- 作者: Michael I. GIL', and Sui Sun CHENG
- 中文摘要: This paper is concerned with an nonautonomous perturbed linear dynamical system x/sub k+1/= Ax/sub k/ + Fk(x/sub k/). A well known result of Perron states that this system is asymptotically stable if A is stable and that F/sub k/(x) = f(x) = .omicron.(.norm.(x)). It is clear that this is purely a local result which gives no information about the size of the region of asymptotic stability nor the size of the solutions. In this paper, estimates for the size of the solutions and regions of stability are derived.
- 英文摘要: --
- 中文關鍵字: perturbed dynamical system, asymptotic stability, eigenvalue, norm
- 英文關鍵字: --