Development of iterative methods for construction of control model based on the projection method

2015 Fiscal Year Final Research Report

• Project/Area Number: 25870577
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Multi-year Fund
• Research Field: Foundations of mathematics/Applied mathematics; Computational science
• Research Institution: Akita Prefectural University
• Principal Investigator: Matsushita Shin-ya 秋田県立大学, システム科学技術学部, 准教授 (20435449)
• Project Period (FY): 2013-04-01 – 2016-03-31
• Keywords: 射影法 / 制約可能性問題 / 線形行列不等式

Outline of Final Research Achievements

This research aims to develop efficient iterative methods for solving problems in control theory. Since linear matrix inequalities which play an important role in system and control theory, can be formulated as convex feasibility problems, we studied iterative methods based on the projection method for convex feasibility problems. We investigated theoretical and numerical properties of the accelerated refection projection method, the Douglas-Rachford method and the Haugazeau-like method for the convex feasibility problem.

Free Research Field

数理工学