Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1707997 | Applied Mathematics Letters | 2014 | 8 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Fuchen Zhang, Chunlai Mu, Liangwei Wang, Guangyun Zhang, Iftikhar Ahmed,