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# fstabst

Youla's parametrization of continuous time linear dynamical systems

### Syntax

J = fstabst(P,r)

### Arguments

- P
a continuous time linear dynamical system.

- r
1x2 row vector, dimension of

`P22`

- J
a continuous time linear dynamical system (with same representation as

`P`

.

### Description

Parameterization of all stabilizing feedbacks.

`P`

is partitioned as follows:

P=[ P11 P12; P21 P22]

(in state-space or transfer form: automatic conversion in state-space is done for the computations)

`r`

= size of `P22`

subsystem, (2,2) block of `P`

J =[J11 J12; J21 J22]

`K`

is a stabilizing controller for `P`

(i.e. `P22`

) iff
`K=lft(J,r,Q)`

with `Q`

stable.

The central part of `J`

, `J11`

is the lqg regulator for `P`

This `J`

is such that defining `T`

as the 2-port `lft`

of `P`

and `J`

: `[T,rt]=lft(P,r,J,r)`

one has that `T12`

is inner
and `T21`

is co-inner.

### Examples

### See also

### History

Version | Description |

5.4.0 | `Sl` is now checked for
continuous time linear dynamical system. This modification
has been introduced by this commit |

Report an issue | ||

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