tilanyhtälöihin
Tilanyhtälöihin, known in English as state equations or state-space equations, are a mathematical representation used in control theory and systems engineering to describe the behavior of dynamic systems. These equations express the internal state of a system as a first-order derivative of a vector of state variables, with respect to time, and are dependent on the current state and any external inputs. They provide a comprehensive way to model systems that change over time, such as mechanical systems, electrical circuits, and chemical processes.
A typical state-space representation consists of two main equations. The first is the state equation, which
This formulation is particularly powerful because it can represent linear and nonlinear systems, time-invariant and time-varying