Simultaneously stabilising controllers for time-varying linear systems within the framework of nest algebras

作者：Hongzhu Wang, Tianqiu Yu, Jinmei Xiao · 发表于：International Journal of Control · 年份：2016 · DOI：10.1080/00207179.2016.1144235 · 被引用次数：2 · 研究领域：Stability and Control of Uncertain Systems、Numerical methods for differential equations、Matrix Theory and Algorithms

From the perspective of strong transitivity, a controller design method is provided to simultaneously stabilise a collection of time-varying linear systems within the framework of nest algebras. In particular, all simultaneously stabilising controllers for a class of linear plants are characterised based on the doubly coprime factorisations. These results hold as well in the time-invariant case. An illustrative example is given to demonstrate the validity of the method.