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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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Noise-Induced Stabilization of Planar Flows I [PDF]
, 2015 We show that the complex-valued ODE \begin{equation*} \dot z_t = a_{n+1} z^{n+1} + a_n z^n+\cdots+a_0, \end{equation*} which necessarily has trajectories along which the dynamics blows up in finite time, can be stabilized by the addition of an ...
Herzog, David P., Mattingly, Jonathan C.
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Control Lyapunov Functions and Zubov's Method [PDF]
SIAM Journal on Control and Optimization, 2008 For finite dimensional nonlinear control systems we study the relation between asymptotic null-controllability and control Lyapunov functions. It is shown that control Lyapunov functions may be constructed on the domain of asymptotic null-controllability as viscosity solutions of a first order PDE that generalizes Zubov's equation. The solution is also
CAMILLI, FABIO, L. Gruene, Fabian Wirth
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THE DYNAMICAL INVESTIGATION OF HEAT TRANSFER AND TEMPERATURE CHANGES OF THE SHELL AND TUBE HEAT EXCHANGER USING THE LYAPUNOV METHODS [PDF]
Journal of Mechanics of Continua and Mathematical SciencesThe dynamic of the heat transfer analysis constitutes an important factor that has drawn the attention of many researchers. Heat transfer is evaluated by considering the heat transfer coefficient, the surface area, and the temperature difference between ...
Fadayini O. +5 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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IET Cyber-Physical Systems, 2019 This study proposes a novel user-centric cyber-physical framework to achieve distributed demand response (DDR) in a distribution system where local schedulers (LS) present at individual buses program both local and non-local loads to reduce the maximum ...
Swaroop Ranjan Mishra +3 more
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Low-Thrust Lyapunov to Lyapunov and Halo to Halo with $L^2$-Minimization [PDF]
, 2016 In this work, we develop a new method to design energy minimum low-thrust missions (L2-minimization). In the Circular Restricted Three Body Problem, the knowledge of invariant manifolds helps us initialize an indirect method solving a transfer mission ...
Chupin, Maxime +2 more
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DNN identification and fault-tolerant control for non-linear systems with unknown faults
The Journal of Engineering, 2019 In this study, dynamical neural networks (DNNs) are used as an online identifier for a class of non-linear systems with unknown actuator faults. By integrating the designed non-linear FD observer with adaptive regulation algorithm, the parameter coupling
Xiaoli Zhang +3 more
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Computation and verification of Lyapunov functions [PDF]
, 2015 Lyapunov functions are an important tool to determine the basin of attraction of equilibria in Dynamical Systems through their sublevel sets. Recently, several numerical construction methods for Lyapunov functions have been proposed, among them the RBF ...
Dellnitz M. +6 more
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