Aeronautics & Astronautics
Prof. Mehran Mesbahi
Mehran Mesbahi

Associate Professor

mesbahi@aa.washington.edu
Office: 318E Guggenheim Hall
Phone: (206) 543-7937
FAX: (206) 543-0217

University of Washington
BOX 352400
Seattle, WA 98195-2400


Wiki page
(updated more frequently)

 
Quick Links



Positions

  • Research Assistantships

    • Research Fields
    Asociated Labs
    Courses
    Awards
    Background

    I graduated from the University of Southern California in June of 1996. From July of 1996 until December of 1999, I was with the Guidance and Control Analysis Group of the Jet Propulsion Laboratory at California Institute of Technology. During this time, I also had appointments in the Department of Electrical Engineering- Systems at USC (1997-1998) and in the Department of Control and Dynamical Systems at Caltech (1998-1999). From January of 2000 to July of 2002, I was an Assistant Professor of Aerospace Engineering and Mechanics at the University of Minnesota-Twin Cities. In the summer of 2002, I joined the Department of Aeronautics and Astronautics at the University of Washington.

    Research Themes
    Projects
    (for a more up-to-date list please refer to the Wiki page)

    Publications
      Journal Papers
      (for a more up-to-date list please refer to the Wiki page)

    1. A. Rahmani, M. Mesbahi, and F. Y. Hadaegh, On the optimal balanced-energy formation flying maneuvers, AIAA Journal of Guidance, Control, and Dynamics , (29) 6: 1395-1403, 2006.
    2. Y. Kim and M. Mesbahi. On maximizing the second smallest eigenvalue of a state-dependent graph Laplacian, IEEE Transactions on Automatic Control, (51) 1: 116-120, 2006.
    3. Y. Hatano and M. Mesbahi. Agreement over random networks, IEEE Transactions on Automatic Control, (50) 11: 1867-1872, 2005.
    4. M. Mesbahi. On state-dependent dynamic graphs and their controllability properties, IEEE Transactions on Automatic Control (50) 3: 387- 392, 2005.
    5. Y. Kim and M. Mesbahi. Quadratically constrained attitude control via semidefinite programming, IEEE Transactions on Automatic Control (49) 5: 731-735, 2004.
    6. Y. Kim, M. Mesbahi, and F. Y. Hadaegh. Multiple-spacecraft reconfigurations through collision avoidance, bouncing, and stalemates, Journal of Optimization Theory and its Applications, (122) 2: 323-343, 2004.
    7. Y. Kim, M. Mesbahi, and F. Y. Hadaegh. Dual-spacecraft formation flying: optimal collision-free reconfigurations, AIAA Journal of Guidance, Control, and Dynamics, (26): 2, 375-379, 2003 (longer version: pdf , postscript ).
    8. M. Mesbahi and F. Y. Hadaegh. Mode and logic-based switching for the formation flying control of multiple spacecraft, Journal of Astronautical Sciences , 49 (3): 443-468, 2001.
    9. M. Mesbahi and F. Y. Hadaegh. Formation flying of multiple spacecraft via graphs, matrix inequalities, and switching , AIAA Journal of Guidance, Control, and Dynamics, (24) 2: 369-377, 2001.
    10. M. Mesbahi. Robustness analysis via the running time of the interior point methods , Systems and Control Letters, 44 (5): 355-361, 2001.
    11. M. Mesbahi and G. P. Papavassilopoulos. On the communication complexity of Lipschitzian optimization for the coordinated model of computation . Journal of Complexity, 16 (2): 459-473, 2000.
    12. M. Mesbahi, G. P. Papavassilopoulos, and V. K. Prasanna. On the parallel and VLSI implementation of the interior point methods, International Journal of Modeling and Simulations, 19 (4): 405-409, 1999.
    13. M. Mesbahi. Solving a class of rank minimization problems as semi-definite programs with applications to fixed order output feedback synthesis, Systems and Control Letters, 33 (1): 31-36, 1998.
    14. M. Mesbahi and G. P. Papavassilopoulos. On the rank minimization problem over a positive semi-definite linear matrix inequality, IEEE Transactions on Automatic Control, 42 (2): 239-243, 1997.
    15. M. Mesbahi and G. P. Papavassilopoulos, A cone programming approach to the bilinear matrix inequality problem and its geometry, Mathematical Programming (B), 77 (2): 247-272, 1997.
    16. M. Mesbahi. Fixed-order output feedback synthesis via semidefinite programming (pdf) (submitted).
    17. Y. Kim and M. Mesbahi. On random max-agreement over finite graphs (submitted).
    18. Y. Kim, M. Mesbahi, G. Singh, and F. Y. Hadaegh. On the constrained attitude control problem (submitted).
    19. Y. Kim and M. Mesbahi. On the rank minimization problem (submitted).
    20. A. Das, Y. Hatano, and M. Mesbahi. Agreement over noisy networks (submitted).
    21. A. Das and M. Mesbahi. Distributed parameter estimation over sensor networks (submitted).
    22. A. Rahmani, M. Ji, M. Mesbahi, and M. Egerstedt. Controllability of multi-agent systems from a graph theoretic perspective (submitted).
      Conference Papers:
      (for a more up-to-date list please refer to the Wiki page)

