Results 71 to 80 of about 148,648 (315)

Dynamics of the Exponential Population Growth System with Mixed Fractional Brownian Motion

open access: yesComplexity, 2021
This paper examines the dynamics of the exponential population growth system with mixed fractional Brownian motion. First, we establish some useful lemmas that provide powerful tools for studying the stochastic differential equations with mixed ...
Weijun Ma   +3 more
doaj   +1 more source

Mean Square Exponential Stability of Stochastic Delay Differential Systems with Logic Impulses

open access: yesMathematics, 2023
This paper focuses on the mean square exponential stability of stochastic delay differential systems with logic impulses. Firstly, a class of nonlinear stochastic delay differential systems with logic impulses is constructed. Then, the logic impulses are
Chunxiang Li   +4 more
doaj   +1 more source

Investigation of Oxygen‐Free Wetting Behavior of Aluminum on Copper via Molecular Dynamics Simulations and Experiments

open access: yesAdvanced Engineering Materials, EarlyView.
The wettability of aluminum droplets (Al) on different copper substrates (Cu), where liquid Al spreads on solid Cu surfaces to form a liquid–solid interface, is studied numerically and experimentally. The experimental and numerical results show good agreement in the fast‐spreading regime.
Shan Lyu   +8 more
wiley   +1 more source

A Tutorial on Incremental Stability Analysis using Contraction Theory [PDF]

open access: yesModeling, Identification and Control, 2010
This paper introduces a methodology for differential nonlinear stability analysis using contraction theory (Lohmiller and Slotine, 1998). The methodology includes four distinct steps: the descriptions of two systems to be compared (the plant and the ...
J. Jouffroy, T.I. Fossen
doaj   +1 more source

The Perron Problem for C-Semigroups

open access: yes, 2004
<p>Characterizations of Perron-type for the exponential stability of exponentially bounded C-semigroups are given. Also, some applications for the asymptotic behavior of the integrated semigroups are obtained.</p>
Prada, Petre   +2 more
core   +1 more source

Input-to-state stability for discrete-time time-varying systems with applications to robust stabilization of systems in power form [PDF]

open access: yes, 2005
Input-to-state stability (ISS) of a parameterized family of discrete-time time-varying nonlinear systems is investigated. A converse Lyapunov theorem for such systems is developed.
Laila, D. S.   +5 more
core   +1 more source

The exponential input-to-state stability property: characterisations and feedback connections

open access: yes, 2023
The exponential input-to-state stability (ISS) property is considered for systems of controlled nonlinear ordinary differential equations. A characterisation of this property is provided, including in terms of a so-called exponential ISS Lyapunov ...
Chris Guiver   +3 more
core   +1 more source

Evaluating Energy Absorption Performance of Filled Lattice Structures

open access: yesAdvanced Engineering Materials, EarlyView.
Maximum stress must be considered to robustly evaluate energy absorber designs. This approach was applied to compare all types of absorbers in a single Ashby diagram and determine the utility of filling lattice voids with a second material. High‐performance fillers can improve the performance of lattices that are limited by buckling or catastrophic ...
Christian Bonney   +2 more
wiley   +1 more source

Exponential Stability of Impulsive Delay Differential Equations

open access: yesAbstract and Applied Analysis, 2013
The main objective of this paper is to further investigate the exponential stability of a class of impulsive delay differential equations. Several new criteria for the exponential stability are analytically established based on Razumikhin techniques ...
G. L. Zhang, M. H. Song, M. Z. Liu
doaj   +1 more source

Rafting of Ni‐Based Superalloys Under Multiaxial Load as Understood by Phase‐Field Simulations and Critical Experiments

open access: yesAdvanced Engineering Materials, EarlyView.
Phase‐field simulations coupled with dislocation‐density‐based crystal plasticity modeling reproduce γ′ rafting behavior in single‐crystal Ni‐based superalloys under varied loading conditions. The model captures both macroscopic creep and microscopic morphology evolution, with results matching high‐temperature creep experiments.
Micheal Younan   +5 more
wiley   +1 more source

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