Results 291 to 300 of about 2,378,174 (337)

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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Global results and stability of motion

Mathematical Proceedings of the Cambridge Philosophical Society, 1971
1. The proofs of many results in the theory of stability and boundedness basically depend on dividing the vicinity of some kind of invariant set (or other convenient set) into suitable subsets and then trying either to prove that solutions cannot leave such sets or to estimate the escape time.
S. Leela, V. Lakshmikantham
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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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Global Stability Results [PDF]

, 1993
In this chapter we present some general results on the global asymptotic stability and global attractivity of some quite general nonlinear difference equations of order greater than one. The global asymptotic stability of such equations is an unexplored area, still in its infancy, with great potential for applications.
V. L. Kocic, G. Ladas
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Global stability of equilibria

Journal of Difference Equations and Applications, 2009
Let be of class C 1 (i.e. differentiable in the sense of Frechet with continuous derivative). In a paper published in 1960, Markus and Yamabe [19] conjectured that the origin is a global attractor ...
Mario Martelli, Massimo Furi, M. O'Neill
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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 ...
Hongsheng Qi, Daizhan Cheng
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Global stability of spiral flow

Journal of Fluid Mechanics, 1970
Energy and linear limits are calculated for the Poiseuille–Couette spiral motion between concentric cylinders which rotate rigidly and rotate and slide relative to one another. The addition of solid rotation can bring the linear limit down to the energy limit with coincidence achieved in the limit of infinitely fast rotation.
B. R. Munson, Daniel D. Joseph
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Global Stability with Spillovers*

Economic Record, 1979
This paper investigates the stability of a small, highly stylized economy, which has imperfectly informed traders visiting markets sequentially. Trading out of equilibrium is allowed. Roughly speaking, this system is found to be stable, even though spillovers are present, as long as the direct effects of price changes dominate the spillovers.
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Global Guidance Stabilization

IFAC Proceedings Volumes, 1996
Abstract A global stabilization problem for nonlinear control systems is considered. First an auxiliary control system with a full-dimensional set of controls is studied. In many cases a global stabilizer for such a system can be found in an analytical form.
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