An extension of estimation of domain of attraction for fractional order linear system subject to saturation control

• Published in: Applied mathematics letters Vol. 47; pp. 26 - 34
• Main Authors: Alaviyan Shahri, Esmat Sadat, Alfi, Alireza, Tenreiro Machado, J.A.
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.09.2015
• Subjects: Domain of attraction; Ellipsoid approach; Fractional-order systems; Input saturation; Stability; Input saturation; Ellipsoid approach; Stability; Fractional-order systems; Domain of attraction

This paper employs the Lyapunov direct method for the stability analysis of fractional order linear systems subject to input saturation. A new stability condition based on saturation function is adopted for estimating the domain of attraction via ellipsoid approach. To further improve this estimatio...