# zbMATH — the first resource for mathematics

Investigation of interval stability of linear systems of neutral type of Lyapunov function method. (English) Zbl 1011.34064
Here, sufficient conditions for the interval stability are obtained for systems of functional-differential equations of neutral type $\dot x(t)=D \dot x(t-\tau)+Ax(t)+Bx(t-\tau).$ The interval stability is understood in the sense, that the solutions to the system $\dot x(t)=(D+\Delta D) \dot x(t-\tau)+(A+\Delta A)x(t)+ (B+\Delta B)x(t-\tau)$ are asymptotically stable for any matrices $$\Delta D$$, $$\Delta A$$, $$\Delta B$$ with sufficiently small elements.

##### MSC:
 34K20 Stability theory of functional-differential equations
##### Keywords:
stability; system of neutral type; Lyapunov function
Full Text: