- ホーム
- > 洋書
- > 英文書
- > Science / Mathematics
Full Description
Variational Calculus, Optimal Control and Applications was the topic of the 12th Baltic Sea conference, traditionally an important meeting place for scientists from Eastern and Western Europe as well as the USA. This work contains contributions presented at that conference and addresses four problem complexes mostly motivated by practical problems. The starting points are often questions taken from flight dynamics. The first chapter deals with existence theory and optimality conditions needed for justification of, and used in, numerical algorithms. Analysis and synthesis of control systems and dynamic programming are presented in the second chapter. A modern interpretation of a solution of the Hamilton-Jacobi-Bellman equation is given. This is closely connected to the question of real-time or feedback control. Recent advances in the field of numerical methods and their applications to flight path optimization and fluid dynamics follow. The reader will find nonlinear programming methods, accelerated multiple shooting, homotopy and SQP methods. A wide variety of applications to mechanical and aerospace systems concludes this work: space flight problems, mobile robot controlling, geometrical extremal problems, fluid transport, fluid waves and human sciences.
Contents
Part 1 Existence theory and optimality conditionsconvexification of optimal control problems of flight dynamics, L. Bittner; restricted optimal transportation flows, R. Klotzler; relaxation gaps in optimal control processes with state constraints, S. Butzek, W.H. Schmidt; optimal shape design for elliptic hemivariational inequalities in non-linear elasticity, Z. Denkowski, S. Migorski; a discretization for control problems with optimality test, U. Felgenhauer; smooth and nonsmooth optimal Lipschitz control -a model problem, M. Goebel; suboptimality theorems in optimal control, A. Hamel. Part 3 Numerical methods and their applications to flight path optimization and fluid dynamics: sensitivity analysis and real-time control of nonlinear optimal control systems via nonlinear programming methods, Ch. Buskens, H. Maurer; accelerating multiple shooting for sate-constrained trajectory optimisation problems, K. Chudej; SDP methods and their applications to numerical optimal control, A. Barclay et al; predictor-corrector continuation method for optimal control problems, E. Grigat, G. Sachs. Part 4 Applications to mechanical and aerospace systems: time invariant global stabilization of a mobile robot, H. Abesser et al; competitive running on a hilly track, E. Andreeva, H. Behncke; convex domains of given diameter with greatest volume, U. Klemt; isoperimetric and isodiametric area-minimal plane convex figures, A. Kripfganz; minimizing the noise of an aircraft during landing approach, B. Kugelmann; real-time computation of strategies of differential games with applications to collision avoidance, R. Lachner et al.
