Convergence of Nonlinear Observers on $\BBR^{n}$ With a Riemannian Metric (Part I)
نویسندگان
چکیده
منابع مشابه
Convergence of Nonlinear Observers on R^n with a Riemannian Metric (Part I)
We study how convergence of an observer whose state lives in a copy of the given system’s space can be established using a Riemannian metric. We show that the existence of an observer guaranteeing the property that a Riemannian distance between system and observer solutions is nonincreasing implies that the Lie derivative of the Riemannian metric along the system vector field is conditionally n...
متن کاملConvergence of Nonlinear Observers on R with a Riemannian Metric (Part I)
We study how convergence of an observer whose state lives in a copy of the given system’s space can be established using a Riemannian metric. We show that the existence of an observer guaranteeing the property that a Riemannian distance between system and observer solutions is nonincreasing implies that the Lie derivative of the Riemannian metric along the system vector field is conditionally n...
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In [1], it is established that a convergent observer with an infinite gain margin can be designed for a given nonlinear system when a Riemannian metric showing that the system is differentially detectable (i.e., the Lie derivative of the Riemannian metric along the system vector field is negative in the space tangent to the output function level sets) and the level sets of the output function a...
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The concept of I–convergence is an important generalization of statistical convergence which depends on the notion of an ideal I of subsets of the set N of positive integers. In this paper we introduce the ideas of I–Cauchy and I∗–Cauchy sequences in cone metric spaces and study their properties. We also investigate the relation between this new Cauchy type condition and the property of complet...
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ژورنال
عنوان ژورنال: IEEE Transactions on Automatic Control
سال: 2012
ISSN: 0018-9286,1558-2523
DOI: 10.1109/tac.2011.2179873