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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