Resilience has increasingly become a crucial topic to the function of various real-world systems as our planet undergoes a rising trend of uncertainty and change due to natural, human and technological causes. Despite its ubiquitous use, the term resilience is poorly and often inconsistently used in various disciplines, hindering its universal understanding and application. This study applies the resilience system interpretation framework, which defines resilience irrespective of its disciplinary association, in the form of adaptation and adaptive systems, to two traffic flow systems. The system framework defines resilience as the ability of the system state and form to return to their initial or other suitable state or form through passive and active feedback structures. Both components of the system framework are demonstrated through practical simulation scenarios on the modified viscous Burgers’ equation and the LWR-Greenshields model equipped with an adaptive Extremum seeking control, respectively. This novel and systematic understanding of resilience will advance resilience analysis, design, and measurement processes in various real-world systems in a unified fashion and subsequently pave the way for resilience operationalization and its integration into industry standards. A novel system definition for resilience and its constituent elements in the form of adaption is presented. The system framework is subsequently applied to two simple traffic flow systems. Modified viscous Burgers’ equation and LWR-Greenshields model equipped with an adaptive Extremum seeking control demonstrate the passive and active feedback structures as the two tools for obtaining system resilience. This cross-disciplinary system framework offers the potential for a greater understanding of resilience, eliminates overlap, and paves the way toward resilience operationalization.

中文翻译：

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弹性和系统 - 交通流案例

由于自然、人为和技术原因，我们的星球正经历着不断上升的不确定性和变化趋势，弹性日益成为各种现实世界系统功能的关键话题。尽管弹性一词被广泛使用，但它在各个学科中的使用效果不佳且常常不一致，阻碍了其普遍理解和应用。本研究将弹性系统解释框架应用于两个交通流系统，该框架以适应和自适应系统的形式定义了弹性，无论其学科关联如何。系统框架将弹性定义为系统状态和形式通过被动和主动反馈结构返回到其初始或其他合适状态或形式的能力。系统框架的两个组成部分分别通过修改后的粘性 Burgers 方程和配备自适应极值搜索控制的 LWR-Greenshields 模型的实际模拟场景进行了演示。这种对弹性的新颖和系统的理解将以统一的方式推进各种现实世界系统中的弹性分析、设计和测量流程，并随后为弹性操作化及其融入行业标准铺平道路。提出了一种新的弹性系统定义及其以适应形式构成的要素。该系统框架随后应用于两个简单的交通流系统。改进的粘性 Burgers 方程和配备自适应极值搜索控制的 LWR-Greenshields 模型证明了被动和主动反馈结构是获得系统弹性的两种工具。这种跨学科的系统框架提供了更好地理解弹性的潜力，消除了重叠，并为弹性运作铺平了道路。