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Set-Valued Numerical Analysis and Optimal Control
Robert Baier,Matthias Gerdts +1 more
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The article was published on 2005-01-01 and is currently open access. It has received 4 citations till now. The article focuses on the topics: Optimal control & Set (abstract data type).read more
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Journal ArticleDOI
Introduction to Matrix Analysis. By Richard Bellman. 2nd Edition. Pp. xxiii, 403. £7·50. (McGraw-Hill.)
TL;DR: This book discusses Maximization, Minimization, and Motivation, which is concerned with the optimization of Symmetric Matrices, and its applications in Programming and Mathematical Economics.
Journal ArticleDOI
Differential Hybrid Games
TL;DR: This article augments differential game logic with modalities for the combined dynamics of differential hybrid games and introduces differential game invariants and differential game variants for proving properties of differential games inductively.
Journal ArticleDOI
A dual extremum principle in thermodynamics
Alexander Mitsos,Paul I. Barton +1 more
TL;DR: In this paper, a reinterpretation of the Gibbs tangent plane stability criterion via Lagrangian duality is proposed for phase equilibria of multicomponent mixtures and case studies are presented based on the NRTL and UNIQUAC activity coefficient model.
Proceedings ArticleDOI
Multiple aircraft deconflicted path planning with weather avoidance constraints
TL;DR: A nonlinear model predictive control based algorithm is presented for aircraft motion planning that will apply to converging flows of aircraft going through convective weather in the en route airspace, resulting in a set of locally optimal trajectories for the aircraft considered.
References
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Book
Numerical Optimization
Jorge Nocedal,Stephen J. Wright +1 more
TL;DR: Numerical Optimization presents a comprehensive and up-to-date description of the most effective methods in continuous optimization, responding to the growing interest in optimization in engineering, science, and business by focusing on the methods that are best suited to practical problems.
Book
Dynamic Programming
TL;DR: The more the authors study the information processing aspects of the mind, the more perplexed and impressed they become, and it will be a very long time before they understand these processes sufficiently to reproduce them.
Book
A practical guide to splines
TL;DR: This book presents those parts of the theory which are especially useful in calculations and stresses the representation of splines as linear combinations of B-splines as well as specific approximation methods, interpolation, smoothing and least-squares approximation, the solution of an ordinary differential equation by collocation, curve fitting, and surface fitting.
Book
Optimization and nonsmooth analysis
TL;DR: The Calculus of Variations as discussed by the authors is a generalization of the calculus of variations, which is used in many aspects of analysis, such as generalized gradient descent and optimal control.
Book
Introduction to Numerical Analysis
Josef Stoer,Roland Bulirsch +1 more
TL;DR: This well written book is enlarged by the following topics: B-splines and their computation, elimination methods for large sparse systems of linear equations, Lanczos algorithm for eigenvalue problems, implicit shift techniques for theLR and QR algorithm, implicit differential equations, differential algebraic systems, new methods for stiff differential equations and preconditioning techniques.