Articles | Volume 15, issue 1
https://doi.org/10.5194/ms-15-183-2024
https://doi.org/10.5194/ms-15-183-2024
Research article
 | 
19 Mar 2024
Research article |  | 19 Mar 2024

Improved strategies of the Equality Set Projection (ESP) algorithm for computing polytope projection

Binbin Pei, Wenfeng Xu, and Yinghui Li

Related subject area

Subject: Dynamics and Control | Techniques and Approaches: Mathematical Modeling and Analysis
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Cited articles

Avis, D.: Computational experience with the reverse search vertex enumeration algorithm, Optim. Method. Softw., 10, 107–124, https://doi.org/10.1080/10556789808805706, 1998. a
Balas, E.: Projection with a minimal system of inequalities, Comput. Optim. Appl., 10, 189–193, https://doi.org/10.1023/a:1018368920203, 1998. a
Balas, E. and Oosten, M.: On the dimension of projected polyhedra, Discrete Appl. Math., 87, 1–9, https://doi.org/10.1016/s0166-218x(98)00096-1, 1998. a, b
Borrelli, F., Bemporad, A., and Morari, M.: Predictive Control for Linear and Hybrid Systems, Cambridge University Press, New York, https://doi.org/10.1017/9781139061759, 2017. a, b
Fukuda, K. and Prodon, A.: Double description method revisited, Springer, Berlin, https://doi.org/10.1007/3-540-61576-8_77, 1996. a
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Short summary
Projection is one of the most fundamental operations of polytopes, and it is widely used in the field of control and optimization. The Equality Set Projection algorithm is a promising method for projection calculation, but it has some shortcomings under the condition of dual degeneracy In this paper. Two improvements are presented to make the Equality Set Projection algorithm become simpler, faster, and easier to implement in the case of dual degeneracy.