Results 11 to 20 of about 9,316,771 (402)

Global Exponential Stability of Delayed Periodic Dynamical Systems [PDF]

open access: yesPhysics Letters A 332(2004) 344-, 2004
In this paper, we discuss delayed periodic dynamical systems, compare capability of criteria of global exponential stability in terms of various $L^{p}$ ($1\le ...
Arik   +19 more
core   +3 more sources

Asymptotic stability equals exponential stability, and ISS equals finite energy gain---if you twist your eyes [PDF]

open access: yesarXiv, 1998
In this paper we show that uniformly global asymptotic stability for a family of ordinary differential equations is equivalent to uniformly global exponential stability under a suitable nonlinear change of variables.
Grüne, Lars   +2 more
core   +5 more sources

Smoothness dependent stability in corrosion detection [PDF]

open access: yesJournal of Mathematical Analysis and Applications, 426 (2015), 364-379, 2014
We consider the stability issue for the determination of a linear corrosion in a conductor by a single electrostatic measurement. We established a global log-log type stability when the corroded boundary is simply Lipschitz. We also improve such a result
Sincich, Eva
core   +2 more sources

Global Stability Analysis Using the Eigenfunctions of the Koopman Operator [PDF]

open access: yesarXiv, 2014
We propose a novel operator-theoretic framework to study global stability of nonlinear systems. Based on the spectral properties of the so-called Koopman operator, our approach can be regarded as a natural extension of classic linear stability analysis ...
A. Mauroy, I. Mezić
semanticscholar   +2 more sources

Global asymptotic properties for a Leslie-Gower food chain model [PDF]

open access: yesMathematical Biosciences and Engineering 6:585-590 (2009), 2009
We study global asymptotic properties of a continuous time Leslie-Gower food chain model. We construct a Lyapunov function which enables us to establish global asymptotic stability of the unique coexisting equilibrium state.Comment: 5 Pages, 1 figure ...
Korobeinikov, Andrei, Lee, William T.
core   +2 more sources

The birth of the global stability theory and the theory of hidden oscillations [PDF]

open access: yesEuropean Control Conference, 2020
The first mathematical problems of the global analysis of dynamical models can be traced back to the engineering problem of the Watt governor design. Engineering requirements and corresponding mathematical problems led to the fundamental discoveries in ...
Kuznetsov N.V.a   +11 more
semanticscholar   +1 more source

Nominal Stability and Financial Globalization [PDF]

open access: yesJournal of Money, Credit and Banking, 2014
Over the past four decades, there has been a substantial increase in financial globalization, that is, rapid growth in gross external portfolio positions. There has also been a substantial fall in the variability of inflation. Many economists have conjectured that financial globalization contributed to the improved inflation performance.
Devereux, Michael B.   +2 more
openaire   +7 more sources

Global Stability Analysis of Mechanical Prosthetic Finger Adaptive Control [PDF]

open access: yesRevista Română de Informatică și Automatică, 2022
This technical note presents a discussion on the dynamic modeling and analysis of the adaptive controller of a Mechanical Prosthetic finger with constraints mass (m) of the mechanical finger and constant friction (K1) with variation in spring constraint (
Pritam CHAKRABORTY   +3 more
doaj   +1 more source

Global dynamics of an SI epidemic model with nonlinear incidence rate, feedback controls and time delays

open access: yesMathematical Biosciences and Engineering, 2021
In this paper, we consider a class of SI epidemic model with nonlinear incidence, feedback controls and four different discrete time delays. By skillfully constructing appropriate Lyapunov functionals, and combining Lyapunov-LaSalle invariance principle ...
Ke Guo, Wanbiao Ma
doaj   +1 more source

On global stability of financial networks [PDF]

open access: yesJournal of Complex Networks, 2014
arXiv admin note: text overlap with arXiv:1112.5687 by other authors. Prior title for this article was "Contagion in Financial Networks: Measure, Evaluation and Implications"
Bhaskar DasGupta, Lakshmi Kaligounder
openaire   +3 more sources

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