The Method of Orienting Curves for Finding Optimal Paths in Restricted Areas

Hoang Xuan Phu

Institute of Mathematics, Vietnamese Academy of Science and Technology

Friday, September 15, 2017, 10:30 - 11:30

Room 02-012, Georges-Köhler Allee 102, Freiburg 79110, Germany

The method of orienting curves, which was developed for solving optimal control problems with state constraints, is presented together with some applications, such as:

- a Steiner's problem of finding an inpolgon with minimal circumference,

- a Zermelo's navigation problem,

- optimal control of a hydroelectric power plant,

- an inventory problem,

- time-optimal control of manipulator along a prescribed trajectory.

Moreover, we also mention some applications of this method in Computational Geometry.

About the speaker:

Hoang Xuan Phu is a Professor at Institute of Mathematics, Vietnam Academy of Science and Technology (VAST) in Hanoi, Vietnam. He is a Corresponding Member of the Heidelberg Academy of Sciences and Humanities, the Bavarian Academy of Sciences and Humanities, and a Fellow of TWAS, The World Academy of Sciences. He received his Diploma, Doctorate, and Habilitation (Dr. sc. nat.) in Mathematics respectively in 1979, 1983, and 1987, all from University of Leipzig, Germany. His research interests are Optimization and Optimal Control, Functional Analysis, Numerical Analysis, Rough Analysis, and related applications. He is serving as the Editor-in-Chief of the Vietnam Journal of Mathematics (VJM). He is also in the Editorial Board of a number of journals in mathematics and optimization. For more information please visit