Title
A Way to Exploit the Fractional Stability Domain for Robust Chaos Suppression and Synchronization via LMIs.
Abstract
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 Aguiar181.18
Temoatzin González2313.60
Miguel Bernal333523.65