Results 291 to 300 of about 730,247 (315)

On the Global Stability of Cooperative Systems

Bulletin of the London Mathematical Society, 1994
This paper considers a cooperative system of ordinary differential equations on a suitable domain in \(\mathbb{R}^ n\). We prove that the unique equilibrium is globally asymptotically stable if and only if every forward orbit has compact closure in the domain. We also generalize this result to the monotone flows on strongly ordered topological spaces.
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Global and Local Thermodynamic Stability

Journal of Non-Equilibrium Thermodynamics, 1999
An attempt to relate the local dynamics of the stability and the global behavior of thermodynamic stability is presented through the study of the heat conduction in an infinite unidimensional solid bar. The problem is solved analytically in order to conclude that the structures are independent of the sign of the perturbation and the show that the ...
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On the global stability of the lorentz system

Journal of Applied Mathematics and Mechanics, 1983
The author extends a method of iterated averages for investigating stability questions for ordinary differential equations. The main goal is to show that the existence and stability of quasi-periodic solutions is determined by the existence and conditional stability of a rest point of the associated iterated average system.
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Global stability of population models

Bulletin of Mathematical Biology, 1981
Local stability seems to imply global stability for population models. To investigate this claim, we formally define apopulation model. This definition seems to include the one-dimensional discrete models now in use. We derive a necessary and sufficient condition for the global stability of our defined class of models.
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On Global Stability of Planar Formations

IEEE Transactions on Automatic Control, 2013
Formation control is concerned with the design of control laws that stabilize agents at given distances from each other, with the constraint that an agent's dynamics only depends on a subset of other agents. We show in this technical note that a broad class of control laws fails to stabilize a simple formation with four agents.
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Global stability of congestion controllers for the internet

IEEE Transactions on Automatic Control, 2003
We consider a single link accessed by a single source which responds to congestion signals from the network. The design of controllers for such sources in the presence of feedback delay has received much attention recently. Here, we present conditions for the global, asymptotic stability and semiglobal exponential stability of congestion controllers ...
Supratim Deb, Rayadurgam Srikant
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Global stability of an economic model

2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
El-Metwally, H., YALÇINKAYA, İBRAHİM, ÇİNAR, CENGİZ   +2 more
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The Global Stability of Efficient Intertemporal Allocations

Econometrica, 1987
The author describes a continuous time model of an economy with finitely many infinitely lived consumers and a finite number of capital goods. Two objectives are achieved. First, recursive (nonadditive) utility functionals are formulated and analyzed.
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Global stability of

Applied Mathematics and Computation, 2006
Reza Mazrooei-Sebdani, Mehdi Dehghan
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Global stability of yn + 1 = A + ynyn−k

Applied Mathematics Letters, 2003
R Devault
exaly