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New smoothing techniques for solving bang–bang optimal control problems—numerical results and statistical interpretation

https://doi.org/10.1002/oca.709
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Outgoing claims: the papers this work cites, builds on, or argues with.

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On the computation of optimal singular and bang–bang controls
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Optimization—Theory and Applications
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Interior-point methods: An old and new approach to nonlinear programming
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Singular Optimal Control Problems
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OPTIMAL CONTROL FOR ENGINES WITH ELECTRO-IONIC PROPULSION UNDER CONSTRAINT OF ECLIPSE
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Superlinear convergence of smoothing quasi-Newton methods for nonsmooth equations
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Applied Optimal Control
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Convergence domains of certain iterative methods for solving nonlinear equations
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Global and superlinear convergence of the smoothing Newton method and its application to general box constrained variational inequalities
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Nonlinear Programming--Sequential Unconstrained Minimization Techniques
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Optimal control of variational inequalities
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Computation of optimal singular controls
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NUMERICAL METHODS FOR TWO-POINT BOUNDARY-VALUE PROBLEMS
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A Logarithmic Barrier Function Algorithm for Quadratically Constrained Convex Quadratic Programming
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On Homotopy-Smoothing Methods for Box-Constrained Variational Inequalities
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Numerical Methods for Two-Point Boundary Value Problems
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Solving Ordinary Differential Equations with Discontinuities
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A Continuation Method for Singular Optimal Control Synthesis
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Survey of Numerical Methods for Trajectory Optimization

