Name
Abstract | ||
|---|---|---|
Lyapunov stability of fractional differential equations is addressed in this paper. The key concept is the frequency distributed fractional integrator model, which is the basis for a global state space model of FDEs. Two approaches are presented: the direct one is intuitive but it leads to a large dimension parametric problem while the indirect one, which is based on the continuous frequency distribution, leads to a parsimonious solution. Two examples, with linear and nonlinear FDEs, exhibit the main features of this new methodology. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.sigpro.2010.04.024 | Signal Processing |
Keywords | Field | DocType |
key concept,lyapunov stability,fractional integrator model,fractional integrator,main feature,global state space model,fractional differential equation,nonlinear fdes,new methodology,lyapunov approach,large dimension parametric problem,fractional differential equations,state space models,continuous frequency distribution,state space model | Differential equation,Mathematical optimization,Nonlinear system,Control theory,State-space representation,Integrator,Lyapunov stability,Parametric statistics,Fractional calculus,Fractional programming,Mathematics | Journal |
Volume | Issue | ISSN |
91 | 3 | Signal Processing |
Citations | PageRank | References |
64 | 4.48 | 2 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| J. C. Trigeassou | 1 | 112 | 8.45 |
| N. Maamri | 2 | 122 | 10.09 |
| J. Sabatier | 3 | 106 | 7.48 |
| A. Oustaloup | 4 | 212 | 20.37 |