Global Stability of a Class of Nonlinear Systems via State-Dependent Riccati Equation Strategy
Autor: | Peng, Fang-I, 彭芳儀 |
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Rok vydání: | 2015 |
Druh dokumentu: | 學位論文 ; thesis |
Popis: | 103 This thesis addresses the globally asymptotic stability issues for a class of second-order nonlinear systems and a class of two second-order nonlinear systems using the state-dependent Riccati equation (SDRE) approach. First, with the help of multiple Lyapunov functions (MLFs) technique, it will be shown that the considered class of second-order system is always globally asymptotically stable (GAS) by suitable choosing state-dependent coefficient (SDC) matrices. Next, by appropriate selecting the SDC matrices, we explicitly write down the analytic solution of the associated SDRE for the considered two second-order nonlinear systems and then explore the global stability condition using a specific Lyapunov function and LaSalle's invariant set theorem. Finally, the analytic results are illustrated by several examples. |
Databáze: | Networked Digital Library of Theses & Dissertations |
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