Lyapunov Characterization of the Fractional Nonlinear Systems with Exogenous Input

被引：17
|
作者：
Sene, Ndolane [1 ]
机构：
[1] Univ Cheikh Anta Diop Dakar, Dept Math Decis, Lab Lmdan, BP 5683, Dakar, Senegal
来源：
FRACTAL AND FRACTIONAL | 2018年 / 2卷 / 02期
关键词：
Riemann-Liouville derivative; fractional nonlinear systems; conditional asymptotic stability; STABILITY ANALYSIS;
D O I：
10.3390/fractalfract2020017
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper deals with a Lyapunov characterization of the conditional Mittag-Leffler stability and conditional asymptotic stability of the fractional nonlinear systems with exogenous input. A particular class of the fractional nonlinear systems is studied. The paper contributes to giving in particular the Lyapunov characterization of fractional linear systems and fractional bilinear systems with exogenous input.
引用
收藏
页码：1 / 10
页数：10
相关论文
共 50 条
  • [21] Finite energy Lyapunov function candidate for fractional order general nonlinear systems
    Li, Yan
    Zhao, Daduan
    Chen, YangQuan
    Podlubny, Igor
    Zhang, Chenghui
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2019, 78
  • [22] LYAPUNOV TYPE INEQUALITIES FOR NONLINEAR FRACTIONAL HAMILTONIAN SYSTEMS IN THE FRAME OF CONFORMABLE DERIVATIVES
    Zhang, Q., I
    Shao, J. I. N. G.
    MATHEMATICAL FOUNDATIONS OF COMPUTING, 2024, 7 (03): : 284 - 296
  • [23] Stability and stabilization of nonlinear fractional-order systems by Lyapunov direct approach
    Zhang, XueFeng
    Zou, Qi
    PROCEEDINGS OF THE 36TH CHINESE CONTROL CONFERENCE (CCC 2017), 2017, : 457 - 461
  • [24] Lyapunov Direct Method for Nonlinear Hadamard-Type Fractional Order Systems
    Dai, Changping
    Ma, Weiyuan
    FRACTAL AND FRACTIONAL, 2022, 6 (08)
  • [25] On global Lyapunov characterization of multi-stable nonlinear systems
    Efimov, Denis
    PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2009, : 6299 - 6304
  • [26] Identification of robotic systems with hysteresis using Nonlinear AutoRegressive eXogenous input models
    Zhang, Wanxin
    Zhu, Jihong
    Gu, Dongbing
    INTERNATIONAL JOURNAL OF ADVANCED ROBOTIC SYSTEMS, 2017, 14 (03): : 1 - 10
  • [27] Lyapunov method for the stability analysis of uncertain fractional-order systems under input saturation
    Shahri, Esmat Sadat Alaviyan
    Alfi, Alireza
    Tenreiro Machado, J. A.
    APPLIED MATHEMATICAL MODELLING, 2020, 81 : 663 - 672
  • [28] Stabilizing of a Class of Nonlinear Fractional Order Systems with Input Saturation Constraint
    Vedadi, Tahmine
    Soorki, Mojtaba Naderi
    Sabahi, Hanieh
    Mehrzadsamarin, Behzad
    2021 7TH INTERNATIONAL CONFERENCE ON CONTROL, INSTRUMENTATION AND AUTOMATION (ICCIA), 2021, : 207 - 211
  • [29] Unknown input observer design for a class of fractional order nonlinear systems
    Sharma, Vivek
    Shukla, Manoj
    Sharma, B. B.
    CHAOS SOLITONS & FRACTALS, 2018, 115 : 96 - 107
  • [30] Probabilistic characterization of nonlinear systems under Poisson white noise parametric input via complex fractional moments
    Di Matteo, Alberto
    Pirrotta, Antonina
    2014 INTERNATIONAL CONFERENCE ON FRACTIONAL DIFFERENTIATION AND ITS APPLICATIONS (ICFDA), 2014,
12345