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DeCaToKi >> en_US > kwrse

kwrse

this function compute the Kronecker- Weistrauss canonical form of a pair rectangular pencil (E, A) and descriptor systems (E, A, B, C).

Calling Sequence

[A1,N,h]=kwrse  (E,A)
[A1,N, h, B1, B2]=kwrse  (E,A,B)
[A1,N,h, B1, B2, C1, C2]=kwrse  (E,A,B,C)

Parameters

E, A:

Pair pencil (E, A), E singular and pair (E, A) rectangular and regular.

B,C:

Descriptor system matrices, B= input matrix and C= output matrix

N, A1, h:

N= nilpotence matrix of index "h", A1 matrix of kronecker-Weistrauss r.s.e

B1, B2:

B1, B2 matrices of kronecker-Weistrauss r.s.e

C1, C2:

C1, C2 matrices of kronecker-Weistrauss r.s.e

Description

Kronecker-Weistrauss restricted system equivalence of pencils and descriptor systems

Examples

// Descriptor system
E=[1 0 0 0; 0 1 0 0; 0 0 0 0; 0 0 0 0];
A=[-0.8775 0 0.526 -0.0274;
    -5.8500  -0.5 0.1481 0.0026; 
    0      0.5   -1     0.2;
    0      2.6522  -0.274  -2];
B=[ 0 0; -0.0856  0.01; 0 0; 0 1];
C=[1 1 0 1; 0 0 1 1;0 0 1 0];

// Compute the Kronecker-Weistrauss r.s.e of (E,A),
// This function use pencan function
 [A1 N,h]=kwrse  (E,A)
// Kronecker-Weistrauss canonical form of hole descriptor system
 [A1,N,h,B1,B2,C1,C2]=kwrse  (E,A,B,C)

See also

Authors

Bibliography

Duan, G.-R. Gao, D. Y. and Ogden, R. W.(2010). Analysis and Desing of Descriptor Linear Systems. Springer, 2010

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