A control algorithm is a mathematical-logical action specification for the work of a controller. Control algorithms are a logical sequence of individual, defined execution steps. A control algorithm can be integrated into the program of a computer for concrete application. To execute a task, a specific input is then assigned a specific output. A mathematical definition of the term also reads: “A computation rule for the solution of a problem is called algorithm, if an equivalent Turing machine exists to this computation rule, which stops for each input, which has a solution.” A Turing machine — introduced in 1936/36 by British mathematician Alan Turing — is a mathematical model in theoretical computer science that abstracts a machine. In this model, character-based manipulations are executed according to fixed rules.
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