He was named Fellow of the Institute of Electrical and Electronics Engineers in 2016 [2] for contributions to navigational aspects of space systems", Fellow of the American Astronautical Society in 2012 [3] "for outstanding contributions to astronautics", Fellow of Asia-Pacific Artificial Intelligence Association in 2021, recipient of 2015 AAS Dirk Brower Award [4] "for seminal contributions to the theory and practice of spacecraft orbital and rotational dynamics, particularly attitude determination and satellite constellation design", and of the 2007 IEEE Judith A. Resnik Award "for innovative designs of orbiting spacecraft constellations, and efficient algorithms for star identification and spacecraft attitude estimation".

Then, it has been applied to solve different kinds of problems belonging to different fields, such as: 1) nonlinear functions inversion and intersection, 2) extensive sampling data generation with assigned analytical (or numerical) distribution, 3) find approximate solutions of nonlinear Diophantine equations, and 4) iso-surface identification for 3-dimensional data distributions and level set analysis.

The TFC theory has been developed for multivariate rectangular domains subject to absolute, integral, relative, and linear combinations of constraints.

[14][15] In this area, TFC has unified initial, boundary, and multi-value problems by providing fast solutions at machine-error accuracy.

This approach has already been applied to solve, in real-time, direct optimal control problems, such as autonomous landing on a large planetary body.