Boundary Mittag-Leffler stabilization and disturbance rejection for time fractional ODE diffusion-wave equation cascaded systems

Jiake Sun*, Junmin Wang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

This paper investigates the boundary stabilization of time fractional-order ODE cascaded with time fractional-order diffusion-wave equation systems subject to external disturbance. We stabilize the systems by using sliding mode control method and backstepping method. We prove the existence of the generalized solution of the closed-loop systems by Galerkin's method and successive approximation method. The Mittag-Leffler stability of the systems is proven by Lyapunov method. The numerical simulations are presented to illustrate the validity of the theoretical results.

Original languageEnglish
Article number108568
JournalCommunications in Nonlinear Science and Numerical Simulation
Volume142
DOIs
Publication statusPublished - Mar 2025

Keywords

  • Backstepping method
  • Galerkin's method
  • Mittag-Leffler stability
  • Sliding mode control

Fingerprint

Dive into the research topics of 'Boundary Mittag-Leffler stabilization and disturbance rejection for time fractional ODE diffusion-wave equation cascaded systems'. Together they form a unique fingerprint.

Cite this