Studies on Robust Stabilization of Evolution Equations with Unbounded Output Operators and its Applications

2014 Fiscal Year Final Research Report

• Project/Area Number: 23540137
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: General mathematics (including Probability theory/Statistical mathematics)
• Research Institution: Kobe University
• Principal Investigator: SANO HIDEKI 神戸大学, システム情報学研究科, 教授 (70278737)
• Project Period (FY): 2011-04-28 – 2015-03-31
• Keywords: 混合定数系 / 移流拡散系 / 境界制御 / 境界観測 / 安定化 / 半群 / プラグフロー反応方程式 / 並流型熱交換方程式

Outline of Final Research Achievements

Through this study, five results were obtained. They are summarized as follows: (1) Stabilization of mixed parameter systems; (2) Output tracking control of a diffusion process and a parallel-flow heat exchange process; (3) Stability-enhancing control of a plug-flow reactor process and a parallel-flow heat exchange process; (4) Formation control using partial differential equations; (5) Stabilization of linear parabolic systems with internal feedback loop.

Free Research Field

偏微分方程式系の制御理論