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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.
The state-transition matrix is used to find the solution to a general state-space representation of a linear system in the following form ˙ = () + (), =, where () are the states of the system, () is the input signal, () and () are matrix functions, and is the initial condition at .
Now if the machine is in the state S 1 and receives an input of 0 (first column), the machine will transition to the state S 2. In the state diagram, the former is denoted by the arrow looping from S 1 to S 1 labeled with a 1, and the latter is denoted by the arrow from S 1 to S 2 labeled with a 0.
State diagram for a turnstile A turnstile. An example of a simple mechanism that can be modeled by a state machine is a turnstile. [4] [5] A turnstile, used to control access to subways and amusement park rides, is a gate with three rotating arms at waist height, one across the entryway.
A labelled transition system is a tuple (,,) where is a set of states, is a set of labels, and , the labelled transition relation, is a subset of . We say that there is a transition from state p {\displaystyle p} to state q {\displaystyle q} with label α {\displaystyle \alpha } iff ( p , α , q ) ∈ T {\displaystyle (p,\alpha ,q)\in T} and ...
The various process states, displayed in a state diagram, with arrows indicating possible transitions between states - as can be seen some processes are stored in main memory (yellow), and some are stored in secondary memory (green).
The state diagram for a Mealy machine associates an output value with each transition edge, in contrast to the state diagram for a Moore machine, which associates an output value with each state. When the input and output alphabet are both Σ , one can also associate to a Mealy automata a Helix directed graph [ clarification needed ] ( S × Σ ...
Figure 7: State roles in a state transition. In UML, a state transition can directly connect any two states. These two states, which may be composite, are designated as the main source and the main target of a transition. Figure 7 shows a simple transition example and explains the state roles in that transition.