ABSTRACTFrom 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.
['Hongzhu Wang', 'Tianqiu Yu', 'Jinmei Xiao']
Simultaneously stabilising controllers for time-varying linear systems within the framework of nest algebras