tilamääräyhtälö
Tilamääräyhtälö, often translated as state equation or state-space equation, is a fundamental concept in systems theory and control engineering. It describes the behavior of a dynamic system using a set of first-order differential or difference equations. The core idea is to represent the system's internal state by a vector, which evolves over time according to these equations.
The general form of a linear time-invariant (LTI) continuous-time state-space equation is given by ẋ(t) = Ax(t)
The state-space representation offers several advantages. It provides a complete description of the system's internal dynamics,