Titlebook: Variational Calculus, Optimal Control and Applications; International Confer Werner H. Schmidt,Knut Heier,Roland Bulirsch Conference procee

ORBIT

On the Convexification of Optimal Control Problems of Flight Dynamicsm with the aid of a least number of additional control parameters are presented. The usefulness of the relaxed problems for proving the existence of optimal solutions and calculating approximately optimal solutions is explained in detail.

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Relaxation Gaps in Optimal Control Processes with State Constraintsin-Fillipov; unfortunately, the assumptions in this theorem are rather strong. Sometimes one can prove existence in absence of convexity by studying “bigger” problems obtained by relaxation, that means by convexification of the sets of speed vectors. Then we try to choose a special optimal solution

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Smooth and Nonsmooth Optimal Lipschitz Control — a Model Problemem is realized via the outer function of the nonlinear term in the state equation. We prove a simple theorem stating the existence of optimal controls within the class of Lipschitz continuous functions and derive two necessary optimality conditions depending on their smoothness properties. For a smo

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Suboptimality Theorems in Optimal Controlin a general framework which excludes the possibility of empty (even false) assertions all the more as the assumptions for existence results are much stronger than those for necessary optimality conditions. We call such a framework . and exemplify it by a simple problem of optimal control. Furthermo

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Existence Results for Some Nonconvex Optimization Problems Governed by Nonlinear Processeswith respect to the state, the solution may exist. Using the Balder’s technique based on a Young-measure relaxation, Bauer’s extremal principle and investigation of extreme Young measures, the existence is demonstrated here for the case of nonlinear ordinary and partial differential equations.

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Output Target Control and Uncertain Infinite-Dimensional Systemscertainty in the system description is modelled by an unknown bounded perturbation of the system operator. We present an approach to computing estimates for the deviation of the terminal output of the perturbed system from the terminal output of the unperturbed system. This approach involves differe

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Algorithm of Real-Time Minimization of Control Norm for Incompletely Determined Linear Control Systeical control method for such system is using the control of feedback type. In the first papers on optimal control synthesis, it was supposed that the current system state is known exactly at every current moment. In this case, the optimal feedback with respect to the system state was constructed. La

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