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Nonlinear circle-criterion observers in discrete-time

2007 American Control Conference, 2007
Circle-criterion approach to discrete-time nonlinear observer design is presented. The new design method is mainly devoted to either bounded-state nonlinear systems or globally Lipschitz ones. The conditions of existence of globally converging observers are given in terms of a set of numerically tractable linear matrix inequalities.
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Nonlinear observers: a circle criterion design

Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304), 2003
We design observers for a class of systems with monotone sector nonlinearities. The resulting nonlinear estimation error system is represented as the feedback interconnection of a linear system and a time-varying multivariable sector nonlinearity. Using LMI software, an observer gain matrix is computed to satisfy the circle criterion and, hence, to ...
M. Arcak, P. Kokotovic
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Feasibility conditions for circle criterion designs

Systems & Control Letters, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Arcak, M., Kokotović, P.
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How conservative is the circle criterion?

1999
The following notation and terminology will be used. By a stable transfer function we mean a rational scalar transfer function G = G(z) with real coefficients and no poles in the area |z| ≥ 1. ‖G‖∞ denotes the so-called H-infinity norm of G, defined as $${\left\| G \right\|_\infty } = \mathop {\max }\limits_{\left| z \right| = 1} \left| {G(z ...
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The circle criterion and almost periodic inputs

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 2000
Summary: We give a stability theorem concerning the response of systems to inputs that are asymptotically almost periodic. We also apply our theorem to the governing integral equation of a large class of circuits containing a nonlinear capacitor. We find that circuits for which a certain critical-disk condition is met are up-stable in the sense that (a)
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Approximately finite memory and the circle criterion

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 1994
In recent work a complete characterization has been given of those input-output maps G that can be uniformly approximated by the maps of certain simple structures. The criterion is that G must satisfy certain continuity and approximately finite memory conditions.
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Parallel Delaunay triangulation based on circum-circle criterion

Proceedings of the 19th Spring Conference on Computer Graphics, 2003
This paper describes a newly proposed simple and efficient parallel algorithm for the construction of the Delaunay triangulation (DT) in E2 by randomized incremental insertion. The construction of the DT is one of the fundamental problems in computer graphics.
Josef Kohout, Ivana Kolingerová
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A generalisation of Niessen's limit-circle criterion

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1977
Synopsis Let S and T be formally symmetric ordinary differential operators defined on a real interval I . It is assumed that the order of S is constant and
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Strongly absolute stability problem of descriptor systems: Circle criterion

Journal of the Franklin Institute, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chunyu Yang 0001   +2 more
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The Circle Criterion and the $L^p$ Stability of Feedback Systems

SIAM Journal on Control and Optimization, 1982
It is shown that under certain mild assumptions the circle criterion of Sandberg and Zames implies the $L^p$ stability of a broad class of linear time-varying feedback systems for $1 \leqq p \leqq \infty $. Moreover, it is proved that if the input to the feedback configuration tends to zero then so does the output.
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