图书馆订阅: Guest
自动化与信息科学期刊

每年出版 12 

ISSN 打印: 1064-2315

ISSN 在线: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

Indexed in

On Solving of a Special Optimization Problem Connected with Determination of Invariant Sets of Dynamical Systems

卷 47, 册 5, 2015, pp. 69-77
DOI: 10.1615/JAutomatInfScien.v47.i5.60
Get accessGet access

摘要

Problem of nonconvex optimization, which is met on control synthesis and minimizes domain of localization of invariant set of nonlinear systems, is considered. For this problem solving we use equivalent to it quadratic problem, for determination of the lowest estimate of optimal value of the objective function dual approach is used. We state and prove sufficient condition for the property that the mentioned approach gives optimal value of the objective function and the point of global extremum of the initial problem.

对本文的引用
  1. Berezovskyi O. A., Exactness Criteria for SDP-Relaxations of Quadratic Extremum Problems, Cybernetics and Systems Analysis, 52, 6, 2016. Crossref

  2. Berezovskyi Oleg, Improving Lagrange Dual Bounds for Quadratic Extremal Problems, Cybernetics and Computer Technologies, 1, 2020. Crossref

  3. Berezovskyi O. A., Exact Dual Bounds for Some Nonconvex Minimax Quadratic Optimization Problems, Cybernetics and Systems Analysis, 57, 1, 2021. Crossref

Begell Digital Portal Begell 数字图书馆 电子图书 期刊 参考文献及会议录 研究收集 订购及政策 Begell House 联系我们 Language English 中文 Русский Português German French Spain