# An extension of a Liapunov approach to the stabilization of second order coupled systems

## TL;DR

This paper extends a Lyapunov method to analyze the energy decay in second order coupled systems, providing a new approach for stabilization.

## Contribution

It introduces an extended Lyapunov approach specifically designed for second order coupled systems to ensure energy convergence.

## Key findings

- Demonstrates energy decay using the extended Lyapunov function
- Provides conditions for stabilization of coupled systems
- Offers a new analytical tool for system stability analysis

## Abstract

This paper deals with the convergence to 0 of the energy of the solutions of a second order linear coupled system. In order to obtain the energy decay, we exhibit a Liapunov function.