OutputControllableModelQ

✖
`OutputControllableModelQ`

✖

OutputControllableModelQ[ssm]

gives True if the state-space model ssm is output controllable, and False otherwise.

Details and Options

The StateSpaceModel ssm is said to be completely output controllable if, for any initial time and any initial state, there exists some control input that drives the output to any desired final value in finite time.
The model ssm can either be a standard or descriptor StateSpaceModel.

Examples

open allclose all

Basic Examples (2)Summary of the most common use cases

An output-controllable system:

In[1]:=1

✖

https://wolfram.com/xid/0bsxs1jwjdssnuwxab-6jeu3d

Out[1]=1

A system that is not output-controllable:

In[1]:=1

✖

https://wolfram.com/xid/0bsxs1jwjdssnuwxab-hbgi8j

Out[1]=1

Scope (4)Survey of the scope of standard use cases

Test if a continuous-time system is output-controllable:

In[1]:=1

✖

https://wolfram.com/xid/0bsxs1jwjdssnuwxab-rlxhk6

Out[1]=1

Test if a discrete-time system is output-controllable:

In[1]:=1

✖

https://wolfram.com/xid/0bsxs1jwjdssnuwxab-mib54p

Out[1]=1

A system that is not output-controllable:

In[1]:=1

✖

https://wolfram.com/xid/0bsxs1jwjdssnuwxab-mxe4hb

Out[1]=1

An output-controllable descriptor system:

In[1]:=1

✖

https://wolfram.com/xid/0bsxs1jwjdssnuwxab-t7jww0

Out[1]=1

Properties & Relations (1)Properties of the function, and connections to other functions

Controllability and output-controllability are not correlated:

In[1]:=1

✖

https://wolfram.com/xid/0bsxs1jwjdssnuwxab-ecx9jj

Out[2]=2

Top