**Thesis and dissertations**

- Mario de Florio
*Accurate Solutions of the Radiative Transfer Problem via Theory of Functional Connections*, Scuola di Ingegneria e Architettura, Universita’ di Bologna (Italy), 2018/19

**Journals**

- de Almeida Junior, A.K., Johnston, H., Leake, C., and Mortari, D. “Two-impulse Earth-to-Moon short time transfer using Theory of Functional Connections,”
*Celestial Mechanics and Dynamical Astronomy*, Under Review. - Schiassi, E., D’Ambrosio, A., Johnston, H., De Florio, M., Drozd, K., Furfaro, R., Curti, F., and Mortari, D. “Physics-Informed Extreme Theory of Functional Connections Applied to Optimal Control Problems for Space Guidance,” IEEE
*Aerospace and Electronics Systems*, Under Review. - Schiassi, E., Furfaro, R., Leake, C., De Florio, M., Johnston, H., and Mortari, D. “Extreme Theory of Functional Connections: A Physics-Informed Neural Network Method for solving Parametric Differential Equations,”
*Neurocomputing*, Revised version submitted. - Johnston, H. and Mortari, D. “Least-squares Solutions of Boundary-Value Problems in Hybrid Systems,”
*Journal of Computational and Applied Mathematics*, Under review. - Mai, T. and Mortari, D. “Theory of Functional Connections Applied to Nonlinear Programming under Equality Constraints,”
*Journal of Computational and Applied Mathematics*, Under review. - Johnston, H., Schiassi, E., Furfaro, R., and Mortari, D. “Fuel-Efficient Powered Descent Guidance on Planetary Bodies via the Theory of Functional Connections,”
*The Journal of Astronautical Sciences.* - Mortari, D. and Arnas, D. “Bijective Mapping Analysis to Extend the Theory of Functional Connections to Non-rectangular 2-dimensional Domains,”
*Mathematics,***2020**,*8*(9), 1593. - Leake, C., Johnston, H., and Mortari, D. “The Multivariate Theory of Functional Connections: Theory, Proofs, and Application in Partial Differential Equations,”
*Mathematics*,**2020**,*8(8)*, 1303. - Johnston, H., Leake, C., and Mortari, D. “Least-squares Solutions of Eighth-order Boundary Value Problems using the Theory of Functional Connections“,
*Mathematics*,**2020**, Vol. 8(3), No. 397. - Leake, C. and Mortari, D. “Deep Theory of Functional Connections: A New Method for Estimating the Solutions of Partial Differential Equations“,
*Machine Learning and Knowledge Extraction*,**2020**, Vol. 2, No. 1, pp. 37-55. - Furfaro, R. and Mortari, D. “Least-squares Solution of a Class of Optimal Guidance Problems via Theory of Connections,” ACTA
*Astronautica*, March**2020**, Vol. 168, pp.92-103. - Johnston, H., Leake, C., and Mortari, D. “Least-squares Solutions of Eighth-order Boundary Value Problems using the Theory of Functional Connections“,
*Mathematics*,**2020**, Vol. 8(3), No. 397. - Leake, C., Johnston, H., Smith, L., and Mortari, D. “Analytically Embedding Differential Equation Constraints into Least-Squares Support Vector Machines using the Theory of Functional Connections,”
*Machine Learning and Knowledge Extraction*.**2019**, 1(4), 1058-1083. - Mortari, D. and Leake, C. “Multivariate Theory of Connections,”
*Mathematics*,**2019**, 7(3), 296. - Johnston, H., Leake, C., Efendiev, Y., and Mortari, D. “Selected Applications of the Theory of Connections: A Technique for Analytical Constraint Embedding,”
*Mathematics*,**2019**, 7(6), 537. - Mortari, D., Johnston, H., and Smith, L. “High Accurate Least-Squares Solutions of Nonlinear Differential Equations,”
*Journal of Computational and Applied Mathematics*,**2019**, Vol. 352, May 15, pp. 293-307. - Mortari, D. “The Theory of Connections: Connecting Points,”
*Mathematics*,**2017**, 5(4), 57. - Mortari, D. “Least-Squares Solutions of Linear Differential Equations,”
*Mathematics*,**2017**, 5(4), 48.**[2017 Best Paper Award, 2nd place]**

