The Ulam Problem of Optimal Motion of Line Segments |
Contents
SYNTHESIS OF OPTIMAL MOTIONS OF SEGMENTS | 73 |
2 Optimal Motion of Segments in the Space | 81 |
Appendix THE MAXIMUM PRINCIPLE IN OPTIMAL CONTROL | 105 |
Copyright | |
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Berlin Heidelberg Tokyo boundary complete rotation complete sliding component extremal conjugate system const constraints construction continuous function contradicts convex functions cylinder degenerate regime differential equations Dubovitskij F₁ Figure fixed endpoints geodesics Heidelberg New York Heidelberg Tokyo ISBN Hence Inul length Let us show Lipschitzian local maximum m₁ m₂ maximum principle measurable functions metric MOTION OF SEGMENTS nondegenerate nu(to optimal control optimal control problem optimal motion Optimization Software orthogonal orthonormal basis parallel displacement paths swept plane points position A'B representation rota Rotating Regime rotations about fixed satisfied simple sliding singular extremal sliding regime sliding to position slidings and rotations Springer-Verlag Berlin Heidelberg Springer-Verlag New York standard regimes stationary set t₁ tangent Theorem tion trajectory ULAM Ulam's problem vectors Whence x(to York Berlin Heidelberg York Tokyo ατ ΔΦ Χο Уо