Theory and Modern Applications
d | α | \(J^{*}(\mathfrak{X},\mathfrak{U})\) with control | \(E(T_{f})+I(T_{f})\) | \(J^{*}(\mathfrak{X},\mathfrak{U})\) without control (i.e., \(u_{1}=u_{2}=0\)) |
---|---|---|---|---|
0 | 1 | 43,256 | 389.4656 | 68,650 |
0.98 | 37,592 | 329.6513 | 59,318 | |
0.90 | 21,107 | 165.8036 | 32,751 | |
0.80 | 9867.9 | 66.7680 | 15,225 | |
0.70 | 4376.3 | 24.9857 | 6859.5 | |
1 | 1 | 44,507 | 403.6675 | 68,771 |
0.98 | 38,732 | 341.7494 | 59,450 | |
0.90 | 21,901 | 172.1452 | 32,911 | |
0.80 | 10,397 | 69.6851 | 15,401 | |
0.70 | 4759.8 | 26.4368 | 7042.2 | |
3 | 1 | 47,716 | 437.1639 | 69,281 |
0.98 | 41,612 | 370.0171 | 59,951 | |
0.90 | 23,752 | 186.2351 | 33,360 | |
0.80 | 11,465 | 75.5492 | 15,767 | |
0.70 | 5390.6 | 28.9362 | 7320.8 | |
5 | 1 | 52,063 | 478.2057 | 70,195 |
0.98 | 45,446 | 404.2531 | 60,795 | |
0.90 | 26,022 | 202.3538 | 33,950 | |
0.80 | 12,616 | 81.6707 | 16,120 | |
0.70 | 5981.6 | 31.2947 | 7517.1 | |
7 | 1 | 56,867 | 522.7261 | 71,011 |
0.98 | 49,617 | 440.9938 | 61,304 | |
0.90 | 28,350 | 218.8961 | 34,564 | |
0.80 | 13,721 | 87.6141 | 16,123 | |
0.70 | 6521.5 | 33.4921 | 8195.7 |