What is the difference between type and order of a system?

The type of a system refers to its fundamental characteristics, such as linearity or non-linearity, time-variance or time-invariance, and whether it is continuous or discrete. In contrast, the order of a system indicates the highest derivative present in its differential equation, which reflects the system's memory and behavior over time. For example, a first-order system has one energy storage element, while a second-order system has two, affecting its response to inputs and stability. Understanding both type and order is essential for analyzing and designing control systems.