Discretized feedback control for systems of linearized hyperbolic balance laws
Discretized feedback control for systems of linearized hyperbolic balance laws
复制标题
线性双曲平衡律系统的离散反馈控制
DOI：
10.3934/mcrf.2019024
复制
发表时间：
2019
影响因子：
1.2
通讯作者：
M. Herty
中科院分区：
文献类型：
--
作者：
Stephan Gerster;M. Herty
物理系统，如水和天然气网络，通常在平衡状态下运行，并采用反馈控制来阻尼随时间的小扰动。我们考虑网络上的流问题，描述双曲平衡律，并分析线性化系统的稳定性。在连续和离散设置指数稳定的充分条件。分析扩展到任意Sobolev规范。计算实验说明了理论研究结果。
Physical systems such as water and gas networks are usually operated in a state of equilibrium and feedback control is employed to damp small perturbations over time. We consider flow problems on networks, described by hyperbolic balance laws, and analyze the stability of the linearized systems. Sufficient conditions for exponential stability in the continuous and discretized setting are presented. The analysis is extended to arbitrary Sobolev norms. Computational experiments illustrate the theoretical findings.