Spatio-temporal Pattern Control of Diffusively Coupled Systems in Discrete/Continuous Space

2016 Fiscal Year Final Research Report

• Project/Area Number: 26420424
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Control engineering/System engineering
• Research Institution: Tokyo Metropolitan University
• Principal Investigator: Oguchi Toshiki 首都大学東京, 理工学研究科, 准教授 (50295474)
• Project Period (FY): 2014-04-01 – 2017-03-31
• Keywords: 制御理論 / 複雑系 / 同期 / 非線形システム / パターン形成 / ネットワーク系

Outline of Final Research Achievements

To develop control strategies for spatio-temporal patterns in diffusively coupled nonlinear systems, we considered control design methods for spatio-temporal patterns in diffusively coupled systems in discrete or continuous space. Throughout this research project, we obtained the following results:
1. For large-scale network systems created by taking a couple of graph products of networks, we derived an estimation method of partial synchronization patterns emerging in the networks and the corresponding synchronization condition. 2. For network systems with transmission delay couplings, we show the relationship between delay-independent full or partial synchronization and network topology. 3. We proposed a control design method for nonlinear partial differential equation systems via ultra-discretization.

Free Research Field

制御工学