Study on globally convergent algorithms for solving nonlinear systems using mathematical techniques

利用数学技术求解非线性系统的全局收敛算法研究

• 批准号: 18K04151
• 负责人: Yamamura Kiyotaka
• 金额: $ 2.83万
• 依托单位: Chuo University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2018
• 资助国家: 日本
• 起止时间: 2018-04-01 至 2023-03-31
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-18K04151/
• 关键词: 非線形理論・回路; 非線形数値解析; 大規模集積回路; 全解探索; 数理計画法; 整数計画法; ホモトピー法; 区間解析; 回路シミュレーション; 予測子修正子法; 非線形システム

项目成果

An efficient variable-gain homotopy method for finding DC operating points of transistor circuits

一种寻找晶体管电路直流工作点的高效可变增益同伦方法

• DOI: 10.1109/apccas.2018.8605634
• 发表时间: 2018
• 期刊: Proceedings of 2018 IEEE Asia Pacific Conference on Circuits and Systems
• 作者: Mohamed Mansour;Xavier Le Polozec and Haruichi Kanaya;賈立唯，藤森和博;Kiyotaka Yamamura and Takumi Shimada
• 通讯作者: Kiyotaka Yamamura and Takumi Shimada

Finding all characteristic curves of piecewise-linear resistive circuits using an integer programming solver

使用整数规划求解器查找分段线性电阻电路的所有特性曲线

• 发表时间: 2019
• 期刊: Proceedings of 2019 IEEE Workshop on Nonlinear Circuit Networks
• 作者: 中井彩乃;林 和則;Takumi Kuramoto and Kiyotaka Yamamura
• 通讯作者: Takumi Kuramoto and Kiyotaka Yamamura

An efficient method for finding all characteristic curves of piecewise-linear resistive circuits using integer programming

整数规划求分段线性电阻电路所有特性曲线的有效方法

• DOI: 10.1109/primeasia47521.2019.8950733
• 发表时间: 2019
• 期刊: Proceedings of 2019 IEEE Asia Pacific Conference on Postgraduate Research in Microelectronics and Electronics (PrimeAsia)
• 作者: 藤原拓也;田野 哲;侯 亜飛;Daisuke Umehara;Takumi Kuramoto and Kiyotaka Yamamura
• 通讯作者: Takumi Kuramoto and Kiyotaka Yamamura

Finding all solutions of piecewise-linear resistive circuits using rectangular and triangular LP tests

使用矩形和三角形 LP 测试查找分段线性电阻电路的所有解

• 发表时间: 2018
• 期刊: Proceedings of 2018 IEEE Workshop on Nonlinear Circuit Networks
• 作者: Mohamed M.Mansour;Xavier Le Polozecy;and Haruichi Kanaya;Kiyotaka Yamamura and Hiroki Takahara
• 通讯作者: Kiyotaka Yamamura and Hiroki Takahara

Finding all solutions of piecewise-linear resistive circuits using triangular LP test

使用三角 LP 测试查找分段线性电阻电路的所有解

• DOI: 10.1109/apccas.2018.8605636
• 发表时间: 2018
• 期刊: Proceedings of 2018 IEEE Asia Pacific Conference on Circuits and Systems
• 作者: R. Hayakawa;K. Hayashi;Shigeaki Kuzuoka;Kiyotaka Yamamura and Hiroki Takahara
• 通讯作者: Kiyotaka Yamamura and Hiroki Takahara