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ss2des

(polynomial) state-space to descriptor form

Syntax

S = ss2des(Sl)
S = ss2des(Sl, flag)

Arguments

Sl

syslin list: proper or improper linear system.

flag

character string "withD"

S

list

Description

Given the linear system in state-space representation Sl (syslin list), with a D matrix which is either polynomial or constant, but not zero ss2des returns a descriptor system as list('des',A,B,C,0,E) such that:

Sl=C*(s*E-A)^(-1)*B

If the flag "withD" is given, S=list('des',A,B,C,D,E) with a D matrix of maximal rank.

Examples

s=poly(0,'s');
G=[1/(s+1),s;1+s^2,3*s^3];Sl=tf2ss(G);
S=ss2des(Sl)
S1=ss2des(Sl,"withD")
Des=des2ss(S);Des(5)=clean(Des(5))
Des1=des2ss(S1)

See also


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