Scilab Reference Manual |
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zeropen — zero pencil
[Z,U]=zeropen(Sl)
Sl | : a linear system (syslin list in state-space form [A,B,C,D]) |
Z | : matrix pencil Z=s*E-A |
U | : square orthogonal matrix |
Z = sE - F is the zero pencil of the linear system Sl with matrices [A,B,C,D]. Utility function.
With U row compression of [B;D] i.e, U*[B;D]=[0;*]; one has:
U*[-sI+A |B; [ Z |0; C |D] = [ * |*]
The zeros of Z are the zeros of Sl.
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