This page intentionally left blank

Appendix B

Some Computation Results

1. Results for Program A

um: the optimal time intervals.

f: the result of the objective funtion

g: the result of the constraints

s: optimal switching times

xm: the values of the state variable

project1 1(2) um =

0.1271 0.8729

f =

0.0627

-4.5940e-11 xm =

0.1271 0.1271

project1 1(4) um =

0.0299 0.4868 0.2912 0.1921

f =

0.0291

-7.8249e-13 xm =

0.0299 0.0299 0.3211 0.3211

project1 1(6)

um =

0.0154 0.3612 0.1226 0.1763 0.2135 0.1111

0.0184

-3.4402e-11 xm =

0.0154

0.0154 0.1380

0.1380

0.3515 0.3515

project1 1(8)

um =

0.0108

0.3063

0.0801

0.1569 0.1200 0.0971 0.1539 0.0749

f =

0.0134

-7.3581e-12 xm =

0.0108 0.0108 0.0908

0.0908

0.2109

0.2109 0.3647 0.3647