DOI: 10.1002/mma.70931 ISSN: 0170-4214
Stabilization of Acoustic Model With Generalized Positive Definite Kernel
Ze‐Hui Dai, Chan Li, Jia‐Yi Li, Kun‐Peng JinABSTRACT
This paper investigates the uniform stabilization of semilinear acoustic systems with memory damping, where the kernel function is derived from a generalized positive definite kernel (GPDK). By exploiting the properties of the GPDK and the structure of the acoustic model, we relax the classical requirements of kernel nonnegativity and monotonicity, and establish sufficient conditions for asymptotic, exponential, and polynomial stability.