Non-Uniform Reducing the Involved Differentiators’ Orders and Lyapunov Stability Preservation Problem in Dynamic Systems

作者: Vahid Badri , Mohammad Saleh Tavazoei

DOI: 10.1109/TCSII.2019.2922771

关键词:

摘要: Although uniform reduction of the differentiators' orders in the stable state-space integer order models yields in stable fractional order dynamics, stability may not be preserved by non-uniform reducing the orders of the involved differentiators. This fact causes that the powerful methods available for Lyapunov stability analysis of integer order systems cannot be easily applicable for stability analysis of the models obtained by non-uniform reduction of the orders (ie, incommensurate order models). To overcome such a challenge, this brief …

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