Name
Title | ||
|---|---|---|
On The Existence Of Polynomial Lyapunov Functions For Rationally Stable Vector Fields |
Abstract | ||
|---|---|---|
This paper proves the existence of polynomial Lyapunov functions for rationally stable vector fields. For practical purposes the existence of polynomial Lyapunov functions plays a significant role since polynomial Lyapunov functions can be found algorithmically. The paper extents an existing result on exponentially stable vector fields to the case of rational stability. For asymptotically stable vector fields a known counter example is investigated to exhibit the mechanisms responsible for the inability to extend the result further. |
Year | Venue | Field |
|---|---|---|
2017 | 2017 IEEE 56TH ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC) | Applied mathematics,Lyapunov function,Polynomial,Computer science,Vector field,Control theory,Exponential stability,Counterexample,Trajectory,Numerical stability,Stability theory |
DocType | ISSN | Citations |
Conference | 0743-1546 | 2 |
PageRank | References | Authors |
0.39 | 0 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Tobias Leth | 1 | 2 | 0.39 |
| Rafal Wisniewski | 2 | 52 | 11.11 |
| Christoffer Sloth | 3 | 59 | 14.07 |