| contributor author | Huang, Sunhua | |
| contributor author | Wang, Bin | |
| date accessioned | 2019-02-28T11:11:48Z | |
| date available | 2019-02-28T11:11:48Z | |
| date copyright | 1/10/2018 12:00:00 AM | |
| date issued | 2018 | |
| identifier issn | 1555-1415 | |
| identifier other | cnd_013_03_031003.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl1/handle/yetl/4253703 | |
| description abstract | This study is interested in the stability and stabilization of a class of fractional-order nonlinear systems with Caputo derivatives. Based on the properties of the Laplace transform, Mittag-Leffler function, Jordan decomposition, and Grönwall's inequality, some sufficient conditions that ensure local stability and stabilization of a class of fractional-order nonlinear systems under the Caputo derivative with 1<α<2 are presented. Finally, typical instances, including the fractional-order three-dimensional (3D) nonlinear system and the fractional-order four-dimensional (4D) nonlinear hyperchaos, are implemented to demonstrate the feasibility and validity of the proposed method. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Stability and Stabilization of a Class of Fractional-Order Nonlinear Systems for 1 < α < 2 | |
| type | Journal Paper | |
| journal volume | 13 | |
| journal issue | 3 | |
| journal title | Journal of Computational and Nonlinear Dynamics | |
| identifier doi | 10.1115/1.4038443 | |
| journal fristpage | 31003 | |
| journal lastpage | 031003-8 | |
| tree | Journal of Computational and Nonlinear Dynamics:;2018:;volume( 013 ):;issue: 003 | |
| contenttype | Fulltext | |