Initialization in fractional order systems

  title={Initialization in fractional order systems},
  author={Carl F. Lorenzo and Tom T. Hartley},
  journal={2001 European Control Conference (ECC)},
This paper proves the requirement of a time-varying initialization for fractional differential equations. This then requires a new definition for the fractional differintegral that includes the initialization and a new form of the Laplace transform of the fractional differintegral. An initialized fractional system theory is developed. 
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