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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An Earth Trojans search mission with asteroid flybys and rendezvous to 2010TK7
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An integrated model for airport runway assignment and aircraft trajectory optimisation
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A COMBINED ADAPTIVE CONTROL PARAMETRIZATION AND HOMOTOPY CONTINUATION TECHNIQUE FOR THE NUMERICAL SOLUTION OF BANG–BANG OPTIMAL CONTROL PROBLEMS
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Enhanced Kinetic Impactor for Deflecting Large Potentially Hazardous Asteroids via Maneuvering Space Rocks
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Closed‐form solution of discrete‐time optimal control and its convergence
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Minimizing the fuel consumption of a vehicle from the Shell Eco-marathon: a numerical study
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Low-thrust Lyapunov to Lyapunov and Halo to Halo missions with L 2 -minimization
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Hybrid QPSO and SQP Algorithm with Homotopy Method for Optimal Control of Rapid Cooperative Rendezvous
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Accelerated Deorbiting of MEO Satellites Using Low-Thrust Propulsion and Resonant Perturbations
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A robust pseudospectral method for numerical solution of nonlinear optimal control problems
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Multi-step optimization strategy for fuel-optimal orbital transfer of low-thrust spacecraft
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Differential continuation for regular optimal control problems
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Locally deforming continuation method based on a shooting method for a class of optimal control problems
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A Rendezvous Mission to the Second Earth Trojan Asteroid 2020 XL5 with Low-Thrust Multi-Gravity Assist Techniques
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Trajectory Design and Optimization Tool for Deep Space Exploring
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Optimization for Far-distance Cooperative Rendezvous with Multiple Direction-fixed Thrusts
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Trajectory Optimization for Asteroid Landing Considering Gravitational Orbit-Attitude Coupling
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Practical Homotopy Methods for Finding the Best Minimum-Fuel Transfer in the Circular Restricted Three-Body Problem
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L2 Norm-Based Control Regularization for Solving Optimal Control Problems
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ℓ1-Optimal Newton Method for Nonlinear ℓ1-Optimal Control Problems
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Low-Thrust Trajectory Design Optimization with Stochastic Convolution
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Minimum-fuel powered descent guidance for soft landing on irregular-shaped asteroids
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Optimal Gravity-Assist Low-Thrust Trajectory Using a Robust Homotopic Approach
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Finite-Thrust Trajectory Optimal of Earth Orbit Transfer with J2 Perturbation Considered by Homotopic Approach
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Optimal-fuel control design of nonlinear spacecraft rendezvous system with the collision avoidance constraint
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A data-driven indirect method for nonlinear optimal control
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Fuel-optimal control for soft landing on an irregular asteroid
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Fuel-Optimal Low-Thrust Trajectory Optimization Using Indirect Method and Successive Convex Programming
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Warm-Start Multihomotopic Optimization for Low-Thrust Many-Revolution Trajectories
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Robust Low-Thrust Trajectory Optimization Using Convex Programming and a Homotopic Approach
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Indirect Optimization of Fuel-Optimal Many-Revolution Low-Thrust Transfers With Eclipses
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Two-Dimensional Reachability of Low-Thrust Spacecraft
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Multiphase Homotopic Approaches for Best Solution to Low-Thrust Geocentric Trajectories
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Optimal Design and Tracking Control of Low-Thrust Orbit Transfers Between Planar and Vertical Lyapunov Orbits
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Fuel-Optimal Control for Multiple Spacecraft Formation Flying With Relative Motion Constraints
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Low-Thrust Trajectory Optimization via Knowledge-Enhanced Deep Neural Network
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Continuation With Stationary Condition-Based Termination for Optimal Orbit Transfer Problems
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Generic Homotopic Smoothing for Low-Thrust Optimal Control Problems With Power Constraints
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On Convergence Performance of Discrete-Time Optimal Control Based Tracking Differentiator
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A smoothed exact penalty function method for the optimal-fuel spacecraft rendezvous problem with the collision avoidance constraint
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High-order expansion of neural ordinary differential equation flows
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State-Dependent Temperature Control for Langevin Diffusions
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PARAMETRIC TRAJECTORY OPTIMISATION FOR INCREASED PAYLOAD
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Fuel-Optimal Trajectory Planning for Lunar Vertical Landing
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Interplanetary transfers via deep representations of the optimal policy and/or of the value function
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Indirect Optimization of Satellite Deployment into a Highly Elliptic Orbit
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A quadratic homotopy method for fuel-optimal low-thrust trajectory design
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Indirect low-thrust trajectory optimization with gridded ion thruster model
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Optimization of low-thrust multi-debris removal mission via an efficient approximation model of orbit rendezvous
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A modified control parametrization method for the numerical solution of bang–bang optimal control problems
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Mission design for multi-target and multi-mode rendezvous missions to small bodies
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Design and optimization of low thrust transfer trajectory for engineering constraints
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Upper bound analysis of smoothing parameter in the smoothing method for minimum-fuel low-thrust trajectory optimization
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Convergence properties analysis of the indirect optimization techniques for solar sail trajectory optimization
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Optimization of trajectories for a spacecraft with an electric rocket engine of low thrust
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Shadow Modeling with Warm-up time forMulti-revolution Low thrust transfers
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Adaptive Homotopy Continuation Using Reinforcement Learning for Enhanced Convergence and Computational Efficiency
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Adaptive Homotopy Continuation Using Reinforcement Learning for Enhanced Convergence and Computational Efficiency
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Sparse Optimal Control for Nonlinear Trajectory Design in Three-Body Problem
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Application of Costate Mapping for Enforcing Classical Orbital Elements Boundary Conditions in Orbit Transfer Maneuvers
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Variation evolving for optimal control computation in the primal space
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Minimum-Fuel Deployment for Spacecraft Formations via Optimal Control
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Optimal Control of Gravity-Tractor Spacecraft for Asteroid Deflection
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Practical Method for Optimization of Low-Thrust Transfers
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Fuel Optimization for Continuous-Thrust Orbital Rendezvous with Collision Avoidance Constraint
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Practical Techniques for Low-Thrust Trajectory Optimization with Homotopic Approach
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Optimal Control Problem for Low-Thrust Multiple Asteroid Tour Missions
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