Results 21 to 30 of about 10,373,678 (325)
A Generalized Nonuniform Contraction and Lyapunov Function
Abstract and Applied Analysis, 2012 For nonautonomous linear equations x′=A(t)x, we give a complete characterization of general nonuniform contractions in terms of Lyapunov functions. We consider the general case of nonuniform contractions, which corresponds to the existence of what we ...
Fang-fang Liao +2 more
doaj +1 more source
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
Epidemiological Models and Lyapunov Functions [PDF]
Mathematical Modelling of Natural Phenomena, 2007 We give a survey of results on global stability for deterministic compartmental epidemiological models. Using Lyapunov techniques we revisit a classical result, and give a simple proof. By the same methods we also give a new result on differential susceptibility and infectivity models with mass action and an arbitrary number of compartments.
Abdoul Aziz Fall +4 more
openaire +3 more sources
A Control Lyapunov Function Approach to Feedback Stabilization of Logical Control Networks
SIAM Journal of Control and Optimization, 2019 This paper studies the feedback stabilization problem of $k$-valued logical control networks (KVLCNs), and proposes a control Lyapunov function (CLF) approach for this problem.
Haitao Li, Xueying Ding
semanticscholar +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
Quantization of Lyapunov functions [PDF]
Ukrainian Mathematical Journal, 2011 We investigate discret conditions for stability and asymptotic stability by Lyapunov and the point of equilibrium of autonomous system of differential equations.
openaire +3 more sources
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 +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
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
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