T.S.
|
Requirements |
- f
;
g
;
h may be non-linear with any dependency on u
|
|
|
- x
;
y
;
f
;
g
;
h allow for infinite derivatives w.r.t. time/states |
|
Advantages |
- conceptually simple |
|
|
- enhanced performance with identifiability tableaus
|
|
Disadvantages |
- unknown number of required derivatives |
|
|
- computationally demanding for low number of observable or when the initial conditions are not informative |
G.S.
|
Requirements |
- f
;
g
;
h may be non-linear but linear dependency on u
|
|
|
- x
;
y
;
f
;
g
;
h allow for infinite derivatives w.r.t. time/states |
|
Advantages |
- conceptually simple |
|
|
- simpler algebra and less computational cost than T.S. |
|
|
- enhanced performance with identifiability tableaus
|
|
|
- software available (GenSSI) |
|
Disadvantages |
- unknown number of required derivatives |
|
|
- computationally demanding for low number of observables or when the initial conditions are not informative |
S.T.
|
Requirements |
- linear dependence on u that must be bounded and measured |
|
|
- controllability and observability conditions |
|
Advantages |
- software available for part of the analysis |
|
Disadvantages |
- results in a complicated set of partial differential equations |
|
|
- computationally demanding |
D.T.
|
Requirements |
- uncontrolled systems |
|
Advantages |
- conceptually simple |
|
Disadvantages |
- requires complicated algebraic manipulations |
|
|
- computationally demanding |
D.A.
|
Requirements |
- f
;
g
;
h polynomial or rational and u differentiable |
|
|
- generic controllability |
|
Advantages |
- software available (DAISY) |
|
|
- conclusive non-identifiability |
|
Disadvantages |
- rational models are to be reduced to polynomial form |
|
|
- computationally demanding |
|
|
- limited performance when the number of observables is low |
I.F.T.
|
Requirements |
- f
;
g
;
h non-linear, differentiable and u differentiable |
|
Advantages |
- characteristic set may be obtained with existing software |
|
Disadvantages |
- complicated identifiability matrix |
|
|
- limited performance when the number of observables is low |
I.D.R.N.
|
Requirements |
- chemical reaction networks |
|
|
- combined with other methods |
|
Advantages |
- analysis by groups of reaction rates |
|
|
- computationally simple |
|
|
- efficiency in combination with generating series (G.A.) |
|
Disadvantages |
- only suitable for chemical reaction networks |
|
|
- reaction rates needed for identifiability analysis |