Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5010467 | Systems & Control Letters | 2017 | 6 Pages |
Abstract
We study global convergence to zero of the solutions of the nth order differential equation xÌ=Ï(t)Ïâ¤(t)x. We are interested in the case when the vector Ï is not persistently exciting, which is a necessary and sufficient condition for global exponential stability. In particular, we establish new necessary conditions on Ï(t) for global asymptotic stability of the zero equilibrium of the “unexcited” system. A new sufficient condition, that is strictly weaker than the ones reported in the literature, is also established. Unfortunately, it is also shown that this condition is not necessary.
Related Topics
Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Nikita Barabanov, Romeo Ortega,