SIAM Journal on Control and Optimization, Volume 59, Issue 1, Page 1-23, January 2021.
In this paper, we study the robust stability of a networked control system (NCS) under the framework of infinite-dimensional discrete-time linear time-varying (LTV) systems. The NCS consists of a pair of uncertain plant and controller, as well as an uncertain bilateral communication channel in between. The uncertainties in the plant and controller are measured by the gap metric. The communication channel between the plant and controller is described by a cascade of two-port networks whose transmission matrices are subject to norm-bounded additive uncertainties. Such an uncertain two-port network can model distortions and interferences occurring during control and measurement signal transmissions. The causality of the LTV subsystems is characterized by using nest algebras. A necessary and sufficient condition for the robust stability of the NCS, with the causality of all system components explicitly considered, is established in the form of an arcsine inequality which generalizes a similar result for linear time-invariant NCSs.

中文翻译：

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具有工厂，控制器和通信通道中同时不确定性的LTV系统的网络鲁棒稳定性

SIAM控制与优化杂志，第59卷，第1期，第1-23页，2021年1月。
在本文中，我们研究了在无限维离散时间线性时变（LTV）系统框架下的网络控制系统（NCS）的鲁棒稳定性。NCS由一对不确定的工厂和控制器，以及它们之间的不确定的双边通讯渠道组成。设备和控制器中的不确定性通过差距度量来衡量。工厂和控制器之间的通信通道由两端口网络的级联描述，其传输矩阵受到范数界的附加不确定性的影响。这种不确定的两端口网络可以对在控制和测量信号传输期间发生的失真和干扰进行建模。LTV子系统的因果关系通过使用嵌套代数来表征。NCS鲁棒稳定性的必要和充分条件，