Analysis, Modeling and Stability of Fractional Order Differential Systems 1: The Infinite State Approach

by Jean-Claude Trigeassou and Nezha Maamri

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This book introduces an original fractional calculus methodology ('the infinite state approach') which is applied to the modeling of fractional order differential equations (FDEs) and systems (FDSs). Its modeling is based on the frequency distributed fractional integrator, while the resulting model corresponds to an integer order and infinite dimension state space representation. This original modeling allows the theoretical concepts of integer order systems to be generalized to fractional systems, with a particular emphasis on a convolution formulation.
  • ISBN10 1786302691
  • ISBN13 9781786302694
  • Publish Date 16 August 2019 (first published 5 August 2019)
  • Publish Status Active
  • Publish Country GB
  • Imprint ISTE Ltd
  • Format Hardcover
  • Pages 316
  • Language English