Table 1: Number of parameters needed for control specification.

Number of control surfaces

N = 1

2

3

4

5

6

7

Polynomial of degree M = 2

Q0(N) - all surfaces decoupled: (23)

18

36

54

72

90

108

126

Q4(N,2) - only neighboring surfaces coupled: (31a)

12

72

132

192

252

312

372

Q2(N) - all surfaces coupled: (25)

18

72

180

360

630

1008

1512

Polynomial of degree

M = 3

Q3(N, 3) - all surfaces decoupled: (24)

24

48

72

96

120

144

168

Q2(N, 3) - only neighboring surfaces coupled: (31b)

24

120

240

360

480

600

720

Q4 (N,3) - all surfaces coupled: (27)

24

168

360

840

1680

3024

5040