화학공학소재연구정보센터
International Journal of Control, Vol.86, No.10, 1757-1765, 2013
Average Floquet factorisations in linear continuous-time periodic systems
The paper examines existence and properties about average Floquet factorisations, determined via average integration instead of matrix logarithms, for the transition matrices of finite-dimensional linear continuous-time periodic (FDLCP) systems. We talk about the following aspects about average Floquet factorisations: existence conditions, properties and relationships with the conventional Floquet factorisations. We reveal that average scaling and modelling may be incomplete or even incorrect for reflecting dynamics in general FDCLP systems, compared to the Floquet factorisations defined through matrix logarithms.