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dtsi

Continuous time dynamical systems stable anti-stable decomposition

Syntax

[Ga, Gs, Gi] = dtsi(G)
[Ga, Gs, Gi] = dtsi(G, tol)

Arguments

G

a continuous time linear system.

Ga

a continuous time linear system antistable and strictly proper.

Gs

a continuous time linear system stable and strictly proper.

Gi

real matrix (or polynomial matrix for improper systems)

tol

optional parameter for detecting stables poles. Default value: 100*%eps

Description

returns the stable-antistable decomposition of G:

G= Ga + Gs + Gi, (Gi = G(oo))

G can be given in state-space form or in transfer form.

Ga and Gs are returned in the same representation (transfer function or state-space) than G.

See also

  • syslin — linear system definition
  • pbig — eigen-projection
  • psmall — spectral projection
  • pfss — partial fraction decomposition

Examples

a=0.5;
b=1;
c=2;
sl=syslin('c',a,b,c);
dtsi(sl)

History

VersionDescription
5.4.0 Sl is now checked for continuous time linear dynamical system. This modification has been introduced by this commit
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Last updated:
Mon Jun 17 17:49:16 CEST 2024