Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4630339 | Applied Mathematics and Computation | 2011 | 10 Pages |
Abstract
This paper deals with the master–slave synchronization scheme for partially known nonlinear fractional order systems, where the unknown dynamics is considered as the master system and we propose the slave system structure which estimates the unknown state variables. For solving this problem we introduce a Fractional Algebraic Observability (FAO) property which is used as a main tool in the design of the master system. As numerical examples we consider a fractional order Rössler hyperchaotic system and a fractional order Lorenz chaotic system and by means of some simulations we show the effectiveness of the suggested approach.
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Rafael Martínez-Martínez, Juan L. Mata-Machuca, Rafael Martínez-Guerra, Jorge A. León, Guillermo Fernández-Anaya,