2 papers
math.OC2026
State-constrained optimal control with the theory of functional connections: squared slacks and junction exponents
Emmanuel Tr{é}lat, Daniele Mortari
For optimal control problems with an affine state constraint, we combine the theory of functional connections (TFC), which writes every function satisfying prescribed linear condit…
astro-ph.IM2025
Poincaré Maps with the Theory of Functional Connections
A. K. de Almeida, Daniele Mortari
Poincaré maps play a fundamental role in nonlinear dynamics and chaos theory, offering a means to reduce the dimensionality of continuous dynamical systems by tracking the intersec…