    1. A. Rahmani and M. Mesbahi. "Controlled agreement over networks: anchoring, controllability, and graph automorphisms," American Control Conference, 2007.
    2. A. Das and M. Mesbahi. "Distributed linear parameter estimation in sensor networks," IEEE Conference on Sensor, Mesh, and Ad Hoc Communications and Networks, 2006.
    3. A. Rahmani and M. Mesbahi. "On the controlled agreement problem," American Control Conference, 2006.
    4. Y. Hatano, A. Das, and M. Mesbahi. "Agreement in presence of noise: pseudogradients on random geometric networks, " IEEE Conference on Decision and Control, 2005.
    5. J. Sandhu, M. Mesbahi, and T. Tsukamaki. "Relative sensing networks: observability, estimation, and the control structure," IEEE Conference on Decision and Control, 2005.
    6. J. Sandhu, M. Mesbahi, and T. Tsukamaki. "Cuts and flows in relative sensing and control of spatially distributed systems," American Control Conference, 2005.
    7. A. Rahmani and M. Mesbahi. "Optimized balanced-energy formation flying maneuvers," AIAA Guidance, Navigation, and Control, 2005.
    8. Y. Kim and M. Mesbahi. "On maximizing the second smallest eigenvalue of a state-dependent Laplacian," American Control Conference, 2005.
    9. A. K. Das, M. Mesbahi, and Y. Kim. "On K-node survivable power efficient topologies in wireless networks with sectored antennas," IEEE INFOCOM, 2005.
    10. Y. Hatano and M. Mesbahi. "Agreement over random networks,"IEEE Conference on Decision and Control, 2004.
    11. M. Mesbahi. "On state-dependent dynamic graphs and their controllability properties," IEEE Conference on Decision and Control, 2004.
    12. Y. Kim, M. Mesbahi, G. Singh, and F. Y. Hadaegh. "On the constrained attitude control problem," AIAA Guidance, Navigation, and Control, 2004.
    13. Y. Kim and M. Mesbahi."On the rank minimization problem," American Control Conference (best session presentation), June 2004.
    14. M. Mesbahi. "State-dependent graphs," IEEE Conference on Decision and Control, 2003.
    15. Y. Kim and M. Mesbahi. "Quadratically constrained attitude control via semidefinite programming," IEEE Conference on Decision and Control, 2003.
    16. Y. Shao, M. Mesbahi, and G. Balas. "Planing, switching, and supercavitating flight control," AIAA Guidance, Navigation, and Control, 2003.
    17. M. Mesbahi. On a dynamic extension of the theory of graphs , American Control Conference, 2002.
    18. M. Mesbahi and F. Y. Hadaegh. "Mode and logic-based switching for the formation flying of multiple spacecraft," American Control Conference, 2001.
    19. M. Mesbahi. "Towards an algorithmic theory of robustness," American Control Conference, 2001.
    20. M. Mesbahi and F. Y. Hadaegh. "Switching control strategies for the uv-plane coverage," AAS Guidance and Control Conference, 2000.
    21. M. Mesbahi. "A semi-Definite programming approach for the solution of the least order dynamic output feedback and related problems. IEEE Conference on Decision and Control, 1999.
    22. M. Mesbahi and F. Y. Hadaegh. "Formation flying control of multiple spacecraft: graph theoretic properties and switching schemes," AIAA Guidance, Navigation, and Control, 1999.
    23. M. Mesbahi and F. Y. Hadaegh, "A robust control approach for the formation flying of multiple spacecraft." European Control Conference, Karlsruhe, Germany, Sept. 1999.
    24. M. Mesbahi and F. Y. Hadaegh. "Formation flying control of multiple spacecraft via graphs, matrix inequalities, and switching." IEEE Conference on Control Applications, Kona, Hawaii, Aug. 1999.
    25. M. Mesbahi and F. Y. Hadaegh."Reconfigurable control for the formation flying of multiple spacecraft." International Multi-Conference on Circuits, Systems, and Control, Athens, Greece, Jul. 1999.
    26. M. Mesbahi. "Least order dynamic output feedback synthesis is polynomial-time solvable." American Control Conference, June 1999.
    27. M. Mesbahi and F. Y. Hadaegh. "A switching mechanism for the formation flying control." American Control Conference, June 1999.
    28. L. Gurvits and M. Mesbahi. "A polynomial-time algorithm for solving certain classes of rank minimization problem" . American Control Conference, June 1999.
    29. M. Mesbahi. "On robustness measures and the feasible set of the LMIs arising in stability analysis." American Control Conference, Philadelphia, Pennsylvania, June 1998.
    30. M. Mesbahi. "A complexity theoretic perspective on robustness analysis." AIAA Guidance, Navigation, and Control Conference, New Orleans, Louisiana, August 1997.
    31. M. Mesbahi and G. P. Papavassilopoulos. "On the fixed order output feedback synthesis." American Control Conference, Albuquerque, New Mexico, June 1997.
    32. M. Mesbahi and G. P. Papavassilopoulos. "LMIs, interior point methods, complexity theory, and robustness analysis." IEEE Conference on Decision and Control, Kobe, Japan, Dec. 1996.
    33. M. Mesbahi, G. P. Papavassilopoulos, and M. G. Safonov, ``Matrix cones, complementarity problems, and the bilinear matrix inequality,'' IEEE Conference on Decision and Control, New Orleans, Louisiana, Dec. 1995.
    34. M. Mesbahi and G. P. Papavassilopoulos. "Some recent matrix problems in control theory - linear, bilinear, and complementarity problems." International Conference on Complementarity Problems, John Hopkins University, Baltimore, Maryland, Nov. 1995.
    35. M. Mesbahi and G. P. Papavassilopoulos. "On the geometry of the bilinear matrix inequalities." American Mathematical Society Summer Seminar on Mathematics of Numerical Analysis, Park City, Utah, Aug. 1995.
    36. M. Mesbahi , G. P. Papavassilopoulos, and V. K. Prasanna. "On the parallel and VLSI implementation of the interior point methods for linear programming," International Conference on Parallel and Distributed Computing and Systems, Washington, D. C., Oct. 1994.
      Reports and Technical Memorandum

