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
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Learning lyapunov functions for hybrid systems [PDF]
Proceedings of the 24th International Conference on Hybrid Systems: Computation and Control, 2021 We propose a sampling-based approach to learn Lyapunov functions for a class of discrete-time autonomous hybrid systems that admit a mixed-integer representation. Such systems include autonomous piecewise affine systems, closed-loop dynamics of linear systems with model predictive controllers, piecewise affine/linear complementarity/mixed-logical ...
Shaoru Chen +4 more
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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
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LPV systems with unstable subsystems: A single Lyapunov function solution to stabilizing switching laws [PDF]
, 2013 Dimirovski, Georgi M. (Dogus Author) -- Conference full title: 2013 IEEE International Conference on System Science and Engineering (ICSSE) 4-6 July 2013, Budapest, HungaryThis investigation presents a synthesis solution for stabilizing switching laws ...
Dimirovski, Georgi M. +5 more
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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
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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
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The stability analysis of systems with nonlinear feedback expressed by a quadratic program [PDF]
, 2006 We consider the stability of the feedback connection of a stable linear time invariant (LTI) plant with a static nonlinearity expressed by a certain class of quadratic program (QP).
Lennox, B +5 more
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A novel Lyapunov function for a non-weighted L2 gain of asynchronously switched linear systems
at - Automatisierungstechnik, 2018 In this paper, a novel Lyapunov function is proposed to study switched linear systems with a switching delay between activation of system modes and activation of candidate controller modes.
Shuai Yuan +3 more
semanticscholar +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
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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
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