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Construction of Control Lyapunov Functions for a Class of Nonlinear Systems 被引量:5

Construction of Control Lyapunov Functions for a Class of Nonlinear Systems
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摘要 The construction of control Lyapunov functions for a class of nonlinear systems is considered. We develop a method by which a control Lyapunov function for the feedback linearizable part can be constructed systematically via Lyapunov equation. Moreover, by a control Lyapunov function of the feedback linearizable part and a Lyapunov function of the zero dynamics, a control Lyapunov function for the overall nonlinear system is established. The construction of control Lyapunov functions for a class of nonlinear systems is considered. We develop a method by which a control Lyapunov function for the feedback linearizable part can be constructed systematically via Lyapunov equation. Moreover, by a control Lyapunov function of the feedback lineaxizable part and a Lyapunov function of the zero dynamics, a control Lyapunov function for the overall nonlinear system is established.
出处 《自动化学报》 EI CSCD 北大核心 2006年第5期796-799,共4页 Acta Automatica Sinica
基金 Supported by Natural Science Foundation of Zhejiang Province P. R. China (Y105141)Natural Science Foundation of Fujian Province P.R.China (A0510025)Technological Project of Zhejiang Education Department,P. R. China(20050291)
关键词 Nonlinear systems control Lyapunov functions semiglobal stabilization zero dynamics. Nonlinear systems, control Lyapunov functions, semiglobal stabilization, zero dynamics.
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