állapottartomány

Állapottartomány, a Hungarian term, translates to "state domain" or "state space" in English. It is a concept used in various fields, particularly in computer science, control theory, and physics, to describe the set of all possible states that a system can occupy. A state in this context is a complete description of the system at a given point in time. For example, in a simple thermostat system, the state might be defined by the current temperature and the setpoint. The state domain would then be the range of all possible temperatures and setpoints the thermostat can handle.

The concept of a state domain is fundamental for understanding and analyzing system behavior. It allows for a formal representation of how a system evolves over time. Transitions between states are governed by rules or dynamics specific to the system. In discrete systems, the state domain is typically a finite set of distinct states. In continuous systems, the state domain is usually an infinite set, often represented as a region in a multi-dimensional space. The size and nature of the state domain have significant implications for the complexity of system analysis and control design. Identifying and understanding the state domain is often a crucial first step in designing algorithms or controllers for a given system.