Global Stability of a Class of Nonlinear Systems via State-Dependent Riccati Equation Strategy

Autor:	Peng, Fang-I, 彭芳儀
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
Externí odkaz:	http://ndltd.ncl.edu.tw/handle/c5zbe9 Zobrazit plný text záznamu