I. Michael Ross

Isaac Michael Ross is a Distinguished Professor and Program Director of Control and Optimization at the Naval Postgraduate School in Monterey, CA. He has published a highly-regarded textbook on optimal control theory[1] and seminal papers in pseudospectral optimal control theory,[2][3][4][5][6] energy-sink theory,[7][8] the optimization and deflection of near-Earth asteroids and comets,[9][10] robotics,[11][12] attitude dynamics and control,[13] orbital mechanics,[14][15][16] real-time optimal control, [17][18] unscented optimal control[19][20][21] and continuous optimization.[22][23][24] The Kang–Ross–Gong theorem,[25][26] Ross' π lemma, Ross' time constant, the Ross–Fahroo lemma, and the Ross–Fahroo pseudospectral method are all named after him.[27][28][29][30][31] According to a report published by Stanford University,[32] Ross is one of the world's top 2% of scientists.

  1. ^ I. M. Ross, A Primer on Pontryagin’s Principle in Optimal Control, Second Edition, Collegiate Publishers, San Francisco, CA, 2015.
  2. ^ I. M. Ross and F. Fahroo, A Pseudospectral Transformation of the Covectors of Optimal Control Systems, Proceedings of the First IFAC Symposium on System Structure and Control, Prague, Czech Republic, 29–31 August 2001.
  3. ^ I. M. Ross and F. Fahroo, Legendre Pseudospectral Approximations of Optimal Control Problems, Lecture Notes in Control and Information Sciences, Vol. 295, Springer-Verlag, 2003.
  4. ^ Ross, I. M.; Fahroo, F. (2004). "Pseudospectral Knotting Methods for Solving Optimal Control Problems". Journal of Guidance, Control and Dynamics. 27 (3): 3. doi:10.2514/1.3426.
  5. ^ I. M. Ross and F. Fahroo, Discrete Verification of Necessary Conditions for Switched Nonlinear Optimal Control Systems, Proceedings of the American Control Conference, Invited Paper, June 2004, Boston, MA.
  6. ^ Ross, I. M.; Fahroo, F. (2004). "Pseudospectral Methods for the Optimal Motion Planning of Differentially Flat Systems". IEEE Transactions on Automatic Control. 49 (8): 1410–1413. doi:10.1109/tac.2004.832972. hdl:10945/29675. S2CID 7106469.
  7. ^ Ross, I. M. (1996). "Formulation of Stability Conditions for Systems Containing Driven Rotors". Journal of Guidance, Control and Dynamics. 19 (2): 305–308. Bibcode:1996JGCD...19..305R. doi:10.2514/3.21619. hdl:10945/30326. S2CID 121987998.
  8. ^ Ross, I. M. (1993). "Nutational Stability and Core Energy of a Quasi-rigid Gyrostat". Journal of Guidance, Control and Dynamics. 16 (4): 641–647. Bibcode:1993JGCD...16..641R. doi:10.2514/3.21062. hdl:10945/30324. S2CID 122480792.
  9. ^ Ross, I. M.; Park, S. Y.; Porter, S. E. (2001). "Gravitational Effects of Earth in Optimizing Delta-V for Deflecting Earth-Crossing Asteroids". Journal of Spacecraft and Rockets. 38 (5): 759–764. doi:10.2514/2.3743. S2CID 123431410.
  10. ^ Park, S. Y.; Ross, I. M. (1999). "Two-Body Optimization for Deflecting Earth-Crossing Asteroids". Journal of Guidance, Control and Dynamics. 22 (3): 415–420. Bibcode:1999JGCD...22..415P. doi:10.2514/2.4413.
  11. ^ M. A. Hurni, P. Sekhavat, and I. M. Ross, "An Info-Centric Trajectory Planner for Unmanned Ground Vehicles," Dynamics of Information Systems: Theory and Applications, Springer Optimization and its Applications, 2010, pp. 213–232.
  12. ^ Gong, Q.; Lewis, L. R.; Ross, I. M. (2009). "Pseudospectral Motion Planning for Autonomous Vehicles". Journal of Guidance, Control and Dynamics. 32 (3): 1039–1045. Bibcode:2009JGCD...32.1039G. doi:10.2514/1.39697.
  13. ^ Fleming, A.; Sekhavat, P.; Ross, I. M. (2010). "Minimum-Time Reorientation of a Rigid Body". Journal of Guidance, Control and Dynamics. 33 (1): 160–170. Bibcode:2010JGCD...33..160F. doi:10.2514/1.43549. S2CID 120117410.
