Homogeneous Polynomial Forms for Simultaneous Stabilizability of Families of Linear Control Systems: A Tensor Product Approach

Altafini C.

首页> 外文期刊>IEEE Transactions on Automatic Control >Homogeneous Polynomial Forms for Simultaneous Stabilizability of Families of Linear Control Systems: A Tensor Product Approach

【24h】

Homogeneous Polynomial Forms for Simultaneous Stabilizability of Families of Linear Control Systems: A Tensor Product Approach

机译：线性控制系统系列同时稳定的齐次多项式形式：张量积方法

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

This note uses the formalism of tensor products in order to deal with the problem of simultaneous stabilizability of a family of linear control systems by means of Lyapunov functions which are homogeneous polynomial forms. While the feedback synthesis seems to be nonconvex, the simultaneous stability by means of homogeneous polynomial forms of the uncontrollable modes yields (convex) necessary but not sufficient conditions for simultaneous stabilizability.

机译：本说明使用张量积的形式主义，以利用齐次多项式形式的Lyapunov函数处理线性控制系统系列的同时稳定性问题。虽然反馈综合似乎是非凸的，但通过不可控模式的齐次多项式形式的同时稳定性会产生同时稳定的必要（但不充分）条件。

著录项

来源
《IEEE Transactions on Automatic Control》 |2006年第2006期|p.1566-1571|共6页
作者
Altafini C.;
展开▼
作者单位

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类自动化系统;
关键词
Common Lyapunov functions; homogeneous polynomial forms; robust stabilizability; tensor product; Common Lyapunov functions; homogeneous polynomial forms; robust stabilizability; tensor product;

机译：常见Lyapunov函数;齐次多项式形式;稳健性;张量积;公共Lyapunov函数;齐次多项式形式;稳健性;张量积;

相似文献

外文文献
中文文献
专利

1. Homogeneous Polynomial Forms for Simultaneous Stabilizability of Families of Linear Control Systems: A Tensor Product Approach [J] . Altafini C. IEEE Transactions on Automatic Control . 2006,第9期

机译：线性控制系统系列同时稳定的齐次多项式形式：张量积方法
2. L_2 stability, H_∞ control of switched homogeneous nonlinear systems and their semi-tensor product of matrices representation [J] . Zhang L., Zhang K. International Journal of Robust and Nonlinear Control . 2013,第6期

机译：切换齐次非线性系统的L_2稳定性，H_∞控制及其矩阵的半张量积
3. Stabilization of Nonlinear Systems Using Sampled-Data Output-Feedback Fuzzy Controller Based on Polynomial-Fuzzy-Model-Based Control Approach [J] . Lam H. K. Systems, Man, and Cybernetics, Part B: Cybernetics, IEEE Transactions on . 2012,第1期

机译：基于多项式-模糊模型的控制方法基于采样数据输出-反馈模糊控制器的非线性系统镇定
4. Homogeneous Polynomial Forms for Simultaneous Stabilizability of Families of Linear Control Systems: a Tensor Product Approach [C] . Altafini, C. . 2006

机译：线性控制系统族群同时稳定的齐次多项式形式：张量积方法
5. A functorial approach to linkage and the asymptotic stabilization of the tensor product. [D] . Russell, Jeremy. 2013

机译：张量积的链接和渐近稳定的函数方法。
6. Continuous uniformly finite time exact disturbance observer based control for fixed-time stabilization of nonlinear systems with mismatched disturbances [O] . Junkang Ni, Chongxin Liu, Hang Liu -1

机译：基于连续一致有限时间精确干扰观测器的非线性系统的时滞稳定控制
7. 1Homogeneous Polynomial Forms for Simultaneous Stabilizability of Families of Linear Control Systems: a Tensor Product Approach [O] . Claudio Altafini 2016

机译：线性控制系统族同时可稳定性的多重多项式形式：张量积方法
8. Stabilization of Polynomially Parametrized Families of Linear Systems. The Single-Input Case [R] . Bumby, R. T., Sontag, E. D. 1983

机译：线性系统多项式参数化族的镇定。单输入案例

Homogeneous Polynomial Forms for Simultaneous Stabilizability of Families of Linear Control Systems: A Tensor Product Approach

摘要

著录项

相似文献

相关主题

期刊订阅