A Way to Exploit the Fractional Stability Domain for Robust Chaos Suppression and Synchronization via LMIs

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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.
Funding Information
  • SEP-Conacyt (CB-2011-168406)
  • ITSON PROFAPI (00468, 00566)

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