In this paper, we investigate the observation and stabilisation problems for a class of linear time-invariant systems, subject to unknown states, and network constraints, including time-delays and event-triggered sampling. A new type of event-triggered mechanism is proposed based on an appropriate storage function, which is chosen larger than the derivative of Lyapunov function. Thus, the convergence of the observer system is guaranteed by the negativity of this storage function. With the utilisation of LMI techniques and the designed novel event-triggered mechanism, as well as the utilisation of a Wirtinger-based inequality, only a slight over-estimation exists in the process of obtaining stability conditions, leading to reduced conservatism. With simulations of a mobile cart system, the effectiveness of this novel event-triggered mechanism is proven through a comparison with a classical event-triggered and also periodic time-triggered mechanisms.

在本文中，我们研究了一类线性时不变系统的观察和稳定问题，这些系统受未知状态和网络约束，包括时间延迟和事件触发采样。提出了一种基于适当存储函数的新型事件触发机制，该存储函数选择大于Lyapunov函数的导数。因此，这个存储函数的负性保证了观察者系统的收敛性。通过使用 LMI 技术和设计的新颖的事件触发机制，以及使用基于 Wirtinger 的不等式，在获得稳定性条件的过程中仅存在轻微的高估，从而降低了保守性。通过模拟移动推车系统，