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A novel general stability criterion of time-delay fractional-order nonlinear systems based on WILL Deduction Method

  • Published:2020-12 Issue: Volume:178 Page:328-344
  • ISSN:0378-4754
  • Container-title:Mathematics and Computers in Simulation
  • language:en
  • Short-container-title:Mathematics and Computers in Simulation

Author:

Zhang Zhe,Zhang Jing,Ai Zhaoyang,Cheng FanYong,Liu Feng

Funder

National Nature Science Foundation of China

Hunan Provincial Innovation Foundation For Postgraduate

Publisher

Elsevier BV

Subject

Applied Mathematics,Modeling and Simulation,Numerical Analysis,General Computer Science,Theoretical Computer Science

Reference24 articles.

1. A priori estimates for solutions of boundary value problems for fractional-order equations;Alikhanov;Differential Equations,2010

2. A Caputo fractional derivative of a function with respect to another function;Almeida;Commun. Nonlinear Sci. Numer. Simul.,2017

3. The Routh–Hurwitz conditions of fractional type in stability analysis of the Lorenz dynamical system;Čermák;Nonlinear Dynam.,2017

4. Fractional order Lyapunov stability theorem and its applications in synchronization of complex dynamical networks;Chen;Commun. Nonlinear Sci. Numer. Simul.,2014

5. Synchronization of nonlinear fractional order systems by means of PIrα reduced order observer;Cruz-Victoria;Appl. Math. Comput.,2015
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