI：10.1016/j.physd.2005.09.013

• neural networks
• stability
• delay-dependent
• time-varying delay
• linear Matrix inequality (LMI)

In this paper, the stability of neural networks with multiple time-varying delays is studied. A new class of Lyapunov-Krasovskii functionals is constructed and the S-procedure and free-weighting matrix method are employed to derive a delay-dependent stability criterion, from which a delay-independent criterion is obtained as a special case. Moreover, the result is also extended to delay-dependent and rate-independent stability criteria for multiple unknown time-varying delays. Finally, numerical examples are given to illustrate the effectiveness of our methods and improvement over the existing ones.

• 出版日期2005-12-1
• 单位中南大学