A state space is a mathematical concept used to represent all possible states of a system. In this context, a "state" refers to a specific condition or configuration of the system at a given time. State spaces are commonly used in fields like control theory, computer science, and physics to analyze and solve problems involving dynamic systems. In a state space, each state is typically represented as a point in a multi-dimensional space, where each dimension corresponds to a variable of the system. This allows for the visualization and exploration of how the system evolves over time, making it easier to understand complex behaviors and interactions within the system.