  14. ^ Ross, I. Michael (2003-07-01). "Linearized Dynamic Equations for Spacecraft Subject to J2 Perturbations". Journal of Guidance, Control, and Dynamics. 26 (4): 657–659. Bibcode:2003JGCD...26..657R. doi:10.2514/2.5095.
  15. ^ Ross, I. Michael (2002-07-01). "Mechanism for Precision Orbit Control with Applications to Formation Keeping". Journal of Guidance, Control, and Dynamics. 25 (4): 818–820. Bibcode:2002JGCD...25..818R. doi:10.2514/2.4951.
  16. ^ I. M. Ross, H. Yan and F. Fahroo, "A Curiously Outlandish Problem in Orbital Mechanics," American Astronautical Society, AAS Paper 01-430, July–Aug. 2001
  17. ^ Ross, I. M.; Fahroo, F. (2006). "Issues in the Real-Time Computation of Optimal Control". Mathematical and Computer Modelling. 43 (9–10): 1172–1188. doi:10.1016/j.mcm.2005.05.021.
  18. ^ Ross, I. M.; Sekhavat, P.; Fleming, A.; Gong, Q. (2008). "Optimal Feedback Control: Foundations, Examples and Experimental Results for a New Approach". Journal of Guidance, Control and Dynamics. 31 (2): 307–321. Bibcode:2008JGCD...31..307R. CiteSeerX 10.1.1.301.1423. doi:10.2514/1.29532.
  19. ^ I. M. Ross, R. J. Proulx, and M. Karpenko, "Unscented Optimal Control for Space Flight," Proceedings of the 24th International Symposium on Space Flight Dynamics (ISSFD), May 5–9, 2014, Laurel, MD.
  20. ^ Ross, I. Michael; Proulx, Ronald J.; Karpenko, Mark; Gong, Qi (2015). "Riemann–Stieltjes Optimal Control Problems for Uncertain Dynamic Systems". Journal of Guidance, Control, and Dynamics. 38 (7): 1251–1263. Bibcode:2015JGCD...38.1251R. doi:10.2514/1.G000505. hdl:10945/48189.
  21. ^ Ross, I. Michael; Proulx, Ronald J.; Karpenko, Mark (2015). "Unscented guidance". 2015 American Control Conference (ACC). pp. 5605–5610. doi:10.1109/ACC.2015.7172217. ISBN 978-1-4799-8684-2.
  22. ^ Ross, I.M. (July 2019). "An optimal control theory for nonlinear optimization". Journal of Computational and Applied Mathematics. 354: 39–51. doi:10.1016/j.cam.2018.12.044. ISSN 0377-0427.
  23. ^ Ross, Isaac M. (2023-03-31). "Derivation of Coordinate Descent Algorithms from Optimal Control Theory". Operations Research Forum. 4 (2). arXiv:2309.03990. doi:10.1007/s43069-023-00215-6. ISSN 2662-2556.
  24. ^ Ross, I.M. (May 2023). "Generating Nesterov's accelerated gradient algorithm by using optimal control theory for optimization". Journal of Computational and Applied Mathematics. 423: 114968. arXiv:2203.17226. doi:10.1016/j.cam.2022.114968. ISSN 0377-0427.
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  27. ^ B. S. Mordukhovich, Variational Analysis and Generalized Differentiation, I: Basic Theory, Vol. 330 of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences] Series, Springer, Berlin, 2005.
  28. ^ W. Kang, "Rate of Convergence for the Legendre Pseudospectral Optimal Control of Feedback Linearizable Systems", Journal of Control Theory and Application, Vol.8, No.4, 2010. pp.391-405.
  29. ^ Jr-; Li, S; Ruths, J.; Yu, T-Y; Arthanari, H.; Wagner, G. (2011). "Optimal Pulse Design in Quantum Control: A Unified Computational Method". Proceedings of the National Academy of Sciences. 108 (5): 1879–1884. Bibcode:2011PNAS..108.1879L. doi:10.1073/pnas.1009797108. PMC 3033291. PMID 21245345.
  30. ^ N. Bedrossian, M. Karpenko, and S. Bhatt, "Overclock My Satellite: Sophisticated Algorithms Boost Satellite Performance on the Cheap", IEEE Spectrum, November 2012.
  31. ^ Stevens, R. E.; Wiesel, W. (2008). "Large Time Scale Optimal Control of an Electrodynamic Tether Satellite". Journal of Guidance, Control and Dynamics. 32 (6): 1716–1727. Bibcode:2008JGCD...31.1716S. doi:10.2514/1.34897.
  32. ^ Ioannidis, John P. A. (2023-10-04). ""October 2023 data-update for "Updated science-wide author databases of standardized citation indicators""". Elsevier Data Repository. 6. doi:10.17632/btchxktzyw.6.