Chapter 12Synchronization Control for Fractional-Order Chaotic Systems with Input Saturation and Disturbance
12.1 Problem Statement
Based on the Caputo definition of the fractional derivative (2.17), we consider a class of fractional-order chaotic systems with unknown constant disturbance in the form of
where 
is a constant matrix, 
is a state vector, 
is a nonlinear function vector, 
, 
is an unknown bounded disturbance, and 
.
To design the synchronization control scheme, the FOCS (12.1) is taken as the drive system, and the response system is constructed as
where 
, is a state vector, ...
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