dtsi

Continuous time dynamical systems stable anti-stable decomposition

Calling Sequence

[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

History

Version Description 5.4.0 Sl is now checked for continuous time linear dynamical system. This modification has been introduced by this `commit`_ .. _pbig: pbig.html .. _syslin: syslin.html .. _pfss: pfss.html .. _commit: http://gitweb.scilab.org/?p=scilab.git;a=commit;h=3d7083daae3339813ba747c8adcda1f9599bb80d .. _psmall: psmall.html