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The stability of a neutral dynamic system is a major study in the class of delay systems. In this effort, we study the stability of fractional-order nonlinear dynamic systems utilizing… Click to show full abstract
The stability of a neutral dynamic system is a major study in the class of delay systems. In this effort, we study the stability of fractional-order nonlinear dynamic systems utilizing Lyapunov direct method based on fractional calculus (fractional differential operator and fractional integral operator type Riemann–Liouville operators). We suggest a new non-Lipschitz fractional Lyapunov function. This function is a generalization of the well known Lyapunov functions. We investigate the speed of convergence for special cases. Applications are clarified in the sequel.
Journal Title: International Journal of Dynamics and Control
Year Published: 2018
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