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reolizations
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There are 12 letters in REOLIZATIONS ( A1E1I1L1N1O1R1S1T1Z10 )
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In systems theory, a realization of a state space model is an implementation of a given input-output behavior. That is, given an input-output relationship, a realization is a quadruple of (time-varying) matrices * * * * [ * A * ( * t * ) * , * B * ( * t * ) * , * C * ( * t * ) * , * D * ( * t * ) * ] * * * {\displaystyle [A(t),B(t),C(t),D(t)]} * such that * * * * * * * * x * * ˙ * * * * ( * t * ) * = * A * ( * t * ) * * x * * ( * t * ) * + * B * ( * t * ) * * u * * ( * t * ) * * * {\displaystyle {\dot {\mathbf {x} }}(t)=A(t)\mathbf {x} (t)+B(t)\mathbf {u} (t)} * * * * * * y * * ( * t * ) * = * C * ( * t * ) * * x * * ( * t * ) * + * D * ( * t * ) * * u * * ( * t * ) * * * {\displaystyle \mathbf {y} (t)=C(t)\mathbf {x} (t)+D(t)\mathbf {u} (t)} * with * * * * ( * u * ( * t * ) * , * y * ( * t * ) * ) * * * {\displaystyle (u(t),y(t))} * describing the input and output of the system at time * * * * t * * * {\displaystyle t} * . |