Corrigendum to “Lyapunov functions for a class of nonlinear systems using caputo derivative” [Commun Nonlinear Sci Numer Simulat 43 (2017) 91–99]

This paper investigates the time-domain response of nabla discrete fractional order systems by exploring several useful properties of the nabla discrete Laplace transform and the discrete Mittag-Leffler function. In particular, we establish two fundamental properties of a nabla discrete fractional order system with nonzero initial instant: i) the existence and uniqueness of the system time-domain response; and ii) the dynamic behavior of the zero input response. Finally, one numerical example is provided to show the validity of the theoretical results.

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Lyapunov and external stability of Caputo fractional order switching systems

Liu

2019

Nonlinear Analysis: Hybrid Systems

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Corrigendum to “Lyapunov functions for a class of nonlinear systems using caputo derivative” [Commun Nonlinear Sci Numer Simulat 43 (2017) 91–99]

Cited by 4 publications

References 2 publications

Fractional difference inequalities for possible Lyapunov functions: a review

Fractional difference inequalities for possible Lyapunov functions: a review

Lyapunov functions for nabla discrete fractional order systems

Lyapunov and external stability of Caputo fractional order switching systems

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