关键词: 中立型时滞微分系统, 李代数, 时滞独立稳定性判据

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