Name
Title | ||
|---|---|---|
A general result on non-existence of finite-time stable equilibria in fractional-order systems. |
Abstract | ||
|---|---|---|
It is well known that a fractional-order system with a continuous right hand side does not have finite-time stable equilibria, but the discontinuous case has remained elusive in literature. Thus, based on novel mathematical tools, recently published in literature, it is demonstrated that attaining finite-time stable equilibria is not possible for a fractional-order system, not even in the case of an impulsive or discontinuous feedback. In consequence, it is demonstrated that, for a fractional-order system, a Lyapunov stable equilibrium cannot be at the same time finite-time stable. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1016/j.jfranklin.2018.11.001 | Journal of the Franklin Institute |
Field | DocType | Volume |
Applied mathematics,Lyapunov function,Control theory,Stable equilibrium,Mathematics,Finite time | Journal | 356 |
Issue | ISSN | Citations |
1 | 0016-0032 | 0 |
PageRank | References | Authors |
0.34 | 11 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| A.-J. Munoz-Vazquez | 1 | 42 | 9.97 |
| Anand Sanchez-Orta | 2 | 47 | 7.64 |
| Vicente Parra-Vega | 3 | 180 | 33.57 |