Lyapunov method for nonlinear fractional differential systems with delay-Reference-Cited by-同舟云学术

Lyapunov method for nonlinear fractional differential systems with delay

Published:2015-06-24 Issue:1-2 Volume:82 Page:1015-1025
ISSN:0924-090X
Container-title:Nonlinear Dynamics
language:en
Short-container-title:Nonlinear Dyn

Author:

Wen Yanhua,Zhou Xian-Feng,Zhang Zhixin,Liu Song

Funder

National Natural Science Foundation of China

National Natural Science Foundation of Anhui Province

Research Fund for Doctoral Program of Higher Education of China

Natural Science Foundation for Colleges and Universities of Anhui Province

The program of Academic Innovation Research for Postgraduate of Anhui University

Publisher

Springer Science and Business Media LLC

Subject

Electrical and Electronic Engineering,Applied Mathematics,Mechanical Engineering,Ocean Engineering,Aerospace Engineering,Control and Systems Engineering

Link

http://link.springer.com/content/pdf/10.1007/s11071-015-2214-y.pdf

Reference33 articles.

1. Podlubny, I.: Fractional Differential Equations. Academic Press, New York (1993)

2. Miller, K.S., Ross, B.: An Introduction to the Fractional Calculus and Differential Equations. Wiley, New York (1993)

3. Kilbas, A.A., Srivastava, H.M., Trujillo, J.J.: Theory and Applications of Fractional Differential Equations. Elsevier, Amsterdan (2006)

4. Lakshmikantham, V., Leela, S., Vasundhara Devi, J.: Theory of Fractional Dynamic Systems. Cambridge Scientific Publishers, Cambridge (2009)

5. Diethelm, K.: The Analysis of Fractional Differential Equations. Springer, Heidelberg (2010)

Cited by 58 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Stabilization for a class of fractional-order nonlinear reaction–diffusion systems with time-varying delay: Event-triggered boundary control approach;Mathematics and Computers in Simulation;2025-02

2. Asymptotic stability analysis of time delayed fractional-order replicator dynamics with government’s intervention;Neurocomputing;2024-12

3. Stability and stabilization of fractional-order singular interconnected delay systems;Communications in Nonlinear Science and Numerical Simulation;2024-11

4. Advanced Observation-Based Bipartite Containment Control of Fractional-Order Multi-Agent Systems Considering Hostile Environments, Nonlinear Delayed Dynamics, and Disturbance Compensation;Fractal and Fractional;2024-08-13

5. Asymptotic Stability Analysis and Stabilization Control for General Fractional-Order Neural Networks Via an Unified Lyapunov Function;IEEE Transactions on Network Science and Engineering;2024