- 2021 - 2026 Stability Analysis and Optimal Synthesis of Recurrent Neural Networks by Conic Programming
- 2020 - 2024 Theory and algorithms for ill-conditioned conic linear programming
- 2018 - 2021 Construction of Control Theory for Positive Systems Using Conic Programming
- 2017 - 2020 Duality on Optimization and Control Theories
- 2013 - 2017 Analysis of Large Scale Interconnected Positive Systems and Its Application to Social System Design
- 2009 - 2012 Exact Solution Method for Robust Semidefinite Programming Problemsand Its Application to Control System Synthesis
- 2009 - 2011 Robust Optimization for Robust/Nonlinear Control Problems with Nonlinear Structures
- 2006 - 2008 Analysis and Synthesis of Robust Control Systems based on Semidefinite Programming and Duality Theory
- 2003 - 2005 数値最適化手法を用いた制御系設計の基盤をなす行列不等式に関する研究
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