    1. A. Ahmed, J. Alexander, D. Boussalis, W. Breckenridge, G. Macala, M. Mesbahi, M. San Martin, G. Singh, and E. Wong. Cassini Control Analysis Book , Jet Propulsion Laboratory, 1997.
    2. Mesbahi. "On the optimal fuel/time maneuvers for ST3," Technical Memorandum, Jet Propulsion Laboratory, Oct. 1999.
    3. M. Mesbahi. "On the effect of delays in the formation flying control performance in DS-3," Technical Memorandum, Jet Propulsion Laboratory, Oct. 1998.
    4. M. Mesbahi. "Reconfigurable control strategies for formation flying." Technical Memorandum, Jet Propulsion Laboratory, Dec. 1997.
    5. M. Mesbahi, "Control and estimation algorithms for spacecraft moving in formation," Technical Memorandum, Jet Propulsion Laboratory, Nov. 1996.
    6. M. Mesbahi, "Studies on catastrophe theory and chaos," Technical Report, University of Southern California, May 1991.
    7. M. Mesbahi, "Studies on traffic dynamics," Technical Report, University of Southern California, Aug. 1991.
      Book Chapter

    1. M. Mesbahi, M. G. Safonov, and G. P. Papavassilopoulos, Bilinearity and complementarity in robust control . In Advances in Linear Matrix Inequality Methods in Control, SIAM, 2000.
      Edited Volume

    1. M. Mesbahi and G. P. Papavassilopoulos, Least elements and minimal rank matrices." in Recent Advances in Complementarity Theory - State of the Art. SIAM, 1997.
      Thesis

    1. M. Mesbahi. Matrix Inequalities, Stability Theory, Interior Point Methods, and Distributed Computation. Ph.D. Thesis. Department of Electrical Engineering - Systems, University of Southern California, June 1996.
    2. M. Mesbahi. Complementarity Problems in Systems and Control. Master's Thesis, Department of Mathematics, University of Southern California, May 1995.
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