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Quantum Lyapunov spectrum [PDF]
Journal of High Energy Physics, 2019 We introduce a simple quantum generalization of the spectrum of classical Lyapunov exponents. We apply it to the SYK and XXZ models, and study the Lyapunov growth and entropy production.
Hrant Gharibyan +3 more
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Completeness of Lyapunov Abstraction [PDF]
Electronic Proceedings in Theoretical Computer Science, 2013 In this work, we continue our study on discrete abstractions of dynamical systems. To this end, we use a family of partitioning functions to generate an abstraction.
Rafael Wisniewski, Christoffer Sloth
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Optimal power flow with small signal stability constraints [PDF]
Científica, 2022 A power system presents different stability problems, the small-signal stability problem receives attention to the occasional oscillations and the change in its demand, for this and the need to optimize resources a smallsignal stability constraint is ...
José Antonio Gándara-Capistrán +1 more
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A Robust Nonlinear Controller for PMSG Wind Turbines
Energies, 2021 In this paper, a nonlinear backstepping controller is proposed to manage the performance of a full-variable permanent magnet synchronous generator wind turbine.
Nicholas Hawkins, Michael L. McIntyre
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Global Stabilization of Attitude Dynamics: SDRE-based Control Designs [PDF]
AUT Journal of Modeling and Simulation, 2018 The State-Dependant Riccati Equation method has been frequently used to design suboptimal controllers applied to nonlinear dynamic systems. Different methods for local stability analysis of SDRE controlled systems of order higher than two such as the ...
M. Safi, M. Mortazavi, S.M. Dibaji
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A Discussion on the Existence of Smooth Lyapunov Functions for Continuous Stable Systems [PDF]
International Journal of Industrial Electronics, Control and Optimization, 2021 Lyapunov's theorem is the basic criteria to establish the stability properties of the nonlinear dynamical systems. In this method, it is a necessity to find the positive definite functions with negative definite or negative semi-definite derivative ...
Majid Akbarian, Naser Pariz
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Stability Analysis for Autonomous Vehicle Navigation Trained over Deep Deterministic Policy Gradient
Mathematics, 2022 The Deep Deterministic Policy Gradient (DDPG) algorithm is a reinforcement learning algorithm that combines Q-learning with a policy. Nevertheless, this algorithm generates failures that are not well understood. Rather than looking for those errors, this
Mireya Cabezas-Olivenza +4 more
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Nonlinear Current-Mode Control of SCIG Wind Turbines
Energies, 2020 In this paper, a nonlinear controller is proposed to manage the rotational speed of a full-variable Squirrel Cage Induction Generator wind turbine. This control scheme improves upon tractional vector controllers by removing the need for a rotor flux ...
Nicholas Hawkins +2 more
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On perturbing lyapunov functions [PDF]
Mathematical Systems Theory, 1976 A new idea of perturbing Lyapunov functions is presented which permits one to discuss nonuniform properties of solutions of differential equations under weaker ...
V. Lakshmikantham, S. Leela
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Recurrence and Lyapunov Exponents [PDF]
Moscow Mathematical Journal, 2003 We prove two inequalities between the Lyapunov exponents of a diffeomorphism and its local recurrence properties. We give examples showing that each of the inequalities is optimal.
Saussol, B. +2 more
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