Abstract: The robust stability of uncertain neutral systems with time-varying delays is investigated. The uncertainties under consideration are norm-bounded and time-varying. The robust stability criteria are proposed in the form of LMIs based on Lyapunov and free weight matrices methods. Finally, simulation result is given to indicate significant improvement over some existing results. Keywords: stability; time delay; neutral systems; linear matrix inequality (LMI)

摘要： 研究了一类不确定中立型变时滞系统的鲁棒稳定性问题。不确定性满足范数有界条件且时变。基于Lyapunov和自由权矩阵的方法，得到了系统的鲁棒稳定性判据，并表示成线性矩阵不等式的形式。最后，仿真结果表明本文的结论比一些现存的结果有了重要提高。