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Versions of Sontag's Input to State Stability Condition and Output Feedback Global Stabilization

, 1996
Tsinias, J
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Global asymptotic stability and global exponential stability of delayed cellular neural networks

IEEE Transactions on Circuits and Systems Part 2: Express Briefs, 2005
In this brief, many novel theorems and corollaries are presented regarding the global asymptotic stability and global exponential stability of cellular neural networks with constant and variable time delays. The stability conditions in the new results improve and generalize existing ones.
Jun Wang
exaly   +2 more sources

Global stability and stabilization of polynomial systems

2007 46th IEEE Conference on Decision and Control, 2007
The problem of global stability and stabilization of polynomial systems is considered. Using semi-tensor product of matrices, an easily verifiable sufficient condition for the positivity of multi-variable polynomials is proposed. Assume a candidate of Lyapunov function is a polynomial, the above result provides a sufficient condition for the global ...
Daizhan Cheng, Hongsheng Qi
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Global stability and external stability of dynamical systems

Nonlinear Analysis: Theory, Methods & Applications, 1997
The first part of this paper is devoted to systems of ordinary differential equations without inputs. The formal definition of global stability with respect to a region and characterization of global stability is given. Sufficient conditions for global stability in terms of Lyapunov function are obtained.
ANDRIANO V., BACCIOTTI, Andrea, BECCARI G.   +2 more
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Technology and Global Stability

IEEE Transactions on Systems, Man, and Cybernetics, 1982
A review of the links between technology and conflict is attempted as a means to provide insight useful to us in future linkages. Growth of technology and the use of technology to further humankind's goals is immutable. The past certainly appears to be a prologue to the future, and we are left with a series of questions as to a future with global ...
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Local and global aspects of almost global stability

Proceedings of the 45th IEEE Conference on Decision and Control, 2006
In this work we introduce several known and new results on almost global stability. We focus on how local properties of equilibrium points of dynamical systems are related to the existence of density functions and to the almost global stability property. We present some examples that illustrate those results.
Pablo Monzón, Rafael Potrie
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Global Stability of Beddington Model

Qualitative Theory of Dynamical Systems, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Global stability of the Burgers’ vortex

The Physics of Fluids, 1981
Global monotonic stability of the Burgers’ vortex is studied using the energy method, and it is shown that no finite critical viscosity exists for the problem. For bounded domains, a criterion is established which ensures that the energy of any perturbation of bounded support initially decreases.
Leibovich, S., Holmes, Philip
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Diagonal dominance and global stability

Mathematical Social Sciences, 2013
Abstract We show that a natural weakening of diagonal dominance resolves the incompatibility of its standard formulation with the tatonnement of competitive market economies in the presence of either zero-degree homogeneity or Walras’ Law. It thus yields global stability of such unnormalized tatonnement, in addition to normalized tatonnement, just as
Donald C. Keenan, Taewon Kim
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Morishima Systems and Global Stability

International Economic Review, 1990
In this paper, it is shown that a Morishima-type sign pattern on the Jacobian of excess demand, holding for all prices, assures system stability with respect to the normalized tatonnement process, starting from almost any price. Copyright 1990 by Economics Department of the University of Pennsylvania and the Osaka University Institute of Social and ...
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