Motion planning algorithms, topological properties and affine approximation
Journal Title: Bulletin of Computational Applied Mathematics (Bull CompAMa) - Year 2015, Vol 3, Issue 1
Abstract
The topological study of the so-called "motion planning algorithms" emerged in the 2003-2004 with the works of M. Farber. We focus here on the topological study of the set of these algorithms, when the configuration space is a normed vector space. We especially show that any motion planning algorithm in a compact sub-configuration space can be approximated by some piecewise affine ones.
Authors and Affiliations
Younes Derfoufi, My Ismail Mamouni
Keywords
Related Articles
- EP ID EP240523
- DOI -
- Views 118
- Downloads 0
Linear programming model for solution of matrix game with payoffs trapezoidal intuitionistic fuzzy number
In this work, we considered two-person zero-sum games with fuzzy payoffs and matrix games with payoffs of trapezoidal intuitionistic fuzzy numbers (TrIFNs). The concepts of TrIFNs and their arithmetic operations were use...
Some Convergence Strategies for the Alternating Generalized Projection Method
In this paper we extend the application of the alternating projection algorithm to solve the problem of finding a point in the intersection of $n$ sets ($n\geq2$), which are not all of them convex sets. Here we term such...
Algebraic structures in generalized Clifford analysis and applications to boundary value problems
The present article has a threefold purpose: First it is a survey of the algebraic structures of generalized Clifford-type algebras and shows the main results of the corresponding Clifford-type analysis and its applicati...
Derivative-free method for bound constrained nonlinear monotone equations and its application in solving steady state reaction-diffusion problems
We present a derivative-free algorithm for solving bound constrained systems of nonlinear monotone equations. The algorithm generates feasible iterates using in a systematic way the residual as search direction and a sui...
Stability and square integrability of solutions of nonlinear fourth order differential equations
The aim of the present paper is to establish a new result, which guarantees the asymptotic stability of zero solution and square integrability of solutions and their derivatives to nonlinear differential equations of fou...