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Review and prospect of guidance and control for Mars atmospheric entry
The Mars atmospheric entry phase plays a vital role in the whole Mars exploration mission-
cycle. It largely determines the success of the entire Mars mission. In order to achieve a pin …
cycle. It largely determines the success of the entire Mars mission. In order to achieve a pin …
Dispersion analysis in hypersonic flight during planetary entry using stochastic Liouville equation
WITH the need to develop next generation entry, descent, and landing (EDL) technologies
for planetary exploration, quantification of uncertainties have become a major technical …
for planetary exploration, quantification of uncertainties have become a major technical …
Solution of the Probabilistic Lambert Problem: Connections with Optimal Mass Transport, Schr\" odinger Bridge and Reaction-Diffusion PDEs
The Lambert problem originated in orbital mechanics. It concerns with determining the initial
velocity for a boundary value problem involving the dynamical constraint due to gravitational …
velocity for a boundary value problem involving the dynamical constraint due to gravitational …
Gradient flow algorithms for density propagation in stochastic systems
We develop a new computational framework to solve the partial differential equations
(PDEs) governing the flow of the joint probability density functions (PDFs) in continuous-time …
(PDEs) governing the flow of the joint probability density functions (PDFs) in continuous-time …
Probabilistic model validation for uncertain nonlinear systems
This paper presents a probabilistic model validation methodology for nonlinear systems in
time-domain. The proposed formulation is simple, intuitive, and accounts both deterministic …
time-domain. The proposed formulation is simple, intuitive, and accounts both deterministic …
Uncertainty quantification for Mars atmospheric entry using polynomial chaos and spectral decomposition
X Jiang - 2018 AIAA Guidance, Navigation, and Control …, 2018 - arc.aiaa.org
A hybrid computational approach is developed for quantifying the propagation of the
uncertainty in state trajectories of a low-lift Mars entry vehicle due to the uncertainty in initial …
uncertainty in state trajectories of a low-lift Mars entry vehicle due to the uncertainty in initial …
Hypersonic state estimation using the Frobenius-Perron operator
This paper presents a nonlinear state-estimation algorithm that combines the Frobenius–
Perron operator theory with the Bayesian estimation theory. The Frobenius–Perron operator …
Perron operator theory with the Bayesian estimation theory. The Frobenius–Perron operator …
Model validation: A probabilistic formulation
This paper presents a probabilistic formulation of the model validation problem. The
proposed validation framework is simple, intuitive, and can account both deterministic and …
proposed validation framework is simple, intuitive, and can account both deterministic and …
Probabilistic Lambert Problem: Connections with Optimal Mass Transport, Schrödinger Bridge, and Reaction-Diffusion PDEs
The Lambert problem originated in orbital mechanics. It is concerned with determining the
initial velocity for a boundary value problem involving the dynamical constraint due to …
initial velocity for a boundary value problem involving the dynamical constraint due to …
Further results on probabilistic model validation in Wasserstein metric
In a recent work [1], we have introduced a probabilistic formulation for the model validation
problem to provide a unifying framework for (in) validating nonlinear deterministic and …
problem to provide a unifying framework for (in) validating nonlinear deterministic and …