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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Error analysis of QR algorithms for computing Lyapunov exponents [PDF]
, 2001 Lyapunov exponents give valuable information about long term dynamics. The discrete and continuous QR algorithms are widely used numerical techniques for computing approximate Lyapunov exponents, although they are not yet supported by a general error ...
McDonald, E.J., Higham, D.J.
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Design of an Adaptive Flux Observer for Sensorless Switched Reluctance Motors Using Lyapunov Theory
Advances in Electrical and Computer Engineering, 2020 This paper proposes an adaptive flux observer for a sensorless switched reluctance motor. The observer adaptive gains are designed using the Lyapunov theory to guarantee both the accuracy and stability of the sensorless control of a switched reluctance
ABDELMAKSOUD, H., ZAKY, M.
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The Journal of Engineering, 2019 The idea of ‘energy router’ (ER) is put forward as a critical application of the energy Internet (EI), especially in the new generation of electric power system to fulfil the power management and to deal with the integration of massive distributed ...
Xin Huang +4 more
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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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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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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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Solution of Positive Periodic Discrete Lyapunov Equations with Applications to the Balancing of Periodic Systems. [PDF]
, 1997 The discrete-time positive periodic Lyapunov equations have important applications in the balancing and potentially also in the model reduction of discrete-time periodic systems.
A. Varga, Varga, A., Andreas Varga
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