Well-posedness and exponential stability of a flexible structure with second sound and time delay

ABSTRACT

In this paper, we consider a non-uniform flexible structure with time delay under Cattaneo's law of heat condition. We prove that the system is well-posed, and the system is exponential decay under a small condition on time delay.

KEYWORDS:

• Cattaneo's law
• semigroup theory
• exponential stability
• delay

2010 MATHEMATICS SUBJECT CLASSIFICATIONS:

• 35L05
• 37C75
• 93D05

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by the National Natural Science Foundation of China [Grant No. 11771214], and the initial funding for talents of Nanjing University of Information Science and Technology.