title: Controllability and observability of fractional linear systems with two different orders.
abstract: 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.
authors.affiliation: Department of Mathematics, Chuxiong Normal University, Chuxiong, Yunnan 675000, China.
authors.forename: Dengguo
authors.initials: D
authors.lastname: Xu
authors.affiliation: Department of Mathematics, Chuxiong Normal University, Chuxiong, Yunnan 675000, China.
authors.forename: Yanmei
authors.initials: Y
authors.lastname: Li
authors.affiliation: Department of Mathematics, Chuxiong Normal University, Chuxiong, Yunnan 675000, China.
authors.forename: Weifeng
authors.initials: W
authors.lastname: Zhou
mesh_terms: D016014:Linear Models; D008433:Mathematics; D012815:Signal Processing, Computer-Assisted; D013597:Systems Analysis; D013598:Systems Theory