Equi-normalized robust positively invariant sets for linear difference inclusions

被引：0

作者：

Raković, Saša V. ^{[1
]}

Trodden, Paul ^{[2
]}

机构：

[1] Beijing Institute of Technology, Beijing, China

[2] The University of Sheffield, Sheffield, United Kingdom

来源：

Automatica | 2025年 / 171卷

关键词：

Consensus algorithm - Integer linear programming - Optimization algorithms;

D O I：

10.1016/j.automatica.2024.111930

中图分类号：

学科分类号：

摘要：

This note establishes the characterization, existence and uniqueness of equi-normalized polytopic robust positively invariant sets for linear difference inclusions. The computation of this set results in a nonconvex optimization problem. Although this may be reformulated exactly as a mixed integer linear programme, we propose a more practical and tractable alternative in the form of a fixed-point iteration based on linear programming. Convergence of the algorithm is established. © 2024 Elsevier Ltd

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