DANIELE MORTARI
Professor Emeritus
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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 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 constellation 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].
2026 Journal articles
- Mortari, D. and Trelat, E. “From Inner-Product Inequalities to Mixed Linear Systems: TFC-Inspired Application to Convex Quadratic Programming,” 2026. In progress.
- Trelat, E. and Mortari, D. “Theory of Functional Connections for Affine Inequalities via Squared Slacks,” 2026. In progress.
- Mortari, D. “A Review of Theory of Functional Connections with Aerospace and Optimal Control Applications,” 2026. Progress in Aerospace Sciences, Submitted.
- Mortari, D. “Functional Interpolation with Prescribed Singularities: Extending the Theory of Functional Connections to Divergent Constraints,” 2026. Mathematics. 14(15), 2684; https://doi.org/10.3390/math14152684
- 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. 482: 20260087. https://doi.org/10.1098/rspa.2026.0087
- 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.
2026 Invited talks
- “Theory of Functional Connections applied to Optimization,” School of Engineering and Computer Sciences, Baylor University, March 24, 2026, Waco (TX).
- “Breaking the Constraint Barrier: TFC for Advanced Neural Intelligence,” 6th International Symposium on Dynamic Response and Failure of Composite Materials (DRaF 2026), June 15-19, 2026, Ischia (Italy).
- “Theory of Functional Connections for Trajectory Optimization using Optimal Control,” 12th International Workshop and Advanced School, Spaceflight Dynamics and Control, University of Beira Interior, Covilhã (Portugal), 18-20 May 2026.
- At the Technical University of Munich (Germany):
- “Rotations and Orientations in n-Dimensional Spaces,” June 23, 2026.
- “The Theory of Functional Connections. Part I: Background and Theory,” June 23, 2026.
- “The Theory of Functional Connections. Part II: Current and Future Applications,” June 24, 2026.
- “Constraints First, Solutions Follow (Applications in Modern Spacecraft Navigation),” Keynote Talk, Satellite Constellations & Spacecraft Navigation, Toulouse (France), May 24-25, 2027.