Professor and Associate Department Chair
After brief service as a post-doctoral engineer at the University of California-Berkeley, Professor Mukai joined Washington University in St. Louis as an assistant professor in 1975. In 1982, while on a sabbatical leave, he taught at the University of California-Berkeley and worked as a full-time consultant in San Francisco for the Pacific Gas and Electric, a local utility company for most of northern California. From 1997 to 1998, while also on a sabbatical leave, he taught at the University of Namur in Belgium and worked as a researcher at the University of Ghent in Belgium.
Professor Mukai has twice been voted Professor of the Year by students in the School of Engineering & Applied Science. He is a Professional Engineer registered with the State of Missouri.
Professor Mukai's research activities involve development of new computational methods for both unconstrained and constrained optimization. He also develops methods for monitoring and controlling engineering systems such as electrical power networks. His recent interests focus on computation methods for differential games and dynamic estimation.
D. Yan and H. Mukai, "Stochastic Discrete Optimization," SIAM Journal on Control and Optimization, Vol. 30, pp. 594-612, 1992.
, A. Tanikawa, I. Tunay, I. A. Ozcan, I. N. Katz, H. Schattler, P. Rinaldi, G. J. Wang, L. Yang and Y. Sawada, “Sequential Linear-Quadratic Method for Differential Games with Air Combat Applications,'' Computational Optimization and Applications
, Vol. 25, pp. 193-222, 2003.
Wen-Liang A. Wang and H. Mukai
, “Stability of Linear Time-Invariant Open-Loop Unstable Systems with Input Saturation, Asian Journal of Control
, Vol. 6, No 4, pp. 496-506, Dec. 2004.
I. N. Katz, H. Mukai
, H. Schattler, M. Zhang, and M. Xu, “Solution of a Differential Game Formulation of Military Air Operations by the Method of Characteristics,” Journal of Optimization Theory and Applications
, Vol. 125, No. 1, pp. 113-135, Apr. 2005.
A. Tanikawa, H. Mukai
and M. Xu, “Local Convergence of the Sequential Quadratic Method for Differential Games,” Transactions of the Institute of Systems, Control and Information Engineers
, Vol. 25, pp.349-357, Dec. 2012.
M. Ito, D. McGibney, K. Sekiyama, H. Mukai
and T. Fukuda, “A Multiple Robot Cognitive Sharing System Using Audio and Video Sensor”, 2013 International Symposium on Micro-NanoMechatronics and Human Science, (MHS2013), 2013, pp345-348., Japan (Best paper award).
Title: Engineering, Science and Math Education for a Global, Technological Society
Sponsor: NSF (DGE-0538541)
Title: Advanced Nonlinear Filters for Missile Defense Application
Sponsor: MIT Lincoln Lab
Title: Partnerships for Math, Science, and Engineering Instruction through Computer Visualization
Sponsor: NSF (DGE-0138624)
Title: Agile Control Systems with Set State
Sponsor: DARPA (F30602-99-2-0551)
Title: Techniques for Large-Scale Optimization