Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 95 for “"Optimal Control Problems"”.
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Optimal control problems, curves of pursuit
We study a class of problems known as pursuit-evasion problems (PE). These problems can be understood as special cases of optimal control problems. After describing the two main principles to study optimal control problems, namely Pontryagin's maximum principle and Bellman's method of dynamic …
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Optimal control problems with switching points
… of this thesis is to give an overview of the problems and difficulties that arise in solving optimal control problems with switching points. A brief discussion of existing optimality conditions is given and a numerical approach for solving the multipoint boundary value problems associated with …
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Combined gradient-restoration algorithm for optimal control problems
… It consists of finding the state x(t), the control u(t), and the parameter-rr so that the functional I is minimized, while the constraints and the boundary conditions are satisfied to a predetermined accuracy. A combined gradient-restoration algorithm is developed. This is an iterative …
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On Optimal Control Problems With State-Variable Inequality Constraints
Made available in DSpace on 2014-12-12T20:54:24Z (GMT). No. of bitstreams: 1 7624100.pdf: 2959087 bytes, checksum: 6270bbe09d5c13965cb1425cf38156da (MD5) Previous issue date: 1976
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Some optimal control problems in financial and actuarial mathematics
This thesis encompasses four stochastic control problems in actuarial science and financial mathematics. Chapter 1 provides an overview of the thesis and relevant topics that would be covered in the subsequent chapters. Chapters 2, 3, and 4 are concerned with three individual actuarial problems, …
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Shape Calculus Applied to State-Constrained Elliptic Optimal Control Problems
… of a very simple, pointwisely state-constrained optimal control problem of an elliptic partial differential equation. The transfer of an idea from the field of optimal control of ordinary differential equations, which proved fruitful with respect to both theoretical treatment and design of …
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Memory efficient approaches of second order for optimal control problems
Consider a time-dependent optimal control problem, where the state evolution is described by an initial value problem. There are a variety of numerical methods to solve these problems. The so-called indirect approach is considered detailed in this thesis. The indirect methods solve decoupled …
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Optimal Control Problems Governed by Nonlinear Partial Differential Equations and Inclusions
… this thesis lies on examining the solvability of optimal control problems constrained by nonlinear partial differential equations (PDE) and inclusions (PDI). There exist statements on the existence of solutions for optimal control problems with linear and semi-linear PDEs with monotone parts. The …
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Numerical Methods for Optimal Control Problems with Application to Autonomous Vehicles
In the present PhD thesis an optimal problem suite is proposed as benchmark for the test of numerical solvers. The problems are divided in four categories, classic, singular, constrained and hard problems. Apart from the hard problems, where it is not possible to give the analytical solution but …
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A Parallel-In-Time Gradient-Type Method For Optimal Control Problems
… gradient-type method for time-dependent optimal control problems. When the classical gradient method is applied to time-dependent optimal control problems, each iteration requires the forward solution of the state equations followed by the backward solution of the adjoint equations before …
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Dynamic Programming Algorithms for Optimal Control Problems in Hybrid Electric Vehicles
L'abstract è presente nell'allegato / the abstract is in the attachment
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Technology for the Solution of Hybrid Optimal Control Problems in Astronautics
"Many interesting problems in spacecraft mission design are hybrid optimal control problems (HOCP) however there are only a small number of successful solutions of such problems in the literature because the problems are so challenging. The difficulty stems partly from the size of the problems and …
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Optimal control problems on lie groups with symmetry breaking cost functions
In this thesis, we consider smooth optimal control systems that evolve on Lie groups. Pontryagin's maximum principle allows us to search for local solutions of the optimal control problem by studying an associated Hamiltonian dynamical system. When the associated Hamiltonian function possess …
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Advancement and analysis of Gauss pseudospectral transcription for optimal control problems
As optimal control problems become increasingly complex, innovative numerical methods are needed to solve them. Direct transcription methods, and in particular, methods involving orthogonal collocation have become quite popular in several field areas due to their high accuracy in approximating …
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Preconditioning of Karush--Kuhn--Tucker Systems arising in Optimal Control Problems
… the numerical solution of quadratic programming problems, for example in the form of Karush--Kuhn--Tucker (KKT) optimality conditions or in interior--point methods. Therefore, the system matrix is referred to as a KKT matrix. It is not the purpose of this thesis to investigate systems arising …
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Application of cubic B-splines to boundary value and optimal control problems
… solving N-dimensional two-point boundary value problems. In the final part of the thesis, certain control problems will be converted into boundary value problems, which in turn, will be approximated by the previous variational method which uses cubic B-splines.
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ADMM Based Methods for Time-Domain Decomposition Formulations of Optimal Control Problems
… equation (PDE)-constrained optimization problems. The solution of such optimization problems is computing time and memory intensive. TDD formulations split the time-dependent PDE into coupled subdomain equations and introduce potential for parallelism and global memory reduction. This …
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Stabilized finite element solution of optimal control problems in computational fluid dynamics
This thesis discusses the solution of optimal flow control problems, with an emphasis on solving optimal design problems involving blood as the fluid. The discretization of the governing equations of fluid flow is accomplished using stabilized finite element formulations. Although frequently and …
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