# State Variable

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A State Variable is a random variable that represents a point in a state space.

## References

### 2011

• http://en.wikipedia.org/wiki/State_variable
• A state variable is one of the set of variables that describe the “state” of a dynamical system. Intuitively, the state of a system describes enough about the system to determine its future behaviour. Models that consist of coupled first-order differential equations are said to be in state-variable form.

• http://en.wikipedia.org/wiki/State_%28computer_science%29
• In computer science and automata theory, a state is a unique configuration of information in a program or machine. It is a concept that occasionally extends into some forms of systems programming such as lexers and parsers. Whether the automaton in question is a finite state machine, a pushdown automaton or a full-fledged Turing machine, a state is a particular set of instructions that will be executed in response to the machine's input. The state can be thought of as analogous to a practical computer's main memory. The behavior of the system is a function of
• the definition of the automaton,
• the input, and
• the current state.
• Following states are distinguished:
• Compatible states are states in a state machine that do not conflict for any input values. Thus for every input, both states must have the same output, and both states must have the same successor (or unspecified successors), or both must not change. Compatible states are redundant, if occurring in the same state machine.
• Distinguishable states are states in a state machine that have at least one input sequence causing different output sequences - no matter which state is the initial state.
• Equivalent states are states in a state machine which, for every possible input sequence, the same output sequence will be produced - no matter which state is the initial state.
• In information processing, a state is the complete set of properties (for example, its energy level, etc. see state (physics)) transmitted by an object to a observer via one or more channels. Any change in the nature or quantity of such properties in a state is detected by an observer and thus a transmission of information occurs.

An information system or protocol that relies upon state is said to be stateful. One that does not is said to be stateless. For example, there are stateless firewalls and stateless servers, and HTTP is considered a stateless protocol. A character encoding such as ISO 2022 is said to be stateful, if the interpretation of a particular code value depends on the code values that came before it.