Results 251 to 260 of about 1,017,685 (293)

Nonlinear observers: a circle criterion design and robustness analysis

Automatica, 2001
Globally convergent observers are designed for a class of systems with monotonic nonlinearities. The design presented removes the global Lipschitz restriction and avoids high gain. It makes two restrictions that allow the observer error system to satisfy the well-known multivariable circle criterion.
Murat Arcak, Petar V. Kokotovic
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Synchronization of nonlinearly coupled networks based on circle criterion

Chaos: An Interdisciplinary Journal of Nonlinear Science, 2021
The problem of synchronization in networks of linear systems with nonlinear diffusive coupling and a connected undirected graph is studied. By means of a coordinate transformation, the system is reduced to the form of mean-field dynamics and a synchronization-error system.
Sergei A. Plotnikov, Alexander L. Fradkov   +1 more
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Generalization of circle criterion

IEE-IERE Proceedings - India, 1969
Sufficient conditions for the stability of a linear system containing a time-varying gain are well-known. The results obtained by Brockett and Forys and by Gruber and Willems contain a local bound on the rate of variation of the gain. A short proof of the results of Gruber and Willems using the passive-operator technique is indicated here.
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On the Necessity of the Circle Criterion

IFAC Proceedings Volumes, 2003
Abstract The circle criterion claims that system v = G w , w = φ ( v , t ) is absolute stable in the class M of bounded nonlinearities: | ω ( v , t ) | / | ω ( v ) | ≤ 1 if ‖ G ‖ ∞ ≤ 1 . It’s well-known that this stability criterion is essentially sufficient. A.
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Steady-state errors and the circle criterion

Proceedings of the 33rd Midwest Symposium on Circuits and Systems, 2002
The authors address nonlinear control systems containing a memoryless nonlinear element and show that, when the circle condition for stability is met, corresponding propositions hold concerning the relationship between the nature of the error response and the system type.
I.W. Sandberg, K. Kramer Johnson
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On improving the circle criterion

1977 IEEE Conference on Decision and Control including the 16th Symposium on Adaptive Processes and A Special Symposium on Fuzzy Set Theory and Applications, 1977
In view of the large amount of attention which has been devoted to the circle criterion over the years it is surprising how little effort seems to have been devoted to improving the basic conditions which it gives for stability. In this paper we discuss a variety of methods for predicting stability for finite dimensional simple time varying feedback ...
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Delay-independent circle criterion and popov criterion

IFAC Proceedings Volumes, 2001
Abstract In the present paper are studied delay-independent versions of circle criterion and Popov criterion, for some nonlinear delay systenls with sector-bounded nonlinearities. Necessary and sufficient conditions are obtained in terms of solvability of linear matrix inequalities.
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An extension to the circle criterion

IEEE Transactions on Automatic Control, 1968
Recent developments in the formulation of Nyquist-type stability criteria by Desoer and Wu allow the formulation of an improved circle criterion. In particular, the impulse response of the linear time-invariant plant may include a step function (integrator) and an infinite sequence of impulses.
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Frequency domain evaluation of circle criterion, Popov criterion and off-axis circle criterion in the MIMO case

International Journal of Control, 1999
Many control applications can be described as non-linear feedback systems whose stability properties can, for example, be analysed with the circle criterion, the Popov criterion or the off-axis circle criterion. In the SISO case these sector criteria became very popular because of their simple graphic interpretations; the criteria's significance for ...
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The Circle Criterion for Synchronization in Nonlinearly Coupled Networks.

IFAC Proceedings Volumes, 2013
Abstract The problem of synchronization (consensus) in nonlinearly coupled network is addressed. The agents of the network are assumed to identical and linear, however, they may have arbitrary order and be unstable. The interaction topology may switch and the couplings are uncertain, assumed only to satisfy conventional quadratic constraints.
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