This study introduces a new and promising stability approach for Caputo-Fabrizio (CF)-fractional-order system. A new fractional comparison principle for this nonsingular kernel fractional derivative is proposed. Next, a key inequality is suggested to analysis the Lyapunov-based stability of assumed systems. Afterwards, class-K functions are established to analysis of fractional Lyapunov direct method. At last, an explanatory example is given to validate the proposed idea. This new and novel approach can be expanded to the other types of nonsingular kernel derivatives due to a simple and effective idea beyond the proposed procedure.

A new Lyapunov stability analysis of fractional-order systems with nonsingular kernel derivative / Salahshour, S.; Ahmadian, A.; Salimi, M.; Pansera, B. A.; Ferrara, M.. - In: ALEXANDRIA ENGINEERING JOURNAL. - ISSN 1110-0168. - 59:5(2020), pp. 2985-2990. [10.1016/j.aej.2020.03.040]

A new Lyapunov stability analysis of fractional-order systems with nonsingular kernel derivative

Pansera B. A.;Ferrara M.
2020-01-01

Abstract

This study introduces a new and promising stability approach for Caputo-Fabrizio (CF)-fractional-order system. A new fractional comparison principle for this nonsingular kernel fractional derivative is proposed. Next, a key inequality is suggested to analysis the Lyapunov-based stability of assumed systems. Afterwards, class-K functions are established to analysis of fractional Lyapunov direct method. At last, an explanatory example is given to validate the proposed idea. This new and novel approach can be expanded to the other types of nonsingular kernel derivatives due to a simple and effective idea beyond the proposed procedure.
2020
Caputo-Fabrizio derivative
Exponential stability
Fractional-order system
Lyapunov function
Nonautonomous system
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12318/81380
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