Results 21 to 30 of about 112,131 (249)

Statistics of finite scale local Lyapunov exponents in fully developed homogeneous isotropic turbulence [PDF]

, 2018
The present work analyzes the statistics of finite scale local Lyapunov exponents of pairs of fluid particles trajectories in fully developed incompressible homogeneous isotropic turbulence.
de Divitiis, Nicola
core   +2 more sources

Physics-informed transient stability assessment of microgrids

iEnergy, 2023
With the integration of a voltage source converter (VSC), having variable internal voltages and source impedance, in a microgrid with high resistance to reactance ratio of short lines, angle-based transient stability techniques may find limitations ...
Priyanka Mishra, Peng Zhang
doaj   +1 more source

Lyapunov Function and Exponential Trichotomy on Time Scales

Discrete Dynamics in Nature and Society, 2011
We study the relation between Lyapunov function and exponential trichotomy for the linear equation 𝑥Δ=𝐴(𝑡)𝑥 on time scales. Furthermore, as an application of these results, we give the roughness of exponential trichotomy on time scales.
Ji Zhang
doaj   +1 more source

Large-Signal Stability Modeling for the Grid-Connected VSC Based on the Lyapunov Method

Energies, 2018
In this paper, a Lyapunov-based method is used in order to determine the stability boundaries of the grid-connected voltage source converter (VSC). To do so, a state space model of the VSC is used to form the Lyapunov function of the system.
Bahram Shakerighadi, Esmaeil Ebrahimzadeh, Frede Blaabjerg, Claus Leth Bak   +3 more
doaj   +1 more source

Numerical Methods That Preserve a Lyapunov Function for Ordinary Differential Equations

Mathematics, 2022
The paper studies numerical methods that preserve a Lyapunov function of a dynamical system, i.e., numerical approximations whose energy decreases, just like in the original differential equation.
Yadira Hernández-Solano, Miguel Atencia
doaj   +1 more source

Lyapunov Functions Family Approach to Transient Stability Assessment [PDF]

, 2015
Analysis of transient stability of strongly nonlinear post-fault dynamics is one of the most computationally challenging parts of Dynamic Security Assessment. This paper proposes a novel approach for assessment of transient stability of the system.
Turitsyn, Konstantin, Vu, Thanh Long
core   +4 more sources

Discretized Lyapunov Function Approach for Switched Linear Systems under Dwell Time Constraint

Abstract and Applied Analysis, 2014
This paper is concerned with the stability and disturbance attenuation properties of switched linear system with dwell time constraint. A novel time-scheduled Lyapunov function is introduced to deal with the problems studied in this paper. To numerically
Yongchi Zhao, Shengxian Zhuang, Weiming Xiang, Lin Du   +3 more
doaj   +1 more source

Mathematical modelling of branched hydraulic systems [PDF]

Компьютерные исследования и моделирование, 2009
Solving the problem of stationary stream distribution for an arbitrary volume-free hydrosystem with a free level can be reduced to determining the extremes of a multi-variable function.
N. V. Kassina, L. V. Smirnov
doaj   +1 more source

Kuhn-Tucker-based stability conditions for systems with saturation [PDF]

, 2001
This paper presents a new approach to deriving stability conditions for continuous-time linear systems interconnected with a saturation. The method presented can be extended to handle a dead-zone, or in general, nonlinearities in the form of piecewise ...
Gianelli, Monica, Primbs, James A.
core   +1 more source

Lyapunov Function based Criteria for Ship Rolling in Random Beam Seas

Polish Maritime Research, 2019
The aim of this study is to present a Lyapunov function which can be used to derive an intact stability criterion for a ship in random beam seas. First, the mathematical model of the rolling motion of ships in random beam seas is introduced.
Üçer Erdem
doaj   +1 more source