Name
Abstract | ||
|---|---|---|
After an overview of the results dedicated to stability analysis of systems described by differential equations involving fractional derivatives, also denoted fractional order systems, this paper deals with Linear Matrix Inequality (LMI) stability conditions for fractional order systems. Under commensurate order hypothesis, it is shown that a direct extension of the second Lyapunov's method is a tedious task. If the fractional order @n is such that 0 |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1016/j.camwa.2009.08.003 | Computers & Mathematics with Applications |
Keywords | Field | DocType |
linear matrix inequality,stability analysis,differential equation,fractional order,paper deal,commensurate order hypothesis,lmi stability condition,stability,fractional systems,fractional order system,fractional derivative,direct extension,linear matrix inequalities,stability condition | Lyapunov function,Differential equation,Mathematical optimization,Mathematical analysis,Instability,Stability conditions,Complex plane,Regular polygon,Fractional calculus,Linear matrix inequality,Mathematics | Journal |
Volume | Issue | ISSN |
59 | 5 | Computers and Mathematics with Applications |
Citations | PageRank | References |
76 | 4.43 | 7 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jocelyn Sabatier | 1 | 207 | 24.72 |
| Mathieu Moze | 2 | 91 | 8.54 |
| Christophe Farges | 3 | 146 | 12.98 |