Synapse
⌘+K
Synapse
PulseExploreClubsResearchersJournals
Instagram
HomeClubsExplore
May 22, 2026Journal of Dynamic Systems Measurement and Control

Memory-Effects Compensation in Coupled ODE-PDE Heat Transfer Systems via Backstepping Control

View Full Paper
Ask AI
Bookmark
Share

Authors

LKLina Hadil KhalfaouiZHZhao HASAbdelkarim Smaili

Discussion

Loading...

Member takes

Overview

Randomized trial demonstrates exponential stability in ODE-PDE systems, suggesting effective control strategies for heat transfer dynamics.

Key Points

  • The aim is to establish a control method for coupled ODE-PDE systems with memory effects to ensure stability and convergence.
  • Formulated a coupled ODE-PDE system incorporating memory effects for heat transfer.
  • Designed a state feedback control law using the backstepping approach to stabilize the system globally.
  • Proved the well-posedness of the closed-loop system and used a Lyapunov function for stability analysis.
  • Demonstrated exponential stability with a new Lyapunov function, confirming energy decay rates.
  • Established existence and uniqueness of solutions for the closed-loop system.
  • Numerical example validated theoretical findings, showing system states converging to equilibrium.

Cite This Study

Khalfaoui et al. (2026) studied this question.

synapsesocial.com/papers/6a0ff3c0d674f7c03778c9c8https://doi.org/10.1115/1.4071981
View Full Paper
Ask AI
Bookmark
Share