an:01006554
Zbl 0878.34063
Hu, Guang-Di; Hu, Guang-Da
Some simple criteria for stability of neutral delay-differential systems
EN
Appl. Math. Comput. 80, No. 2-3, 257-271 (1996).
00040351
1996
j
34K20 34K40
stability theory; linear neutral delay-differential system
This paper deals with the stability of the linear neutral delay-differential system
\[
\dot x(t)= Ax(t)+ Bx(t-\tau)+ C\dot x(t-\tau),\tag{1}
\]
where \(A\), \(B\), and \(C\in\mathbb{R}^{n\times n}\) are constant matrices. The authors present sufficient conditions for the system (1) to be asymptotically stable. The conditions are described by evaluating the measure and norm of corresponding matrices and are delay-independent.
J.Ohriska (Ko??ice)