Theory and Modern Applications
Set | Non-optimal control | Optimal control |
---|---|---|
1 | T = 8, \(b_{2}=0.6\), \(\varepsilon_{0}=0.1 \) | \(T^{*}=6.5499\), \(b_{2}^{*}=0.6214\), \(\varepsilon^{*}=4.521e{-}5\) |
\(e_{1}=0.8\), \(e_{2}=0.9 \) | \(e_{1}^{*}=0.1613\), \(e_{2}^{*}=0.4572\) | |
\(J_{1}=69.4267\), H = 0.7347 | \(J^{*}=1.36176\), \(H^{*}=0.6632\) | |
2 | T = 7, \(b_{2}=0.55\), \(\varepsilon_{0}=0.1 \) | \(T^{*}=6.1392\), \(b_{2}^{*}=0.6345\), \(\varepsilon^{*}=1.61e{-}6\) |
\(e_{1}=0.7\), \(e_{2}=0.6 \) | \(e_{1}^{*}=0.1703\), \(e_{2}^{*}=0.4371\) | |
\(J_{1}=53.4043\), H = 0.7005 | \(J^{*}=0.7111\), \(H^{*}=0.6396\) | |
3 | T = 6, \(b_{2}=0.5\), \(\varepsilon_{0}=0.1 \) | \(T^{*}=5.9094\), \(b_{2}^{*}=0.5386\), \(\varepsilon^{*}=0.441e{-}7\) |
\(e_{1}=0.2\), \(e_{2}=0.4 \) | \(e_{1}^{*}=0.1553\), \(e_{2}^{*}=0.4422\) | |
\(J_{1}=32.5521\), H = 0.6578 | \(J^{*}=0.6984\), \(H^{*}=0.6454\) |