Results 61 to 70 of about 4,465 (210)

Non-perturbative weak Holder continuity of Lyapunov exponent of discrete analytic Jacobi operators with skew-shift mapping

Electronic Journal of Differential Equations, 2019
In this article, we study the continuity of the Lyapunov exponent of discrete analytic Jacobi operators with the skew-shift mapping. We prove that the Lyapunov exponent is weak Holder continuous in E for any Diophantine frequency in the large coupling
Kai Tao
doaj  

Adaptive Sliding‐Mode Control of a Perturbed Diffusion Process With Pointwise In‐Domain Actuation

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT A sliding mode–based adaptive control law is proposed for a class of diffusion processes featuring a spatially‐varying uncertain diffusivity and equipped with several point‐wise actuators located at the two boundaries of the spatial domain as well as in its interior.
Paul Mayr, Alessandro Pisano, Stefan Koch, Markus Reichhartinger   +3 more
wiley   +1 more source

Positive Lyapunov exponent of discrete analytic Jacobi operator

Electronic Journal of Differential Equations, 2017
In this article, we study the Lyapunov exponent of discrete analytic Jacobi operator with a family of some mappings on the torus. By applying the theory of subharmonic functions, we prove that the Lyapunov exponent is positive, if the coupling number ...
Kai Tao
doaj  

Optimal Homogeneous ℒp$$ {\boldsymbol{\mathcal{L}}}_{\boldsymbol{p}} $$‐Gain Controller

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Nonlinear ℋ∞$$ {\mathscr{H}}_{\infty } $$‐controllers are designed for arbitrarily weighted, continuous homogeneous systems with a focus on systems affine in the control input. Based on the homogeneous ℒp$$ {\mathcal{L}}_p $$‐norm, the input–output behavior is quantified in terms of the homogeneous ℒp$$ {\mathcal{L}}_p $$‐gain as a ...
Daipeng Zhang, Benjamin Calmbach, Jaime A. Moreno, Johann Reger   +3 more
wiley   +1 more source

PID‐Like Robust Control of Non‐Minimum Phase Robotic Manipulators

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This paper proposes an output‐feedback tracking controller for non‐minimum phase nonlinear systems with unknown uncertainties and external disturbances, where not all states are measurable, and the zero dynamics are unstable. The approach combines a backstepping‐based stabilizing state‐feedback law with a cascade extended high‐gain observer ...
Mohammad Al Saaideh, Almuatazbellah Boker, Mohammad Al Janaideh   +2 more
wiley   +1 more source

Lyapunov exponents and phase transition of Hayward AdS black hole

European Physical Journal C: Particles and Fields
In this paper, we study the relationship between the phase transition and Lyapunov exponents for 4D Hayward anti-de Sitter (AdS) black hole. We consider the motion of massless and massive particles around an unstable circular orbit of the Hayward AdS ...
Naba Jyoti Gogoi, Saumen Acharjee, Prabwal Phukon   +2 more
doaj   +1 more source

Recursive Feasibility of Nonlinear Stochastic Model Predictive Control With Gaussian Process Dynamics

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Data‐based learning of system dynamics allows model‐based control approaches to be applied to systems with partially unknown dynamics. Gaussian process regression is a preferred approach that outputs not only the learned system model but also the variance of the model, which can be seen as a measure of uncertainty.
Daniel Landgraf, Andreas Völz, Knut Graichen   +2 more
wiley   +1 more source

On Lyapunov exponent and sensitivity

Journal of Mathematical Analysis and Applications, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abraham, Christophe, Biau, Gérard, Cadre, Benoı̂t   +2 more
openaire   +2 more sources

Periodic Scenario Trees: A Novel Framework for Robust Periodic Invariance and Stabilization of Constrained Uncertain Linear Systems

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This work proposes a new framework for stabilizing uncertain linear systems and for determining robust periodic invariant sets and their associated control laws for constrained uncertain linear systems. Necessary and sufficient conditions for stabilizability by periodic controllers are stated and proven using finite step Lyapunov functions for
Yehia Abdelsalam, Sankaranarayanan Subramanian, Sebastian Engell   +2 more
wiley   +1 more source

Scrambling in charged hairy black holes and the Kasner interior

European Physical Journal C: Particles and Fields
We analyze how the axion parameter, the Einstein–Maxwell-Scalar (EMS) coupling constant, and the charge density affect the chaotic properties of a charged hairy black hole, as characterized by the quantum Lyapunov exponent.
Hadyan Luthfan Prihadi, Donny Dwiputra, Fitria Khairunnisa, Freddy Permana Zen   +3 more
doaj   +1 more source