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This paper considers the stabilization problem of nonlinear systems with center manifold (center systems). A new method based on (system) immersion and (manifold) invariance (I&I) is introduced to stabilize the center systems. One of the key steps is to define a target dynamics whose order should be strictly smaller than that of the system to be controlled.(More)
—Finite-time stability is different from traditional stability, which can be mainly shown in two aspects. Firstly, it s research focuses on the state actions of a system in finite tim e. So, when we study whether a system is finite-time stable, we should give a time interval in advance. Generally, stability res earch considers a system's state actions(More)
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