Abstract: The stability of linear neutral delay-differential systems with multiple delays is investigated in this paper.In terms of solvability of a matrix Lie algebra，new simple delay-independent stability criteria are presented.The new criteria break through the limitation of conditionorin ∑^m_j=1‖C_j‖<1 or ρ（∑^m_j=1|C_j|）<1 in the stability criteria existing in the related literature and thus determine the asymptotic stability of neutral systems with multiple delays in the case of ∑^m_j=1‖C_j‖≥1 and ρ（∑^m_j=1|C_j|）≥1.Finally，two examples demonstrate the effective force of the new criteria.

Key words: neutral delay-differential systems, Lie algebra, delay-independent stability criteria

摘要： 研究了线性中立型多时滞微分系统的稳定性。从矩阵李代数可解性角度，推导出新的简单的时滞独立稳定性判据。该新判据的重要意义和优越性在于首次突破了以往相关文献的稳定性判据在应用上受条件∑^m_j=1‖C_j‖<1或ρ（∑^m_j=1|C_j|）<1的限制，从而首次成功确定了在∑^m_j=1‖C_j‖≥1和ρ（∑^m_j=1|C_j|）≥1的情形下中立型多时滞微分系统的渐近稳定性。最后，通过两个例子显示了新判据的优越性。

关键词: 中立型时滞微分系统, 李代数, 时滞独立稳定性判据