Formulation of control theory for nonlinear dynamics making full use of structural and quantitative information

充分利用结构和定量信息制定非线性动力学控制理论

• 批准号: 19560446
• 负责人: ITO Hiroshi
• 金额: $ 2.91万
• 依托单位: Kyushu Institute of Technology
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2007
• 资助国家: 日本
• 起止时间: 2007 至 2009
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19560446/
• 关键词: 制御工学; 非線形システム; ダイナミクス; 制御理論; 安定論

Technologies are advancing toward global and micro objects. In the second half of the 20th century, we looked at sizes in which we could ignore diversity and develop technologies in a straight and uniform (linear) manner. The key to the technological revolution is to tackle an unlimited variety of dynamics which is neither straight nor uniform (nonlinear). To bring about a great change in control engineering whose recent trend has been to focus only on quantitative values in standardized process, this research has developed a fundamental framework for stability theory of nonlinear dynamics, which enables us to integrate quantitative and qualitative information. This interdisciplinary tool helps us solve important dynamics design problems which have remained unsolved.

技术正在向全球和微观物体发展。在 20 世纪下半叶，我们研究了可以忽略多样性并以直线和统一（线性）方式开发技术的规模。技术革命的关键是解决无限多种既不是直线也不是均匀（非线性）的动力学。为了给控制工程带来巨大的变化，控制工程的最新趋势是只关注标准化过程中的定量值，本研究开发了非线性动力学稳定性理论的基本框架，使我们能够整合定量和定性信息。这个跨学科工具帮助我们解决尚未解决的重要动力学设计问题。

项目成果

iISS and ISS of CDMA power control with respect to disturbances in the presence of delays: A Lyapunov-Krasovskii approach

存在延迟时干扰下的 CDMA 功率控制的 iISS 和 ISS：Lyapunov-Krasovskii 方法

• 发表时间: 2010
• 作者: Hiroshi Ito;Hiroto Suzuki;Shunji Taketomi
• 通讯作者: Shunji Taketomi

A solution to the state-dependent scaling problem for a cyclic network of iISS systems and its Lyapunov function

iISS系统循环网络状态相关标度问题及其Lyapunov函数的解

• 发表时间: 2009
• 作者: 鈴木啓人;武富俊至;伊藤博;Hiroshi Ito
• 通讯作者: Hiroshi Ito

Lyapunov functions for networks of asymmetrically iISS systems and circadian osoillations

非对称 iISS 系统网络和昼夜节律振荡的 Lyapunov 函数

• 发表时间: 2008
• 作者: Hiroshi Ito;Pierdomenico Pepe;Zhong-Ping Jiang;Hiroshi Ito;Hiroshi Ito
• 通讯作者: Hiroshi Ito

Small-gain conditions and Lyapunov functions applicable equally to iISS and ISS systems without uniformity assumption

小增益条件和 Lyapunov 函数同样适用于 iISS 和 ISS 系统，无需均匀性假设

• 发表时间: 2008
• 作者: Hiroshi Ito;Zhong-Ping Jiang
• 通讯作者: Zhong-Ping Jiang

Bilaterally flexible Lyapunov inequalities for nonlinear smal1-gain method covering iISS systems

覆盖 iISS 系统的非线性小增益方法的双边柔性 Lyapunov 不等式

• 发表时间: 2008
• 作者: Hiroshi Ito;Pierdomenico Pepe;Zhong-Ping Jiang;Hiroshi Ito;Hiroshi Ito;Hiroshi Ito;Hiroshi Ito
• 通讯作者: Hiroshi Ito