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Modeling and Transient Stability Analysis for Type-3 Wind Turbines Using Singular Perturbation and Lyapunov Methods

IEEE transactions on industrial electronics (1982. Print), 2023
Wind turbines (WTs) are prone to transient instability during weak grid faults, which is caused by their complex interactions. However, it is a challenge to analyze the transient stability, due to high-order and strong nonlinearity.
Yumei Ma   +5 more
semanticscholar   +1 more source

Convergence of stochastic approximation via martingale and converse Lyapunov methods

MCSS. Mathematics of Control, Signals and Systems, 2022
In this paper, we study the almost sure boundedness and the convergence of the stochastic approximation (SA) algorithm. At present, most available convergence proofs are based on the ODE method, and the almost sure boundedness of the iterations is an ...
M. Vidyasagar
semanticscholar   +1 more source

On Lyapunov Methods for Nonlinear Discrete-Time Switching Systems With Dwell-Time Ranges

IEEE Transactions on Automatic Control, 2022
A novel Lyapunov methodology for the stability check of nonlinear discrete-time switching systems, equipped with switches digraphs and nonuniform dwell-time ranges, is here presented.
P. Pepe
semanticscholar   +1 more source

Safe Control With Learned Certificates: A Survey of Neural Lyapunov, Barrier, and Contraction Methods for Robotics and Control

IEEE Transactions on robotics, 2022
Learning-enabled control systems have demonstrated impressive empirical performance on challenging control problems in robotics, but this performance comes at the cost of reduced transparency and lack of guarantees on the safety or stability of the ...
Charles Dawson, Sicun Gao, Chuchu Fan
semanticscholar   +1 more source

Stochastic Lyapunov method

Nonlinear Differential Equations and Applications NoDEA, 1995
Let \((\Omega, {\mathcal F}, P)\) be a complete probability space, and let \(\{{\mathcal F}_t \subset {\mathcal F}\}\) be an increasing family of \(\sigma\)-sub-algebras adopted to a standard \(m\)-dimensional Wiener process \(W\). The authors consider solutions to the stochastic differential equation (*) \(dx = f(x(t)) dt + \sigma (x(t)) dW(t)\), \(x \
Aubin, Jean-Pierre, Da Prato, Giuseppe
openaire   +1 more source

Discretization of Second Lyapunov Method

Qualitative Theory of Dynamical Systems, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Polulyakh, Eugene   +2 more
openaire   +1 more source

Polynomial Fuzzy Observed-State Feedback Stabilization via Homogeneous Lyapunov Methods

IEEE transactions on fuzzy systems, 2018
A homogeneously state-dependent polynomial Lyapunov function for an observed-state feedback polynomial fuzzy control system is proposed. From which an advanced sufficient sum of squares (SOS) condition formulated in terms of state-dependent matrix ...
Ji-Chang Lo, Chengwei Lin
semanticscholar   +1 more source

Lyapunov based reasoning methods

IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans, 2001
Semiquantitative simulation is an approach for the analysis of uncertain dynamic systems that performs a comprehensive simulation study based on automated reasoning methods. Semiquantitative simulation of complex models is, however, hindered by the limited automated reasoning capabilities of the currently available semiquantitative simulation ...
M. Hofbauer, N. Dourdoumas
openaire   +1 more source

Suppressing chaos via Lyapunov–Krasovskii’s method

Chaos, Solitons & Fractals, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kuang, JL, Meehan, PA, Leung, AYT
openaire   +3 more sources

Parallelizable Flows and Lyapunov's Second Method

The Annals of Mathematics, 1961
This paper is divided into two parts. Part I deals with flows on arbitrary metric spaces and answers completely the question when they are parallelizable. We give an elementary proof for arbitrary locally compact separable metric spaces which, incidentally, also clarifies the role of Niemytskii's notion of an improper saddle point.
Dugundji, John, Antosiewicz, H. A.
openaire   +3 more sources

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