determine controllability of a state-space system
Controllable( sys, opts )
System(ss); system object to test
(optional) equation(s) of the form option = value; specify options for the Controllable command
method = staircase or rank
Selects the method used for testing controllability. The default is staircase.
The Controllable command determines whether sys, a state-space system, is controllable.
If sys is controllable, true is returned, otherwise false is returned.
Two methods, selected by the method option, are available for determining controllability.
The staircase method applies the controllable staircase transform to the A and B Matrices of sys. If the state matrix of the resulting controllable subsystem has the same dimension as A, the system is controllable, otherwise it is uncontrollable.
The rank method constructs the controllability matrix of sys system using the DynamicSystems[ControllabilityMatrix] command. If the matrix has full rank, the system is controllable, otherwise, it is uncontrollable.
An error occurs if sys is not a state-space system.
aSys ≔ StateSpace⁡1,2|3,4,2,3,1,0|0,1,0,0:
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