Stability implications of delay distribution for first-order and second-order systems
, 2009 In application areas, such as biology, physics and engineering, delays arise naturally because of the time it takes for the system to react to internal or external events.
Gabor Kiss +3 more
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Uniform asymptotic stability, an initial treatment
, 2012 This chapter focuses on the uniform asymptotic stability of a closed set. Asymptotic stability is a fundamental property of dynamical systems—one that is usually desired in natural and engineered systems.
Rafal Goebel +2 more
core +1 more source
Lyapunov function and global asymptotic stability for a new multiscale viral dynamics model incorporating the immune system response: Implemented upon HCV. [PDF]
PLoS One, 2021 Elkaranshawy HA, Ezzat HM, Ibrahim NN.
europepmc +1 more source
A new drag and lift correlation for spherocylinders from fully resolved Immersed Boundary Method
AIChE Journal, EarlyView.Abstract Many industrial processes deal with non‐spherical particles, e.g., mineral mining and biomass conversion. It is crucial to understand the particles' hydrodynamics to control and optimize these processes. To extend the current state‐of‐the‐art from arrays of spherical particles to spherocylindrical particles, we performed extensive particle ...
A. H. Huijgen +4 more
wiley +1 more source
Asymptotic properties of stochastic population dynamics
, 2008 In this paper we stochastically perturb the classical Lotka{Volterra model x_ (t) = diag(x1(t); ; xn(t))[b + Ax(t)] into the stochastic dierential equation dx(t) = diag(x1(t); ; xn(t))[(b + Ax(t))dt + dw(t)]: The main aim is to study the asymptotic ...
Deng, Feiqi +13 more
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, 1999 —A concept of input-to-state stability for time-varying control systems is introduced that constitutes extension of the well-known notion concerning the autonomous case.
I. Karafyllis +3 more
core +1 more source
Existence and global asymptotic stability criteria for nonlinear neutral-type neural networks involving multiple time delays using a quadratic-integral Lyapunov functional. [PDF]
Adv Differ Equ, 2021 Gholami Y.
europepmc +1 more source
Solutions to Lyapunov stability problems of sets: nonlinear systems with differentiable motions
International Journal of Mathematics and Mathematical Sciences, 1994 Time-invariant nonlinear systems with differentiable motions are considered. The algorithmic necessary and sufficient conditions are established in various forms for one-shot construction of a Lyapunov function, for asymptotic stability of a compact ...
Ljubomir T. Grujic
doaj +1 more source
Deep Learning‐Assisted Design of Mechanical Metamaterials
Advanced Intelligent Discovery, EarlyView.This review examines the role of data‐driven deep learning methodologies in advancing mechanical metamaterial design, focusing on the specific methodologies, applications, challenges, and outlooks of this field. Mechanical metamaterials (MMs), characterized by their extraordinary mechanical behaviors derived from architected microstructures, have ...
Zisheng Zong +5 more
wiley +1 more source
Stability of Growth Models with Generalised Lag Structures [PDF]
This paper considers the lag structures of dynamic models in economics, arguing that the standard approach is too simple to capture the complexity of actual lag structures arising, for example, from production and investment decisions.
Donald A R George
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