Title | ||
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A Way to Exploit the Fractional Stability Domain for Robust Chaos Suppression and Synchronization via LMIs. |
Abstract | ||
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This work is concerned with chaos suppression and synchronization of commensurate fractional systems with order q:0<;q<;1, both certain and uncertain, under the Riemann-Liouville definition. It is shown that the use of convex structures to exactly rewrite nonlinear expressions allows controller design to systematically exploit the fractional-order stability domain via linear matrix inequalities, which are efficiently solved via convex optimization techniques. Exploiting the fractional-order domain proves to be advantageous since it is always larger than the integer-order counterpart. The proposed approach is compared with former results on the subject in order to test its improvements as well as its limitations. |
Year | DOI | Venue |
---|---|---|
2016 | 10.1109/TAC.2015.2499963 | IEEE Trans. Automat. Contr. |
Keywords | Field | DocType |
Synchronization,Stability analysis,Artificial intelligence,Bismuth,Chaotic communication,Asymptotic stability | Synchronization,Mathematical optimization,Nonlinear system,Expression (mathematics),Control theory,Matrix (mathematics),Regular polygon,Exponential stability,Convex optimization,Mathematics,Synchronization of chaos | Journal |
Volume | Issue | ISSN |
61 | 10 | 0018-9286 |
Citations | PageRank | References |
3 | 0.41 | 19 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Braulio Aguiar | 1 | 8 | 1.18 |
Temoatzin González | 2 | 31 | 3.60 |
Miguel Bernal | 3 | 335 | 23.65 |