How do continuously variable systems differ from discrete systems?

Continuously variable systems are characterized by the ability to take on an infinite number of states or values within a specific range. This means that, unlike discrete systems, which can only exist in fixed states (like on/off or binary values), continuously variable systems can operate smoothly across a spectrum of values, such as pressure levels, temperatures, or fluid flow rates. This capability allows for more precise control and nuanced responses in applications where gradual changes are necessary, such as in analog control systems.

As a result, continuously variable systems are often preferred in scenarios requiring fine-tuning and detailed regulation, whereas discrete systems are typically used in applications with clear, distinct changes that do not require such granularity. Understanding this fundamental difference is crucial for selecting the appropriate type of system based on the control needs of a given application.