摘要
In this paper we detail the relations between the uniformly asymptotic stability, uniformly asymptotic stability in exponential type and the special linear system, we obtain the following results:1. If a differential system is topologically equivalent to the linear system =-x, then the zero solution of that system is uniformly asymptotically stable.2. If the zero solution of the differential system is uniformly asymptotically stable in exponential type, then that system is topologically equivalent to the linear system = -x.
In this paper we detail the relations between the uniformly asymptotic stability, uniformly asymptotic stability in exponential type and the special linear system, we obtain the following results:1. If a differential system is topologically equivalent to the linear system =-x, then the zero solution of that system is uniformly asymptotically stable.2. If the zero solution of the differential system is uniformly asymptotically stable in exponential type, then that system is topologically equivalent to the linear system = -x.
