Approximation of convex bodies by multiple objective optimization and an application in reachable sets-Reference-Cited by-同舟云学术

Approximation of convex bodies by multiple objective optimization and an application in reachable sets

Published:2018-01-28 Issue:6 Volume:67 Page:783-796
ISSN:0233-1934
Container-title:Optimization
language:en
Short-container-title:Optimization

Author:

Shao Lizhen¹,Zhao Fangyuan²,Cong Yuhao³

Affiliation:

1. School of Automation and Electrical Engineering, University of Science and Technology Beijing , Beijing, China.

2. Department of Mathematics, Friedrich-Schiller-Universität Jena , Jena, Germany.

3. Department of Mathematics, Shanghai University , Shanghai, China.

Funder

National Natural Science Foundation of China

Natural Science Foundation of Beijing Municipality

Beijing Natural Science Foundation

Publisher

Informa UK Limited

Subject

Applied Mathematics,Management Science and Operations Research,Control and Optimization

Link

https://www.tandfonline.com/doi/pdf/10.1080/02331934.2018.1426583

Reference21 articles.

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2. Polygonal approximation of plane convex bodies

3. Kamenev GK . A class of adaptive algorithms for approximating convex bodies by polyhedra. Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki. Comput Math Math Phys. 1992;32(1):136–152.

4. Duality theory of optimal adaptive methods for polyhedral approximation of convex bodies

5. The modified method of refined bounds for polyhedral approximation of convex polytopes

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