Stability of Wave-Plate Transmission System with Boundary Controls on Riemannian Manifold

• Published in: Journal of systems science and complexity Vol. 38; no. 5; pp. 2028 - 2045
• Main Authors: Zhang, Tong, Hao, Jianghao, Zhang, Yajing
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2025; Springer Nature B.V
• Subjects: Complex Systems; Control; Energy methods; Mathematics; Mathematics and Statistics; Mathematics of Computing; Operations Research/Decision Theory; Polynomials; Riemann manifold; Statistics; Systems Theory; Boundary controls; Riemannian manifold; stability; transmission system

In this paper, the authors consider a wave-plate transmission system on Riemannian manifold with boundary controls on the plate equation. This model arises from the noise control and is extended to the broader context of the Riemannian manifold. By employing the semigroup method, the authors obtain...