MITTAG-LEFFLER INPUT STABILITY OF FRACTIONAL DIFFERENTIAL EQUATIONS AND ITS APPLICATIONS

NDOLANE SENE

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MITTAG-LEFFLER INPUT STABILITY OF FRACTIONAL DIFFERENTIAL EQUATIONS AND ITS APPLICATIONS

机译：Mittag-Leffler输入分数微分方程及其应用的稳定性

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This paper addresses the Mittag-Leffler input stability of the frac- tional differential equations with exogenous inputs. We continuous the first note. We discuss three properties of the Mittag-Leffler input stability: converging- input converging-state, bounded-input bounded-state, and Mittag-Leffler sta- bility of the unforced fractional differential equation. We present the Lyapunov characterization of the Mittag-Leffler input stability, and conclude by introduc- ing the fractional input stability for delay fractional differential equations, and we provide its Lyapunov-Krasovskii characterization. Several examples are treated to highlight the Mittag-Leffler input stability.

机译：本文通过外源投入来解决脆弱的微分方程的Mittag-Leffler输入稳定性。我们连续第一个音符。我们讨论了Mittag-Leffler输入稳定性的三种属性：融合输入的收敛状态，有界输入有界限和Mittag-Leffler表示未加强的分数微分方程。我们介绍了Lyapunov对Mittag-Leffler输入稳定性的表征，并通过介绍了延迟分数微分方程的分数输入稳定性，我们提供了Lyapunov-Krasovskii表征。处理了几个例子以突出Mittag-Leffler输入稳定性。

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《Discrete and continuous dynamical systems▼hSeries S》 |2020年第3期|867-880|共14页
作者
NDOLANE SENE;
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作者单位

Departement de Mathematiques de la Decision Universite Cheikh Anta Diop de Dakar Laboratoire Lmdan BP 5683 Dakar Fann Senegal;

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原文格式 PDF
正文语种 eng
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关键词
Fractional derivative; fractional differential equations with exogenous inputs; Mittag-Leffler input stable;

机译：分数衍生物;具有外源投入的分数微分方程;Mittag-Leffler输入稳定;

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MITTAG-LEFFLER INPUT STABILITY OF FRACTIONAL DIFFERENTIAL EQUATIONS AND ITS APPLICATIONS

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