**Conferences**

- Mortari, D. “The Theory of Connections. Part 1: Connecting Points,” AAS 17-255, 2017 AAS/AIAA Space Flight Mechanics Meeting Conference, San Antonio, TX, February 5-9, 2017.
- Mortari, D. “Least-squares Solutions of Linear Differential Equations,” AAS 17-256, 2017 AAS/AIAA Space Flight Mechanics Meeting Conference, San Antonio, TX, February 5-9, 2017.
- Mortari, D. “The Theory of Connections with Application,” XVI Jornadas de Trabajo en Mecánica Celeste, Soria (Spain), June 19-21, 2017.
- Mortari, D., Johnston, H., and Smith, L. “Least-squares Solutions of Nonlinear Differential Equations,” Paper of the 2018 AAS/AIAA Space Flight Mechanics Meeting Conference, Kissimmee, FL, January 8-12, 2018.
- Mortari, D. and Furfaro, R. “Theory of Connections Applied to First-Order System of Ordinary Differential Equations Subject to Component Constraints,” AAS 18-230, 2018 AAS/AIAA Astrodynamics Specialist Conference, Snowbird, UT, August 19-23, 2018.
- Johnston, H. and Mortari, D. “Linear Differential Equations Subject to Relative, Integral, and Infinite Constraints,” AAS 18-273, 2018 AAS/AIAA Astrodynamics Specialist Conference, Snowbird, UT, August 19-23, 2018.
- Johnston, H. and Mortari, D. “Theory of Connections Solution to Perturbed Lambert’s Problem,” AAS 18-282, 2018 AAS/AIAA Astrodynamics Specialist Conference, Snowbird, UT, August 19-23, 2018.
- Furfaro, R. and Mortari, D. “Least-squares Solution of a Class of Optimal Guidance Problems,” AAS 18-362, 2018 AAS/AIAA Astrodynamics Specialist Conference, Snowbird, UT, August 19-23, 2018.
- Mortari, D. “The Theory of Functional Connections: Connecting Functions,” IAA-AAS-SciTech-072, Forum 2018, Peoples’ Friendship University of Russia, Moscow (Russia), November 13-15, 2018.
- Johnston, H. and Mortari, D. “Weighted Least-Squares Solutions of Over-Constrained Differential Equations,” IAA-AAS-SciTech-081, Forum 2018, Peoples’ Friendship University of Russia, Moscow (Russia), November 13-15, 2018.
- Mortari, D. “The Theory of Functional Connections: Current Status,” XIX Colóquio Brasileiro de Dinâmica Orbital, CBDO-2018. Instituto Nacional de Pesquisas Espaciais, São José dos Campos (Brasil), Dec. 3-7, 2018
- Drozd, K., Furfaro, R., and Mortari, D. “Constrained Energy-Optimal Guidance in Relative Motion via Theory of Functional Connections and Rapidly-Explored Random Trees,” AAS 19-662, 2019 AAS/AIAA Astrodynamics Specialist Conference, Portland, ME, August 11-15, 2019.
- Mortari, D., Mai, T., and Efendiev, Y. “Theory of Functional Connections Applied to Nonlinear Programming under Equality Constraints,” AAS 19-675, of the 2019 AAS/AIAA Astrodynamics Specialist Conference, Portland, ME, August 11-15, 2019.
- Schiassi, E., Furfaro, R., Johnston, H., and Mortari, D. “Fuel-efficient Powered Descent Guidance on Planetary Bodies via Theory of Functional Connection,” AAS 19-718, of the 2019 AAS/AIAA Astrodynamics Specialist Conference, Portland, ME, August 11-15, 2019.
- Johnston, H., Leake, C., and Mortari, D. “An Analysis of the Theory of Functional Connections Subject to Inequality Constraints,” AAS 19-732, of the 2019 AAS/AIAA Astrodynamics Specialist Conference, Portland, ME, August 11-15, 2019.
- Mortari, D. and Leake, C. “An Explanation and Implementation of the Multivariate Theory of Functional Connections via Examples,” AAS 19-734, 2019 AAS/AIAA Astrodynamics Specialist Conference, Portland, ME, August 11-15, 2019.
- Johnston, H. and Mortari, D. “Orbit Propagation via the Theory of Functional Connections,” AAS 19-736, 2019 AAS/AIAA Astrodynamics Specialist Conference, Portland, ME, August 11-15, 2019.
- Mortari, D. “The Theory of Functional Connections: Current Status,” XXV International Congress of the Italian Association of Aeronautics and Astronautics, Rome (Italy), September 9-12, 2019.
- Furfaro, R., Drozd, K., and Mortari, D. “Energy-Optimal Rendezvous Spacecraft Guidance via Theory of Functional Connections,” 70th International Astronautical Congress 2019, IAF Astrodynamics Symposium, Washington, D.C., October 21-25, 2019.
- Schiassi, E., D’Ambrosio, A., Johnston, H., De Florio, M., Furfaro, R., Curti, F., and Mortari, D. “Physics-Informed Solution of Optimal Control Problems via Extreme Theory of Functional Connections”, AAS 20-524, Astrodynamics Specialist Conference, August 9-12, Lake Tahoe, CA.
- Schiassi, E., D’Ambrosio, A., Johnston, H., Furfaro, R., Curti, F., and Mortari, D. “Complete Energy Optimal Landing on Small and Large Planetary Bodies via Theory of Functional Connections”, AAS 20-557, Astrodynamics Specialist Conference, August 9-12, Lake Tahoe, CA.
- Furfaro, R., Schiassi, E., Drozd, K., and Mortari, D. “Physics-Informed Neural Networks and Theory of Functional Connections for Optimal Space Guidance Applications,” IAC 2020, 71-st International Astronautical Congress, 12-16 October 2020, Dubai, United Arab Emirates.

**Publications on Sling-Sat**

- Missel, J. and Mortari, D. “Sling Satellite for Debris Removal with Aggie Sweeper,” AAS 10-256, AAS/AIAA Space Flight Mechanics Meeting Conference, New Orleans, LO, Feb. 13-17, 2011.
- Missel, J. and Mortari, D. “Optimization of Debris Removal Path for TAMU Sweeper,” AAS 12-167, AAS/AIAA Space Flight Mechanics Meeting Conference, Charleston, SC, Jan. 29 – Feb. 2, 2012.
- Missel, J. and Mortari, D. “Removing Space Debris through Sequential Captures and Ejections,” AIAA Journal of Guidance, Control, and Dynamics, Vol. 36, No. 3, 2013, pp. 743-752.
- Missel, J. and Mortari, D. “Path Optimization for Space Sweeper with Sling-Sat: A Method of Active Space Debris Removal,” COSPAR Advances in Space Research, Vol. 52, No. 7, 2013, pp. 1339-1348.

**Videos on Sling-Sat**

- TAMU-Sweeper Sling-Sat explained for large audience [Link to Youtube video]. [Download video in mp4 format] [video]
- KAGS-TV Interview (August 2, 2012) [Link #1], [Link #2].
- Poster [Link]
- LASR video [Link].