tilanyhtälöissä
Tilanyhtälöissä, known in English as state equations, are mathematical expressions that describe the behavior of a dynamical system. They are fundamental in control theory and system analysis, allowing engineers and scientists to model and predict how a system will evolve over time. A typical state-space representation consists of two main equations: the state equation and the output equation.
The state equation, usually written as $\dot{x}(t) = Ax(t) + Bu(t)$, defines how the system's internal state variables
The output equation, typically expressed as $y(t) = Cx(t) + Du(t)$, describes how the observable outputs of the
State-space representations are powerful because they can handle multi-input, multi-output (MIMO) systems and are well-suited for