Mittag-Leffler Stability Theorem for Fractional Nonlinear Systems with Delay

By S. J. Sadati, Dumitru Băleanu, A. Ranjbar, R. Ghaderi, Thabet Abdeljawad. 2010

90 citations recorded by the source corpus.

Fractional calculus started to play an important role for analysis of the evolution of the nonlinear dynamical systems which are important in various branches of science and engineering. In this line of taught in this paper we studied the stability of fractional order nonlinear time-delay systems for Caputo's derivative, and we proved two theorems for Mittag-Leffler stability of the fractional nonlinear time delay systems.

Subfields: Control and Systems Engineering, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/8d802d188998d2cb45fc604ded473dcef28c115c

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In Control and Systems Engineering

In Modeling and Simulation

In Numerical Analysis

Citations in the corpus

Stability analysis of Caputo fractional-order nonlinear systems revisited (2011, background): “The stability of fractional-order nonlinear time-delay systems for Caputo’s derivative is studied in [16], also two theorems for Mittag–Leffler stability of the fractional nonlinear time delay systems are proved.”
Dissipativity and Stability Analysis for Fractional Functional Differential Equations (2015, methodology): “For the fractional-order nonlinear systems, a popular way is to extend the classical Lyapunov’s theorem and make use of the fractional comparison principle.”