On exponential stability of linear systems with delay. (Russian) Zbl 0696.34054

Consider the linear autonomous system with delay \((1)\quad x'(t)=Ax(t)+Bx(t-\tau).\) Assume that the system \(x'(t)=Ax(t)\) is asymptotically stable. Then the author establishes an exponential estimate of solutions of (1).
Reviewer: Wang Zhicheng


34K20 Stability theory of functional-differential equations
34D05 Asymptotic properties of solutions to ordinary differential equations
34A30 Linear ordinary differential equations and systems