zeropen

Arguments

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

Description

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.

See also

• systmat — system matrix
• kroneck — Kronecker form of matrix pencil