Global stability and robustness analysis of oscillators with application to biology and robotics

振荡器的全局稳定性和鲁棒性分析及其在生物学和机器人技术中的应用

• 批准号: EP/E02761X/1
• 负责人: Jorge Goncalves
• 金额: $ 37.68万
• 依托单位: University of Cambridge
• 依托单位国家: 英国
• 项目类别: Research Grant
• 财政年份: 2007
• 资助国家: 英国
• 起止时间: 2007 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=EP%2FE02761X%2F1
• 关键词: Global; stability; robustness; analysis; oscillators

In this research project, we propose the creation of two new global analysis methodologies which can be seen as part of a first set of elements and tools for obtaining a general system theory for oscillators. These methodologies will then be used to implement two algorithms aimed at numerically proving existence and global asymptotic stability of limit cycle oscillations generated by complex (high dimensional) models of oscillators, and at studying their robustness and parameter sensitivity. The new methodologies that we propose to explore in depth in this project will rely on the recent research results of the PI and the RA. The first methodology will generalise the piecewise linear systems numerical analysis methodology developed by the PI. On the other hand, the second methodology will explore the possibility of reformulating all dissipativity conditions appearing in the passive oscillator theorems proposed by the RA in terms of Integral Quadratic Constraints for which efficient numerical verification algorithms already exist.

在这个研究项目中，我们建议创建两种新的全局分析方法，它们可以被视为获得振荡器一般系统理论的第一组元素和工具的一部分。然后，这些方法将用于实现两种算法，旨在数值证明由复杂（高维）振荡器模型生成的极限环振荡的存在性和全局渐近稳定性，并研究其鲁棒性和参数敏感性。我们建议在本项目中深入探索的新方法将依赖于 PI 和 RA 的最新研究成果。第一种方法将概括 PI 开发的分段线性系统数值分析方法。另一方面，第二种方法将探索根据已经存在有效数值验证算法的积分二次约束重新表述 RA 提出的无源振荡器定理中出现的所有耗散条件的可能性。

项目成果

Global asymptotic stability of the limit cycle in piecewise linear versions of the Goodwin oscillator

古德温振荡器分段线性版本中极限环的全局渐近稳定性

• 发表时间: 2008
• 作者: A Salinas-Varela

Apoptosis characterizes immunological failure of HIV infected patients

• DOI: 10.1016/j.conengprac.2009.01.001
• 发表时间: 2009-07
• 期刊: Control Engineering Practice
• 影响因子: 4.9
• 作者: Marie-José Mhawej;C. Brunet-François;R. Fonteneau;D. Ernst;V. Ferré;G. Stan;F. Raffi;C. Moog

A Linear Programming Approach to Parameter Fitting for the Master Equation

主方程参数拟合的线性规划方法

• DOI: 10.1109/tac.2009.2029307
• 发表时间: 2009
• 期刊: IEEE Transactions on Automatic Control
• 影响因子: 6.8
• 作者: Martins N