|
|||||
|
|
Inverse Lyapunov Theorem for Linear Time Invariant Fractional Order Systems |
|
| Authors: | Liang Shu Liang Yinshan |
| Institution: | 1.Key Laboratory of Knowledge Automation for Industrial Processes of Ministry of Education, School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing, 100083, China ;2.Institute of Information Spreading Engineering, Changchun University of Technology, Changchun, 130012, China ; |
| Abstract: | This paper investigates the inverse Lyapunov theorem for linear time invariant fractional order systems. It is proved that given any stable linear time invariant fractional order system, there exists a positive definite functional with respect to the system state, and the first order time derivative of that functional is negative definite. A systematic procedure to construct such Lyapunov candidates is provided in terms of some Lyapunov functional equations. |
| Keywords: | |
| 本文献已被 CNKI SpringerLink 等数据库收录！ | |