||u||2 = 1
|
(A, I, R*)
|
I
|
R*
|
---|
Sine
|
0.472
|
0.472
|
0.0195
|
Sine w. exp. mult.
|
0.475
|
0.474
|
0.0209
|
Cosine or (10)
|
0.473
|
0.472
|
0.0200
|
Square wave
|
0.451
|
0.450
|
0.0182
|
Sinc
|
0.412
|
0.412
|
0.0153
|
Constant
|
0.198
|
0.197
|
0.0070
|
||
u
||
2
= 0.01
|
(
A
,
I
,
R
*)
|
I
|
R
*
|
Sine
|
0.476
|
0.481
|
0.0203
|
Sine w. exp. mult.
|
0.467
|
0.467
|
0.0195
|
Cosine or (10)
|
0.457
|
0.456
|
0.0191
|
Square wave
|
0.441
|
0.441
|
0.0184
|
Sinc
|
0.396
|
0.396
|
0.0173
|
Constant
|
0.198
|
0.198
|
0.0085
|
- Numerical estimates of max
u
||y1 - y2||2/||u||2 with different inputs for the Dictyostelium models by simulating the nonlinear system. Here maximization is over different frequencies for inputs where frequency makes sense. Output is either all states or I or R*.