Chapter 10Anti-Synchronization Control for Fractional-Order Nonlinear Systems Using Disturbance Observer and Neural Networks
10.1 Problem Statement
According to the Caputo definition of the fractional derivative (2.17), the fractional-order nonlinear system will be described. Considering the following fractional-order nonlinear system as the master system:
where 
denotes the constant matrix, 
is the state vector, 
is the nonlinear function vector, and the fractional order satisfies 
.
The slave system with system uncertainty and external disturbance is given as follows:
where 
is the state vector, 
is the nonlinear function vector, is the unknown bounded disturbance, is the control ...
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