On the new results of global exponential attractive set

In this paper, the global exponential attractive sets of a class of continuous-time dynamical systems defined by ẋ=f(x),x∈Rn are studied. The elements of main diagonal of matrix AA are both negative numbers and zero, where matrix AA is the Jacobian matrix dfdx of a continuous-time dynamical system defined by ẋ=f(x),x∈Rn evaluated at the origin x0=(0,0,…,0)1×nx0=(0,0,…,0)1×n. However, note that the former equations that we are searching for a global bounded region have a common characteristic: the elements of main diagonal of matrix AA are all negative. As far as we know, very few papers have addressed this problem.