In control theory, the

**state**-transition**matrix**is a**matrix**whose product with the**state**vector at an initial time gives at a later time . The**state**-transition**matrix**can be used to obtain the general solution of linear dynamical systems.What is state and state variable?

A

**state variable**is one of the set of**variables**that are used to describe the mathematical "**state**" of a dynamical system. Intuitively, the**state**of a system describes enough about the system to determine its future behaviour in the absence of any external forces affecting the system.What is a state space in artificial intelligence?

**State space**search is a process used in the field of computer science, including

**artificial intelligence**(

**AI**), in which successive configurations or states of an instance are considered, with the intention of finding a goal

**state**with a desired property.