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Convex optimization for trajectory generation: A tutorial on generating dynamically feasible trajectories reliably and efficiently
Reliable and efficient trajectory generation methods are a fundamental need for
autonomous dynamical systems. The goal of this article is to provide a comprehensive …
autonomous dynamical systems. The goal of this article is to provide a comprehensive …
Convex optimization for trajectory generation
Reliable and efficient trajectory generation methods are a fundamental need for
autonomous dynamical systems of tomorrow. The goal of this article is to provide a …
autonomous dynamical systems of tomorrow. The goal of this article is to provide a …
Risk-averse trajectory optimization via sample average approximation
Trajectory optimization under uncertainty underpins a wide range of applications in robotics.
However, existing methods are limited in terms of reasoning about sources of epistemic and …
However, existing methods are limited in terms of reasoning about sources of epistemic and …
Sample average approximation for stochastic programming with equality constraints
We revisit the sample average approximation (SAA) approach for nonconvex stochastic
programming. We show that applying the SAA approach to problems with expected value …
programming. We show that applying the SAA approach to problems with expected value …
Covariance steering for systems subject to unknown parameters
This work considers the optimal covariance steering problem for stochastic systems subject
to both additive noise and uncertain parameters which may enter multiplicatively with the …
to both additive noise and uncertain parameters which may enter multiplicatively with the …
Mean-covariance steering of a linear stochastic system with input delay and additive noise
In this paper, we introduce a novel approach to solve the (mean-covariance) steering
problem for a fairly general class of linear continuous-time stochastic systems subject to …
problem for a fairly general class of linear continuous-time stochastic systems subject to …
[PDF][PDF] Uncertainty Quantification based Trajectory Optimization via Ensemble Pseudospectral Optimal Control Software (EPOCS)
A Selim, I Ozkol - 12th Ankara International Aerospace …, 2023 - researchgate.net
ABSTRACT A tailored optimal control software package is developed based on ensemble
optimal control theory, desensitized ensemble optimal control, contraction metrics and …
optimal control theory, desensitized ensemble optimal control, contraction metrics and …
A Gradient Descent-Ascent Method for Continuous-Time Risk-Averse Optimal Control
In this paper, we consider continuous-time stochastic optimal control problems where the
cost is evaluated through a coherent risk measure. We provide an explicit gradient descent …
cost is evaluated through a coherent risk measure. We provide an explicit gradient descent …
Rough Stochastic Pontryagin Maximum Principle and an Indirect Shooting Method
T Lew - arxiv preprint arxiv:2502.06726, 2025 - arxiv.org
We derive first-order Pontryagin optimality conditions for stochastic optimal control with
deterministic controls for systems modeled by rough differential equations (RDE) driven by …
deterministic controls for systems modeled by rough differential equations (RDE) driven by …
Non-parametric learning of stochastic differential equations with fast rates of convergence
We propose a novel non-parametric learning paradigm for the identification of drift and
diffusion coefficients of non-linear stochastic differential equations, which relies upon …
diffusion coefficients of non-linear stochastic differential equations, which relies upon …