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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
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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, 2022In 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
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On Lyapunov Methods for Nonlinear Discrete-Time Switching Systems With Dwell-Time Ranges
IEEE Transactions on Automatic Control, 2022A 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
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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
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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
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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
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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
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Discretization of Second Lyapunov Method
Qualitative Theory of Dynamical Systems, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Polulyakh, Eugene +2 more
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Polynomial Fuzzy Observed-State Feedback Stabilization via Homogeneous Lyapunov Methods
IEEE transactions on fuzzy systems, 2018A 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
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Lyapunov based reasoning methods
IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans, 2001Semiquantitative 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
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Suppressing chaos via Lyapunov–Krasovskii’s method
Chaos, Solitons & Fractals, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kuang, JL, Meehan, PA, Leung, AYT
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Parallelizable Flows and Lyapunov's Second Method
The Annals of Mathematics, 1961This 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.
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