Fundamentals of Fractional-order Systems

Part of the Advances in Industrial Control book series (AIC)


Essentially, the mathematical problem for defining fractional-order derivatives and integrals consists of the following [2,7]: to establish, for each function f(z), z = x + jy of a general enough class, and for each number α (rational, irrational or complex), a correspondence with a function \( g(z) = \mathcal{D}^{\alpha}_{c} f(z) \) fulfilling the following conditions.


Riemann Surface Step Response Frequency Domain Response Classical Control Theory Gain Crossover Frequency 
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© Springer-Verlag London Limited 2010

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