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Communications and signal processing

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Analysis And Synthesis Of Nonlinear Control Systems , Shan Lin Jan 1996

Analysis And Synthesis Of Nonlinear Control Systems , Shan Lin

Retrospective Theses and Dissertations

In this dissertation, regular nonlinear control systems of the form .x=X0(x)+[sigma]spi=1m uiXi(x) are considered. Necessary and sufficient conditions are given for a point to be reached from one of its entire neighborhoods in finite time by a piece-wise analytic feedback controller. Under such a feedback controller, the domain of attraction of the point is maximal. In particular, necessary and sufficient conditions on stabilization of a point or a periodic orbit in two dimension flat space are given. Moreover, practical examples are discussed and some interesting results are derived. Finally, when one dimensional systems are ...