Results 11 to 20 of about 5,461,775 (227)
Energies, 2020 This paper proposes a high-performance control technique based on Lyapunov’s stability theory for a single-phase grid-connected neutral-point-clamped quasi-impedance source inverter with LCL filter.
Sertac Bayhan, Hasan Komurcugil
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Stabilizing a Rotary Inverted Pendulum Based on Logarithmic Lyapunov Function [PDF]
Journal of Control Science and Engineering, 2017 The stabilization of a Rotary Inverted Pendulum based on Lyapunov stability theorem is investigated in this paper. The key of designing control laws by Lyapunov control method is the construction of Lyapunov function.
Jie Wen, Yuanhao Shi, Xiaonong Lu
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A Lyapunov Function For Logistic Equation On Time Scales [PDF]
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2018 In this study we focus on the stability of dynamic logistic equation which is used in single species population dynamics. Here we have introduced a quadratic Lyapunov function for generalized dynamic logistic equation on time scales.
Veysel Fuat Hatipoğlu
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Kernel Machine to Estimate a Lyapunov Function and Region of Attraction (ROA) for Nonlinear Systems
IEEE Access, 2023 The Lyapunov theory establishes the fundamental details to determine the stability and the Lyapunov function associated with an equilibrium point of a nonlinear system.
Afroza Shirin +2 more
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Measurement + Control, 2023 The existence of a Lyapunov function is known to ensure either local or global stability of a system’s equilibrium state. Inspired by the control-Lyapunov method, we here construct a Lyapunov candidate function by analyzing a pendulum system’s total ...
Martinius Knudsen +3 more
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Stability of the Vallis System
Современные информационные технологии и IT-образование, 2022 In this paper, a variational method is proposed for obtaining the necessary (and sufficient) stability conditions for perturbed solutions of the system of Vallis equations.
Vladimir Nefedov +2 more
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Determining the domain of attraction of hybrid non-linear systems using maximal Lyapunov functions [PDF]
, 2010 summary:In this article a method is presented to find systematically the domain of attraction (DOA) of hybrid non-linear systems. It has already been shown that there exists a sequence of special kind of Lyapunov functions $V_n$ in a rational functional ...
Hangos, Katalin M. +3 more
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Stability of the Lorentz System
Современные информационные технологии и IT-образование, 2021 In this paper, a variational method is proposed for obtaining the necessary (and sufficient) stability conditions for perturbed solutions of the system of Lorentz equations.
Vasiliy Tikhomirov +3 more
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A Novel Method for Optimal Control of Piecewise Affine Systems Using Semi-Definite Programming [PDF]
International Journal of Industrial Electronics, Control and Optimization, 2020 : In this paper, a novel optimal control design method by discontinuous quadratic Lyapunov function and continuous quadratic Lyapunov function for 2-dimensional piecewise affine systems via semi-definite programming and LMI constraints is proposed.In ...
Majid Akbarian +2 more
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Lyapunov function for cosmological dynamical system
Demonstratio Mathematica, 2017 We prove the asymptotic global stability of the de Sitter solution in the Friedmann-Robertson-Walker conservative and dissipative cosmology. In the proof we construct a Lyapunov function in an exact form and establish its relationship with the first ...
Szydłowski Marek, Krawiec Adam
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