DANIELE MORTARI
Professor
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TFC book: Leake, C., Johnston, H., and Mortari, D. The Theory of Functional Connections: A Functional Interpolation. Framework with Applications. Lulu, Morrisville NC, 2022. Available on Lulu, Amazon, and Barnes&Nobles.
Biography
During the past few years, my research has focused on: 1) orientation and position estimation of spacecraft, 2) attitude sensor data processing, 3) satellite constellations, and 4) various topics in linear algebra and numerical algorithms (function inversion, functional interpolation, differential equations, k-vector, rotation in n-dimensional spaces, etc.).
Research Interest
- Attitude and position determination systems
- Satellite constellations design (Flower Constellation, starting at 4:45)
- Sensor data processing
- Algorithms (k-vector) and linear algebra
- Theory of Functional Connections [papers] – [code (Python)] – [code readme] – [Seminar at Crunch, starting at 57:18] [TFC Phyton toolbox seminar] Wikipedia [English, Spanish, Portuguese, Italian, Korean, Chinese],
- Daniele Mortari Astronautics Symposium, December 11-12, 2025. [day1], [day2].
2025 Journal articles
- Furfaro, D. and Mortari, D. “Breaking the Constraint Barrier: TFC for Advanced Neural Intelligence,” 2026. International workshop “AI-driven Approaches for Space Applications: Challenges, Opportunities, and Interdisciplinary Perspectives,” Ischia (Italy), June 15-19, 2026.
- Mortari, D. “A Review of Theory of Functional Connections with Aerospace and Op[timal Control Applications,” 2026. Progress in Aerospace Sciences, Submitted.
- Calabrese, S. and Mortari, D. “Reconciling Approximate ODEs and Noisy Data using Theory of Functional Connections,” 2026. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. Submitted.
- Mortari, D. “Leveraging Minimum Parameterization in the Theory of Functional Connections,” Lobachevskii Journal of Mathematics. 2026, Vol. 46, No. 8. pp. 4106-4123. DOI: 10.1134/S1995080225609294.
- de Almeida, A. and Mortari, D. “Poincaré maps with the Theory of Functional Connections“, 2026. Nonlinear Dynamics. Vol. 114, No. 222.
- Mortari, D. “Theory of Functional Connections for Continuous Integral Constraints,” Mathematical and Computational Applications. 2025, 30(5), 105; https://doi.org/10.3390/mca30050105.
- White, T. and Mortari, D. “Theory of Functional Connections Applied to Linear Discontinuous Differential Equations,” Mathematics 2025, 13(17), 2785.
- Gutierrez de Alba, J., Tresaco, E., and Mortari, D. “A Study on an Optimal Analytical and an Accurate Algorithmic Landing Techniques,” 2025. Advances in Space Research. Vol. 76. No. 1, pp. 3098-3108.
Research team
- Kwon Yong Jae, MS, Aerospace Engineering, Texas A&M University, Started August 2024.
- John Deluca, MS, Aerospace Engineering, Texas A&M University, Started August 2025.