Xu Dengguo, Li Yanmei, Zhou Weifeng
Department of Mathematics, Chuxiong Normal University, Chuxiong, Yunnan 675000, China.
ScientificWorldJournal. 2014 Jan 20;2014:618162. doi: 10.1155/2014/618162. eCollection 2014.
This paper is concerned with the controllability and observability for a class of fractional linear systems with two different orders. The sufficient and necessary conditions for state controllability and state observability of such systems are established. The results obtained extend some existing results of controllability and observability for fractional dynamical systems.
本文关注一类具有两个不同阶数的分数阶线性系统的可控性和可观性。建立了此类系统状态可控性和状态可观性的充分必要条件。所得结果扩展了分数阶动力系统可控性和可观性的一些现有结果。