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Function Reference: isctrb

Function File: [bool, ncon] = isctrb (sys)
Function File: [bool, ncon] = isctrb (sys, tol)
Function File: [bool, ncon] = isctrb (a, b)
Function File: [bool, ncon] = isctrb (a, b, e)
Function File: [bool, ncon] = isctrb (a, b, [], tol)
Function File: [bool, ncon] = isctrb (a, b, e, tol)

Logical check for system controllability. For numerical reasons, isctrb (sys) should be used instead of rank (ctrb (sys)).

Inputs

sys
LTI model. Descriptor state-space models are possible. If sys is not a state-space model, it is converted to a minimal state-space realization, so beware of pole-zero cancellations which may lead to wrong results!
a
State matrix (n-by-n).
b
Input matrix (n-by-m).
e
Descriptor matrix (n-by-n). If e is empty [] or not specified, an identity matrix is assumed.
tol
Optional roundoff parameter. Default value is 0.

Outputs

bool = 0
System is not controllable.
bool = 1
System is controllable.
ncon
Number of controllable states.

Algorithm
Uses SLICOT AB01OD and TG01HD, Copyright (c) 1996-2025, SLICOT, available under the BSD 3-Clause (License and Disclaimer).

See also: isobsv

Source Code: isctrb