非线性系统
数学
边值问题
数学分析
边界(拓扑)
Neumann边界条件
控制理论(社会学)
指数稳定性
不变(物理)
波动方程
理论(学习稳定性)
物理
计算机科学
控制(管理)
人工智能
机器学习
量子力学
数学物理
作者
Nicolas Vanspranghe,Francesco Ferrante,Christophe Prieur
出处
期刊:IEEE Transactions on Automatic Control
[Institute of Electrical and Electronics Engineers]
日期:2022-12-01
卷期号:67 (12): 6786-6793
标识
DOI:10.1109/tac.2021.3136086
摘要
This paper deals with a one-dimensional wave equation with a nonlinear dynamic boundary condition and a Neumann-type boundary control acting on the other extremity. We consider a class of nonlinear stabilizing feedbacks that only depend on the velocity at the controlled extremity. The uncontrolled boundary is subject to a nonlinear first-order term, which may represent nonlinear boundary anti-damping. Initial data is taken in the optimal energy space associated with the problem. Exponential decay of the mechanical energy is investigated in different cases. Stability and attractivity of suitable invariant sets are established.
科研通智能强力驱动
Strongly Powered by AbleSci AI