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English: Block diagram showing how the matrices of the state space representation are combined to give the state and output vectors when a feedback is performed. Date December 2004
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The state space or phase space is the geometric space in which the axes are the state variables. The system state can be represented as a vector , the state vector . If the dynamical system is linear, time-invariant, and finite-dimensional, then the differential and algebraic equations may be written in matrix form.
If the size of the state space is finite, calculating the size of the state space is a combinatorial problem. [4] For example, in the Eight queens puzzle, the state space can be calculated by counting all possible ways to place 8 pieces on an 8x8 chessboard. This is the same as choosing 8 positions without replacement from a set of 64, or
State variables can be redundant (dependent); a state-space model with the number of state variables is a minimal realization, which is a special (yet important) case. One should define "realization" first, noting that it isn't unique (see some of my previous contributions).
State diagram for a Mealy machine. Date: 27 February 2007: Source: Own work, derived from Mealymachine_jaredwf.png. Author: Jake Choules: Other versions: Derivative works of this file: CPT-FSM-Mealy-01.svg. Mealymachine_jaredwf.png
This page was last edited on 1 December 2014, at 18:50 (UTC).; Text is available under the Creative Commons Attribution-ShareAlike 4.0 License; additional terms may apply.
A state diagram for a door that can only be opened and closed. A state diagram is used in computer science and related fields to describe the behavior of systems. State diagrams require that the system is composed of a finite number of states. Sometimes, this is indeed the case, while at other times this is a reasonable abstraction.