Chapter 11Synchronization Control for Fractional-Order Systems Subjected to Input Saturation
11.1 Problem Statement
According to the Caputo fractional derivative (2.17), the following nonlinear FOCS is considered:
where 
is a constant matrix, 
is a state vector, 
is the nonlinear function vector, and the fractional order 
satisfies 
.
To study the synchronization of nonlinear fractional-order systems, the FOCS (11.1) is taken as the master system, and the slave system is defined by
where 
is a state vector, 
is the control input vector, and is the nonlinear function vector. Further, ...
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