title: State-dependent switching control of switched positive fractional-order systems.
abstract: In this paper, the problem of switching stabilization for a class of continuous-time switched positive fractional-order systems is studied by using state-dependent switching. First, the asymptotic stability condition of switched positive fractional-order systems with state-dependent switching is given, which is based on the fractional co-positive Lyapunov method. Moreover, by the sliding sector method, the stability condition of switched positive fractional-order systems whose subsystems are possibly all unstable is obtained. A variable structure (VS) switching law with sliding sector is also proposed to guarantee the switched positive fractional-order system to be asymptotically stable. Finally, two numerical examples are given to demonstrate the advantages and effectiveness of our developed results.
authors.affiliation: College of Engineering, Bohai University, Jinzhou, Liaoning 121013, China; Chongqing SANY High-Intelligent Robots Co., Ltd., Chongqing 401120, China. Electronic address: xdzhaohit@gmail.com.
authors.forename: Xudong
authors.initials: X
authors.lastname: Zhao
authors.affiliation: College of Engineering, Bohai University, Jinzhou, Liaoning 121013, China. Electronic address: yyfeillei@gmail.com.
authors.forename: Yunfei
authors.initials: Y
authors.lastname: Yin
authors.affiliation: College of Engineering, Bohai University, Jinzhou, Liaoning 121013, China. Electronic address: zxldwlsj@gmail.com.
authors.forename: Xiaolong
authors.initials: X
authors.lastname: Zheng
keywords: Fractional-order systems; Positive system; Sliding sector; State-dependent switching; Variable structure