带有多个延迟量的中立型微分方程的稳定性分析

讨论了带有多个延迟量的中立型微分方程x(t)=Lx(t)+m∑i=1Mi x(t-τi)+n∑j=1Njx'(t-τ'j)的稳定性.其中L,Mi,Nj∈Cd×d为常数复阵,τi＞0,τ'j＞0为常数延迟量,i=1,…,m,j=1,…,n.列举的相关数值例子表明得到的结果更具有一般性.

Stability analysis of linear neutral delay differential equations with multi-delays

The asymptotic stability of linear neutral delay differential equations x' (t) = Lx(t) + m∑i=1 Mi x( t - τi)+ n∑j=1 Ny x' (t - τ 'j) is studied extensively, where L, Mi, Nj ∈ Cd×d are constant complex matrices, and τi ＞ 0, τstances to illustrate the developed -theory that is more general than those already reported.