Results 261 to 270 of about 3,469,993 (296)

On the absolute stability criterion

Proceedings of the IEEE, 1980
A feedback system comprising a single nondynamic non-linear link is described by the same relations as a passive circuit consisting of a linear two pole and nonlinear resistor and inductor connected in series, if the current dependences of the voltage on the resistor and of the magnetic flux produced by the inductor are inverse functions compared to ...
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Robustness of absolute stability†

International Journal of Control, 1981
The stability of a class of single-input, single-output singularly perturbed systems formed by a linear time-invariant feedforward block with a sector bounded time varying feedback is considered. It is shown that if the reduced order ‘ slow ’ subsystem is absolutely stable and the parasitics are asymptotically stable and sufficiently fast then the full
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Absolute Stability Theory and the Synchronization Problem

International Journal of Bifurcation and Chaos, 1997
Several results on synchronization by Pecora and Carroll [1991], Cuomo and Oppenheim [1993] and Wu and Chua [1994] are evaluated in the context of absolute stability theory, with significant generalizations being achieved. A robustness property of the resulting synchronization criteria is established.
Curran, P. F., Chua, L. O.
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On an Absolute Constant in the Theory of Variational Stability

American Journal of Mathematics, 1937
this equation being the characteristic equation of a real binary linear substitution of determinant 1. If A is not a multiple of Tiri, it is clear that the two solutions (2) are linearly independent. If X is a multiple of Tiri, it depends on the elementary divisors of that binary substitution whether or not the general solution of (1) is free of ...
van Kampen, E. R., Wintner, Aurel
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Robust absolute stability of continuous systems

International Journal of Robust and Nonlinear Control, 1992
Abstract The problem of stability of continuous‐time nonlinear systems with nonparametric uncertainty of a linear part and sector uncertainty of its nonlinear part is considered. The proposed robust stability criterion is a natural extension of the circle criterion for absolute stability.
Tsypkin, Ya. Z., Polyak, B. T.
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Early ideas of the absolute stability theory

2020 European Control Conference (ECC), 2020
Absolute stability theory is an important and historically the first systematic part of automatic control theory. The ideas and methods developed by its founders influenced subsequent development of nonlinear control, robust control, etc. In this paper the early ideas of the absolute stability and their development are outlined.
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Necessity in quadratic criterion for absolute stability

International Journal of Robust and Nonlinear Control, 2000
Summary: In the main part of this paper we consider a linear system together with some integral quadratic constraints. It is known that many nonlinearities encountered in practice satisfy such constraints. A criterion for absolute stability of this system is formulated and proved.
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Absolute Stability of Hopfield Neural Network

2006
This paper presents some new results for the absolute stability of Hopfield neural networks with activation functions chosen from sigmoidal functions which have unbounded derivatives. Detailed discussions are also given to the relation and difference of absolute stabilities between neural networks and Lurie systems with multiple nonlinear controls ...
Xiaoxin Liao, Fei Xu 0007, Pei Yu
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On absolute stability of differential-delay systems

IEEE Transactions on Automatic Control, 1994
Summary: A nonlinear differential-delay system with many nonlinearities is studied. A new absolute stability criterion is derived.
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Absolute and asymptotic stability of closed sets

Funkcialaj Ekvacioj, 1983
A closed subset of a locally compact metric space is absolutely stable iff it is the zero set for a Lyapunov function. The author shows that the same result holds for proper closed subsets of a connected Hausdorff space. A similar condition, called asymptotic stability, is shown to imply that the Lyapunov function can be chosen to tend to zero along ...
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