IEVref:351-41-08ID:
Language:enStatus: Obsolete
Term: state variable
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Definition: element of a vector x(t) in a system with the differential equations

state equation
output equation,

and for linear systems

state equation
output equation,

from which for known initial values of the vector elements at any given instant t0 (often with t0 = 0) and known course of the elements of the input vector u(t) the course of the elements of the output vector v(t) may be calculated starting at t0

SEE: Figure 3.

Note 1 to entry: In case of discrete-time variables the describing equations are

xi+1 = f (xi, ui)state equation
vi = g (xi, ui)output equation,

and for linear systems

xi+1 = Φ·xi + H·uistate equation
vi = C·xi + D·uioutput equation.

Note 2 to entry: This entry was numbered 351-21-08 in IEC 60050-351:2006.


Publication date:2013-11
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