A homogeneous domination approach for global output feedback stabilization of a class of nonlinear systems

By Chunjiang Qian. Proceedings of the 2005, American Control Conference, 2005., 2005

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Global control of nonlinear systems with uncertain output function using homogeneous domination approach (2012, methodology): “Instead of using the tools developed in [21–24] for the state feedback stabilizer, we will utilize the homogeneous domination approach [14] to design the controller and observer.”
Technical communique: Global practical tracking of a class of nonlinear systems by output feedback (2007, methodology): “(1992) and Qian and Lin (2002). To the best of our knowledge, most existing global output regulation/tracking results cannot allow the unmeasurable states to grow faster than linearly.”
A generalized homogeneous domination approach for global stabilization of inherently nonlinear systems via output feedback (2007, methodology): “Such a formalism will allow for more complex nonlinearities than those seen in [15, 17, 18], and in fact, generalizes the homogeneous domination approach introduced by Qian [15].”
Homogeneous Approximation, Recursive Observer Design, and Output Feedback (2008, methodology): “Compared to already published results (see [12] and [26], for instance), the novelty is in the simultaneous presence of the terms |xj | 1−d0(n−i−1) 1−d0(n−j) and |xj | 1−d∞(n−i−1) 1−d∞(n−j) .”