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State space analysis is a mathematical framework used in control systems to model, analyze, and design dynamic systems. In this approach, a system is described by a set of first-order differential equations known as state equations, which represent the evolution of the system’s internal state variables over time. These state variables encapsulate all relevant information about the system’s behavior, allowing for a comprehensive understanding of its dynamics.
Additionally, the system’s input-output behavior is described by a separate set of equations, known as output equations, which relate the system’s output to its internal state variables and inputs. State space analysis provides a powerful method for analyzing system behavior, stability, controllability, and observability, making it a fundamental tool in modern control theory and engineering practice.
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