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Global finite-time stabilization for a class of stochastic nonlinear systems by dynamic state feedback

Weiqing Ai;  Junyong Zhai;  Shumin Fei — 2013

Kybernetika

This paper addresses the problem of global finite-time stabilization by dynamic state feedback for a class of stochastic nonlinear systems. Firstly, we show a dynamic state transformation, under which the original system is transformed into a new system. Then, a state feedback controller with a dynamic gain is designed for the new system. It is shown that global finite-time stabilization in probability for a class of stochastic nonlinear system under linear growth condition can be guaranteed by...

Global adaptive output-feedback control for switched uncertain nonlinear systems

Zhibao Song;  Junyong Zhai;  Hui Ye — 2017

Kybernetika

In this paper, we investigate the problem of global output-feedback regulation for a class of switched nonlinear systems with unknown linear growth condition and uncertain output function. Based on the backstepping method, an adaptive output-feedback controller is designed to guarantee that the state of the switched nonlinear system can be globally regulated to the origin while maintaining global boundedness of the resulting closed-loop switched system under arbitrary switchings. A numerical example...

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