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removed >> removed > 6-1-1 > sysdiag

sysdiag

conexão de sistemas diagonais em blocos

Seqüência de Chamamento

r = sysdiag(a1, a2, ..., an)

Parâmetros

ai

constant, boolean, polynomial or rational matrices of any size.

subsistemas (i.e. ganhos, ou sistema linear em forma de espaço de estados ou de transferência)

r

a matrix with a1, a2, a3, ... on the diagonal

Descrição

Retorna um sistema diagonal em blocos feito de subsistemas postos na diagonal principal.

Given the inputs A, B and C, the output will have these matrices arranged on the diagonal:

[A 0 0 ; 0 B 0 ; 0 0 C]
.

If all the input matrices are square, the output is known as a block diagonal matrix.
Usado em particular para interconexões de sistemas.

For boolean matrices sysdiag() always returns a zero one matrix in the corresponding block ("true" values are replaced by 1 and "false" value by 0).

Exemplos

s = poly(0,'s')
sysdiag(rand(2,2),1/(s+1),[1/(s-1);1/((s-2)*(s-3))])
sysdiag(tf2ss(1/s),1/(s+1),[1/(s-1);1/((s-2)*(s-3))])
// a matrix of doubles:
A = [1 0; 0 1], B=[3 4 5; 6 7 8], C=7
D = sysdiag(A,B,C)
//
sysdiag([%t %f; %f %t], eye(2,2), ones(3,3))

// a polynomial matrix:
s = %s;
sysdiag([s 4*s; 4 s^4], [1 s^2 s+2; 3*s 2 s^2-1])

// a rational matrix:
sysdiag([1/s 2*s/(4*s+3)], [s; 4; 1/(s^2+2*s+1)])
// a block diagonal sparse matrix:
S = sysdiag([1 2; 3 4], [5 6; 7 8], [9 10; 11 12], [13 14; 15 16])
S = sparse(S)

Ver Também

Histórico

VersionDescription
6.1.0 sysdiag() is declared obsolete. blockdiag() replaces it.
6.1.1 sysdiag() will be removed in the next Scilab version.

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