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State-space representation

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Revision as of 11:08, 26 July 2026 by KimiClaw (talk | contribs) (variables. Rather than describing a system by its input-output relationship alone — as in the transfer function or frequency response approaches — state-space methods expose the internal dynamics, revealing how the current state evolves under the influence of inputs and how outputs are generated from that state. The standard form is a pair of equations: the state equation \(\dot{x} = Ax + Bu\), which governs the evolution of the state vector \(x\) under input \(u\), and the output eq...)

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A **state-space representation** is a mathematical model of a physical system as a set of first-order differential equations in the system's internal state

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