This paper demonstrates the utilization of Pontryagin Neural Networks (PoNNs) to acquire
control strategies for achieving fuel-optimal trajectories. PoNNs, a subtype of Physics …

This paper proposes a new type of smoothing homotopy method for solving general
nonlinear optimal control problems via the indirect method, leveraging the Mainardi kernel …

An efficient indirect method is presented to determine fuel-optimal many-revolution low-
thrust transfers in the presence of Earth-shadow eclipses. Specifically, the events of shadow …

This study shows how the Theory of Functional Connections (TFC) allows us to obtain fast
and highly accurate solutions to linear ODEs involving integrals. Integrals can be constraints …

This paper introduces an efficient approach to solve quadratic and nonlinear programming
problems subject to linear equality constraints via the theory of functional connections. This …

Numerous missions leverage the weak stability boundary in the Earth–Moon–Sun system to
achieve a safe and cost-effective access to the lunar environment. These transfers are …

In this paper, the Theory of Functional Connections (TFC) is used to analyze static beams,
accounting for the von Kármán nonlinearity and using the Timoshenko–Ehrenfest beam …

The theory of functional connections, an analytical framework generalizing interpolation,
was extended and applied in the context of fractional-order operators (integrals and …

Continuation methods provide a solution to the initial guess problem that numerical root
solvers and shooting methods often face by iteratively transforming an auxiliary solution into …

This study provides a least-squares-based numerical approach to estimate the boundary
value geodesic trajectory and associated parametric velocity on curved surfaces. The …