Results 71 to 80 of about 15,223 (231)

Lipschitz Stability for Non-Instantaneous Impulsive Caputo Fractional Differential Equations with State Dependent Delays

Axioms, 2018
In this paper, we study Lipschitz stability of Caputo fractional differential equations with non-instantaneous impulses and state dependent delays. The study is based on Lyapunov functions and the Razumikhin technique. Our equations in particular include
Ravi Agarwal, Snezhana Hristova, Donal O'Regan   +2 more
doaj   +1 more source

Data‐driven emulation of flow‐dependent background‐error variance in variational data assimilation

Quarterly Journal of the Royal Meteorological Society, EarlyView.
A machine‐learning approach is developed to emulate flow‐dependent background‐error variance within a variational data assimilation framework. The method reproduces uncertainty information that would normally require a 50‐member ensemble using only five members, while maintaining comparable observation fit and forecast performance.
Wei Pan, Massimo Bonavita, Marcin Chrust, Elías Hólm   +3 more
wiley   +1 more source

Applying Wavelet Transformation in Blind Sources Separation

Majlesi Journal of Electrical Engineering
One of the most important problems in heart signal processing is the extraction of fetal electrocardiogram (FECG). One of the reasons that we are interested in FECG extraction is that this signal consists of important characteristics about healthy ...
Mohammad Shayesteh, Jamal Fallahian
doaj  

Lyapunov Stability of the Generalized Stochastic Pantograph Equation

Journal of Mathematics, 2018
The purpose of the paper is to study stability properties of the generalized stochastic pantograph equation, the main feature of which is the presence of unbounded delay functions. This makes the stability analysis rather different from the classical one.
Ramazan Kadiev, Arcady Ponosov
doaj   +1 more source

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

Dynamic Stability and Control of a Manipulating Unmanned Aerial Vehicle

International Journal of Aerospace Engineering, 2018
This paper focuses on the dynamic stability analysis of a manipulator mounted on a quadrotor unmanned aerial vehicle, namely, a manipulating unmanned aerial vehicle (MUAV).
Yunping Liu, Xijie Huang, Yonghong Zhang, Yukang Zhou   +3 more
doaj   +1 more source

Differential Inclusions for Measures and Lyapunov Stability

Journal of Optimization Theory and Applications
Abstract This paper focuses on differential inclusions for measures, that are differential relations whose solutions are time-evolving measures. The definition of evolution equations for measures attracted a lot of attention recently. We start by recalling the main concepts developed in the latest literature and comparing them.
C. D'Apice, R. Manzo, B. Piccoli
openaire   +3 more sources

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

Frequency‐Domain Analysis of External Signal Propagation Through Sliding Mode Control Systems With Dynamic Actuators

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT The importance of frequency domain methods in analysis and design of sliding mode (SM) control systems is mostly associated with chattering, where the advantages of these methods over state‐space and Lyapunov's methods are quite obvious.
I. M. Boiko
wiley   +1 more source

Optimal Gain Selection for the Arbitrary‐Order Homogeneous Differentiator

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Differentiation of noisy signals is a relevant and challenging task. Widespread approaches are the linear high‐gain observer acting as a differentiator and Levant's robust exact differentiator with a discontinuous right‐hand side. We consider the family of arbitrary‐order homogeneous differentiators, which includes these special cases.
Benjamin Calmbach, Jaime A. Moreno, Johann Reger   +2 more
wiley   +1 more source