Robust Finite-Time Stability and Stabilization of a Class of Fractional-Order Switched Nonlinear Systems  

作　　者：MAI Viet Thuan DINH Cong Huong 

机构地区：[1]Department for Management of Science and Technology Development,Ton Due Thang University,Ho Chi Minh City,Vietnam [2]Faculty of Mathematics and Statistics,Ton Due Thang University,Ho Chi Minh City,Vietnam [3]Department of Mathematics,Quynhon University,Binhdinh,Vietnam

出　　处：《Journal of Systems Science & Complexity》2019年第6期1479-1497,共19页系统科学与复杂性学报（英文版）

基　　金：funded by the Ministry of Education and Training of Vietnam under Grant No.TN-487,led by Assoc.Prof.Phan Thanh Nam,Quy Nhon University,Decision number 5650/QDBGDDT 28/12/2018

摘　　要：This paper deals with the problem of finite-time boundedness and fin计e-time stabilization boundedness of frax?tional-order switched nonlinear systems with exogenous inputs.By constructing a simple Lyapunov-like function and using some properties of Caputo derivative,the authors obtain some new sufficient conditions for the problem via linear matrix inequalities,which can be efficiently solved by using existing convex algorithms.A constructive geometric is used to design switching laws amongst the subsystems.The obtained results are more general and useful than some existing works,and cover them as special cases,in which only linear fractional-order systems were presented.Numerical examples are provided to demonstrate the effectiveness of the proposed results.This paper deals with the problem of finite-time boundedness and finite-time stabilization boundedness of fractional-order switched nonlinear systems with exogenous inputs. By constructing a simple Lyapunov-like function and using some properties of Caputo derivative, the authors obtain some new sufficient conditions for the problem via linear matrix inequalities, which can be efficiently solved by using existing convex algorithms. A constructive geometric is used to design switching laws amongst the subsystems. The obtained results are more general and useful than some existing works, and cover them as special cases, in which only linear fractional-order systems were presented. Numerical examples are provided to demonstrate the effectiveness of the proposed results.

关 键 词：Caputo fractional-order derivative finite-time boundedness fractional-order switched systems linear matrix inequalities 

分 类 号：O17[理学—数学]