scispace - formally typeset
Journal ArticleDOI

Survey of Numerical Methods for Trajectory Optimization

John T. Betts
- 01 Mar 1998 - 
- Vol. 21, Iss: 2, pp 193-207
About: 
This article is published in Journal of Guidance Control and Dynamics.The article was published on 1998-03-01. It has received 2491 citations till now. The article focuses on the topics: Direct multiple shooting method & Sequential quadratic programming.

read more

Citations
More filters
MonographDOI

Planning Algorithms: Introductory Material

Steven M. LaValle
TL;DR: This coherent and comprehensive book unifies material from several sources, including robotics, control theory, artificial intelligence, and algorithms, into planning under differential constraints that arise when automating the motions of virtually any mechanical system.
Book

Principles of Robot Motion: Theory, Algorithms, and Implementations

Howie Choset, +1 more
TL;DR: In this paper, the mathematical underpinnings of robot motion are discussed and a text that makes the low-level details of implementation to high-level algorithmic concepts is presented.
Journal ArticleDOI

Numerical Initial Value Problems in Ordinary Differential Equations

J. M. Watt
- 01 May 1972 - 
Journal ArticleDOI

A Survey of Motion Planning and Control Techniques for Self-Driving Urban Vehicles

Brian Paden, +4 more
TL;DR: In this article, the authors present a survey of the state of the art on planning and control algorithms with particular regard to the urban environment, along with a discussion of their effectiveness.
Posted Content

A Survey of Motion Planning and Control Techniques for Self-driving Urban Vehicles

Brian Paden, +4 more
- 25 Apr 2016 - 
TL;DR: The objective of this paper is to survey the current state of the art on planning and control algorithms with particular regard to the urban setting and to gain insight into the strengths and limitations of the reviewed approaches.
References
More filters
Book

A practical guide to splines

Carl de Boor
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.
Journal ArticleDOI

Practical Methods of Optimization.

Christoph Witzgall, +1 more
- 01 Oct 1989 - 
Book

Practical Methods of Optimization

Roger Fletcher
TL;DR: The aim of this book is to provide a Discussion of Constrained Optimization and its Applications to Linear Programming and Other Optimization Problems.
Book

Numerical Methods for Unconstrained Optimization and Nonlinear Equations (Classics in Applied Mathematics, 16)

John E. Dennis, +1 more
TL;DR: In this paper, Schnabel proposed a modular system of algorithms for unconstrained minimization and nonlinear equations, based on Newton's method for solving one equation in one unknown convergence of sequences of real numbers.
Book

Numerical methods for unconstrained optimization and nonlinear equations

John E. Dennis, +1 more
TL;DR: Newton's Method for Nonlinear Equations and Unconstrained Minimization and methods for solving nonlinear least-squares problems with Special Structure.