Exponential stabilization of piezoelectric beams with magnetic effect and second sound

In this work, we consider the piezoelectric beams model with second sound, that is, the model includes thermal effect given by the Cattaneo’s law of heat conduction. Existence and uniqueness of solutions of the system is proved by the semigroup theory. We prove that the system is exponentially stable using the energy method with the multiplier techniques. This result is obtained without depending on any relationship between the coefficients.