Results 101 to 110 of about 5,207,637 (277)

Stability conditions for the mixing flow dynamical system in a perturbed version

open access: yesAtti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2019
This paper continues some recent work on dynamical systems models from mixing flow area. The 2d mixing flow model is taken into account, in a slightly perturbed form.
Adela Ionescu
doaj   +1 more source

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

open access: yesInternational 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   +3 more
wiley   +1 more source

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

open access: yesInternational 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

A Discrete Analog of the Lyapunov Function for Hyperbolic Systems

open access: yesСовременная математика: Фундаментальные направления, 2018
We study the difference splitting scheme for the numerical calculation of stable solutions of a two-dimensional linear hyperbolic system with dissipative boundary conditions in the case of constant coefficients with lower terms.
R D Aloev, M U Khudayberganov
doaj   +1 more source

A new nonlinear controller design method based on control Lyapunov function

open access: yes, 2006
A new formulation of nonlinear controller design method based on control Lyapunov function, called Generalized Pointwise Min-Norm (GPMN) Controller, is introduced in this paper by generalizing the pointwise min-norm (PMN) controller presented by Freeman ...
He YQ(何玉庆)   +3 more
core   +1 more source

Optimal Gain Selection for the Arbitrary‐Order Homogeneous Differentiator

open access: yesInternational 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   +2 more
wiley   +1 more source

String‐Stable Platooning Control of Connected Automated Vehicles Under Non‐Uniform Stochastic Communication Delays

open access: yesInternational Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This paper is concerned with the platooning control problem of connected automated vehicles (CAVs) under non‐uniform stochastic vehicle‐to‐vehicle (V2V) communication delays. Most existing relevant studies assume uniform or deterministic or slowly varying delays, or design platoon controllers based on worst‐case delay bounds, resulting in ...
Dengfeng Pan   +3 more
wiley   +1 more source

Constructing the Lyapunov Function through Solving Positive Dimensional Polynomial System

open access: yesJournal of Applied Mathematics, 2013
We propose an approach for constructing Lyapunov function in quadratic form of a differential system. First, positive polynomial system is obtained via the local property of the Lyapunov function as well as its derivative.
Zhenyi Ji   +3 more
doaj   +1 more source

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