Lyapunov stability criteria in terms of class K functions for Riemann-Liouville nabla fractional order systems.

Journal: ISA transactions
Published Date: May 17, 2022

Abstract

This paper focuses on the problem of stability analysis for Riemann-Liouville nabla fractional order systems. On one hand, a useful comparison principle is built and then a rigorous proof is constructed for the well-known Lyapunov stability criterion in terms of class K functions. On the other hand, the constraint of the Lyapunov function is refined using a positive constant γ or a sequence h(k), resulting two practical theorems. Finally, three illustrative examples are given to show the applicability of the proposed method.

Authors

  • Yiheng Wei
    School of Mathematics, Southeast University, Nanjing, 211189, China. Electronic address: neudawei@seu.edu.cn.
  • Xuan Zhao
    Department of Orthopedics & Elderly Spinal Surgery, Xuanwu Hospital of Capital Medical University, National Clinical Research Center for Geriatric Diseases, Beijing, China.
  • Yingdong Wei
    Department of Automation, University of Science and Technology of China, Hefei, 230026, China.
  • Yangquan Chen
    Department of Mechanical Engineering, University of California Merced, Merced, CA 95343, USA.

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