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

----- 分数阶微分系统的分析、建模与稳定性：无限状态方法

ISBN: 9781786302694 出版年：2019 页码：320 Jean-Claude Trigeassou Nezha Maamri Wiley

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.