time varying system

简明释义

随时间变换系统

英英释义

例句

1.The performance of a time varying system 时变系统 can be significantly affected by environmental changes.

环境变化可以显著影响时变系统 time varying system 的性能。

2.Engineers often model a time varying system 时变系统 to simulate how a bridge responds to different loads throughout the day.

工程师们通常建模一个时变系统 time varying system 来模拟桥梁在一天内对不同载荷的响应。

3.In signal processing, a time varying system 时变系统 can be used to filter signals that change over time.

在信号处理领域，时变系统 time varying system 可用于过滤随时间变化的信号。

4.The analysis of a time varying system 时变系统 requires advanced mathematical tools to account for its dynamic nature.

对时变系统 time varying system 的分析需要先进的数学工具来考虑其动态特性。

5.In control theory, a time varying system 时变系统 can change its behavior over time depending on external inputs.

在控制理论中，时变系统 time varying system 可以根据外部输入随时间改变其行为。

作文

In the field of engineering and physics, the concept of a time varying system is crucial for understanding how systems behave over time. A time varying system refers to any system whose parameters change with respect to time. This can include anything from electrical circuits to mechanical systems, and understanding these changes is vital for accurate modeling and prediction. For instance, consider an electrical circuit where the resistance or capacitance may change due to temperature fluctuations or material aging. In this case, the circuit can be classified as a time varying system because its behavior and performance will differ at various times. Engineers must take these variations into account when designing systems to ensure they function correctly under different conditions. One of the key challenges in working with time varying systems is that traditional methods of analysis may not apply. For example, in a steady-state system, the equations governing the system can often be simplified, making them easier to solve. However, for a time varying system, these simplifications are not valid, and more complex mathematical tools must be employed. Mathematical techniques such as differential equations and state-space representation are commonly used to analyze time varying systems. These approaches allow engineers and scientists to model the dynamics of the system and predict future behavior based on current states. By using these methods, one can gain insights into how the system evolves over time, which is essential for applications ranging from control systems to signal processing. In practical terms, the implications of working with time varying systems are significant. For example, consider a vehicle's suspension system, which must adapt to changing road conditions and loads. If the system were treated as static, it could lead to poor performance, safety issues, and increased wear and tear on components. By recognizing the system as a time varying system, engineers can design adaptive suspension systems that respond in real-time to changes, providing a smoother ride and enhancing safety. Moreover, time varying systems are prevalent in the natural world as well. Weather patterns, ecological systems, and even human behavior can all be described as time varying systems. Understanding these systems is essential for fields like meteorology, environmental science, and social sciences, where researchers strive to predict changes and trends over time. In conclusion, the study of time varying systems is a fundamental aspect of many scientific and engineering disciplines. Recognizing that systems are not always static allows for more accurate modeling and better decision-making. As technology continues to advance, our ability to analyze and understand time varying systems will only improve, leading to innovations that enhance our daily lives and the world around us. By embracing the complexities of time varying systems, we can unlock new possibilities and drive progress in numerous fields.

在工程和物理学领域，时间变化系统的概念对于理解系统随时间变化的行为至关重要。时间变化系统指的是任何参数随时间变化的系统。这可以包括从电路到机械系统的任何东西，理解这些变化对于准确建模和预测至关重要。例如，考虑一个电路，其电阻或电容可能因温度波动或材料老化而变化。在这种情况下，该电路可以被归类为时间变化系统，因为它的行为和性能在不同时间会有所不同。工程师必须考虑这些变化，以确保系统在不同条件下正常运行。处理时间变化系统的主要挑战之一是传统分析方法可能不适用。例如，在稳态系统中，控制系统的方程通常可以简化，从而更易于求解。然而，对于时间变化系统，这些简化是不成立的，必须采用更复杂的数学工具。微分方程和状态空间表示等数学技术通常用于分析时间变化系统。这些方法使工程师和科学家能够对系统的动态进行建模，并根据当前状态预测未来行为。通过使用这些方法，可以深入了解系统如何随时间演变，这对于从控制系统到信号处理等应用至关重要。在实际应用中，处理时间变化系统的影响是显著的。例如，考虑车辆的悬挂系统，它必须适应不断变化的道路条件和负载。如果将该系统视为静态，则可能导致性能不佳、安全问题以及部件磨损加剧。通过将系统视为时间变化系统，工程师可以设计出实时响应变化的自适应悬挂系统，从而提供更平稳的驾驶体验并增强安全性。此外，时间变化系统在自然界中也很常见。天气模式、生态系统甚至人类行为都可以被描述为时间变化系统。理解这些系统对于气象学、环境科学和社会科学等领域至关重要，研究人员努力预测随时间变化的变化和趋势。总之，时间变化系统的研究是许多科学和工程学科的基本方面。认识到系统并不总是静态的，可以实现更准确的建模和更好的决策。随着技术的不断进步，我们分析和理解时间变化系统的能力只会提高，从而推动创新，提升我们的日常生活和周围世界。通过拥抱时间变化系统的复杂性，我们可以解锁新的可能性，推动多个领域的进步。