The Ulam Problem of Optimal Motion of Line Segments |
Contents
5 Operation of Parallel Displacement of Vectors | 5 |
Surfaces and Equations 20 of a Stationary | 20 |
OPTIMAL MOTION OF SEGMENTS IN THE nDIMENSIONAL | 29 |
Copyright | |
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A¯¹n approx Berlin Heidelberg Tokyo complete rotation complete sliding component extremal conjugate system const constraints construction continuous function contradicts convex functions cylinder degenerate regime differential equations Dubovitskij Figure fixed endpoints geodesics Heidelberg New York Heidelberg Tokyo ISBN Hence length Let us show Lipschitzian m₁ m₂ maximum principle measurable functions metric MOTION OF SEGMENTS nondegenerate nu(t nu(to optimal control problem optimal motion Optimization Software orthogonal orthogonal transformation orthonormal basis parallel displacement paths swept planar extremals plane points Pontryagin's Maximum Principle position A'B representation rota rotating regime satisfied simple sliding singular extremal sliding regime sliding to position slidings and rotations Springer-Verlag Berlin Heidelberg Springer-Verlag New York stationary set t₁ tangent Theorem tion trajectory Ulam's problem vectors Whence x(to York Berlin Heidelberg York Tokyo ατ ΔΦ ΧΟ Χρ