Results 21 to 30 of about 33,209,479 (267)
Solution Bounds and Numerical Methods of the Unified Algebraic Lyapunov Equation
Mathematics, 2022 In this paper, applying some properties of matrix inequality and Schur complement, we give new upper and lower bounds of the solution for the unified algebraic Lyapunov equation that generalize the forms of discrete and continuous Lyapunov matrix ...
Juan Zhang, Shifeng Li, Xiangyang Gan
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The Lyapunov spectrum as the Newton method [PDF]
Physica A: Statistical Mechanics and its Applications, 2012 For a class of dynamical systems, the cookie-cutter maps, we prove that the Lyapunov spectrum coincides with the map given by the Newton-Raphson method applied to the derivative of the pressure function.
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General active stabiliser for coordinated control of low voltage multi-terminal AC/DC hybrid system
The Journal of Engineering, 2018 It is known that if AC/DC converter power exceeds limit it may lead to instability of DC network, especially DC voltage, and further affects the whole system.
Wei Deng +4 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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Event-triggered detection of cyberattacks on load frequency control
IET Cyber-Physical Systems, 2020 Modern power systems are extensively interlaced with data communication at various levels leading to increased vulnerability to cyberattacks at individual components as well as integrated controls.
Aradhna Patel +2 more
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IET Control Theory & Applications, 2023 This study presents a design methodology for Takagi‐Sugeno (T‐S) fuzzy models‐based secure communications in multiple time‐delay chaotic (MTDC) systems with Rivest cipher 4 (RC4) algorithm.
Feng‐Hsiag Hsiao
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A discrete epidemic model for bovine Babesiosis disease and tick populations
Open Physics, 2017 In this paper, we provide and study a discrete model for the transmission of Babesiosis disease in bovine and tick populations. This model supposes a discretization of the continuous-time model developed by us previously.
Aranda Diego F. +2 more
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Energies, 2018 Wave power conversion systems are nonlinear dynamical systems that must endure strong uncertainties. Efficiency is a key issue for these systems, and the application of robust control algorithms can improve it considerably.
Oscar Barambones +2 more
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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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Biologically inspired adaptive intelligent secondary control for MGs under cyber imperfections
IET Cyber-Physical Systems, 2019 In this study, the authors investigate the secondary control of microgrids (MGs) in the presence of cyber imperfections such as delay and/or noise, and system disturbances.
Mohammad Jafari +6 more
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