Abstract: Lyapunov stability of linear noncommensurate order fractional systems is treated in this paper. The proposed methodology is based on the concept of fractional energy stored in inductor and capacitor components, where natural ...

Abstract: In this paper, the initialization of fractional order systems is analyzed. The objective is to prove that the usual pseudostate variable x(t) is unable to predict the future behavior of the system, whereas the infinite ...

Abstract: Lyapunov stability of linear commensurate order fractional systems is revisited with the energy balance principle. This methodology is based on the concept of fractional energy stored in inductor and capacitor components, ...

Abstract: As fractionalorder systems are becoming more widely accepted and their usage is increasing, it is important to understand their energy storage and loss properties. Fractionalorder operators can be implemented using a ...

Abstract: Proper initialization of fractionalorder operators has been an ongoing problem, particularly in the application of Laplace transforms with correct initialization terms. In the last few years, a historyfunctionbased ...