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Showing 1-20 of 111 results

  1. Neighboring Optimal Guidance in Bang Bang Control with Target

    The purpose of this paper is to present a Neighboring Optimal Guidance algorithm capable of driving a dynamical system along an optimal trajectory to...

    Leonardo Mazzini in Journal of Optimization Theory and Applications
    Article 27 August 2023

  2. Extended Sufficient Conditions for Strong Minimality in the Bolza Problem: Applications to Space Trajectory Optimization

    This paper expands the existing sufficiency results for the strong minimality of an extremal of the Bolza problem. We cover the case where the strict...

    Leonardo Mazzini in Journal of Optimization Theory and Applications
    Article 08 January 2021

  3. Local \(L^1\) sub-Finsler geometry in dimension 3: non-generic cases

    We study the local geometry of the sub-Finsler structure induced by a sub-Riemannian metric on a 3-dimensional manifold. We provide a description of...

    Fazia Harrache, Francesca C. Chittaro, Mohamed Aidéne in Journal of Dynamical and Control Systems
    Article 04 September 2023

  4. Second-order Sufficient Conditions of Strong Minimality with applications to Orbital Transfers

    We present second-order Extended Sufficiency Conditions applicable without Strict Legendre Conditions and without local controllability assumption...
    Leonardo Mazzini in Modeling and Optimization in Space Engineering
    Chapter 2023

  5. Ascent Trajectory Optimization and Neighboring Optimal Guidance of Multistage Launch Vehicles

    Multistage launch vehicles are employed to place spacecraft and satellites in their operational orbits. If the rocket aerodynamics and propulsion are...
    Guido Palaia, Marco Pallone, ... Paolo Teofilatto in Modeling and Optimization in Space Engineering
    Chapter 2019

  6. Reconstruction of Ocean Depths from Recorded Tsunami Arrival Times

    Abstract

    The ocean depth is usually measured by an echo sounder in the course of a vessel cruise. However, there are a lot of areas in the World Ocean...

    An. G. Marchuk in Numerical Analysis and Applications
    Article 01 January 2021

  7. Topology of Steady Fluid Flows

    Cold and warm ocean currents (for instance, the Gulf Stream) determine the climate of continents beyond the reach of human intervention. The power of...
    Vladimir I. Arnold, Boris A. Khesin in Topological Methods in Hydrodynamics
    Chapter 2021

  9. Low-Thrust Transfers to Southern \(L_2\) Near-Rectilinear Halo Orbits Facilitated by Invariant Manifolds

    In this paper, we investigate the manifolds of three Near-Rectilinear Halo Orbits (NRHOs) and optimal low-thrust transfer trajectories using a...

    Sandeep K. Singh, Brian D. Anderson, ... John L. Junkins in Journal of Optimization Theory and Applications
    Article 01 July 2021

  10. Differential Geometry of Diffeomorphism Groups

    In 1963 E. N. Lorenz stated that a two-week forecast would be the theoretical bound for predicting the future state of the atmosphere using...
    Vladimir I. Arnold, Boris A. Khesin in Topological Methods in Hydrodynamics
    Chapter 2021

  11. Geometric optimal control and applications to aerospace

    This article deals with applications of optimal control to aerospace problems with a focus on modern geometric optimal control tools and numerical...

    Jiamin Zhu, Emmanuel Trélat, Max Cerf in Pacific Journal of Mathematics for Industry
    Article Open access 20 July 2017

  12. Topological Properties of Magnetic and Vorticity Fields

    The interior media of stars and planets are often virtually perfect conductors and possess magnetic fields. These fields are said to be “frozen" into...
    Vladimir I. Arnold, Boris A. Khesin in Topological Methods in Hydrodynamics
    Chapter 2021

  14. Typicality of Chaotic Fractal Behavior of Integral Vortices in Hamiltonian Systems with Discontinuous Right Hand Side

    In this paper, we consider linear-quadratic deterministic optimal control problems where the controls take values in a two-dimensional simplex. The...

    M. I. Zelikin, L. V. Lokutsievskii, R. Hildebrand in Journal of Mathematical Sciences
    Article 10 January 2017

  15. A numerical study for optimal low-thrust limited power transfers between coplanar orbits with small eccentricities

    A numerical study of optimal time-fixed low-thrust limited power transfers (no rendezvous), in an inverse-square force field, between coplanar orbits...

    Francisco das Chagas Carvalho, Sandro da Silva Fernandes, Rodolpho Vilhena de Moraes in Computational and Applied Mathematics
    Article 23 February 2016

  16. Interplanetary patched-conic approximation with an intermediary swing-by maneuver with the moon

    The present work quantifies the fuel consumption of a space vehicle in bi-impulsive interplanetary trajectories with an intermediary swing-by...

    Luiz Arthur Gagg Filho, Sandro da Silva Fernandes in Computational and Applied Mathematics
    Article 02 November 2017

  17. Estimating the height of a tsunami wave propagating over a parabolic bottom in the ray approximation

    In this paper, the kinematics of tsunami wave rays and wavefronts propagating over an uneven bottom is considered. Formulas to determine the wave...

    An. G. Marchuk in Numerical Analysis and Applications
    Article 01 January 2017

  18. Aubry–Mather theory for Lorentzian manifolds

    We introduce a version of Aubry–Mather theory for the length functional of causal curves in compact Lorentzian manifolds. Results include the...

    Stefan Suhr in Journal of Fixed Point Theory and Applications
    Article 24 May 2019

  19. Geometry and Variational Calculus

    This chapter contains all necessary information in regard to the differential geometry of curves and surfaces needed for the description of membrane...
    Ivaïlo M. Mladenov, Mariana Hadzhilazova in The Many Faces of Elastica
    Chapter 2017

  20. On estimates for the uniform norm of the Laplace operator of the best interpolants on a class of bounded interpolation data

    We consider an interpolation problem with minimum value of the uniform norm of the Laplace operator of interpolants for a class of bounded...

    S. I. Novikov in Proceedings of the Steklov Institute of Mathematics
    Article 01 April 2016
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