Stability conditions for the mixing flow dynamical system in a perturbed version
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
Robust Tracking Control of the Euler-Lagrange System Based on Barrier Lyapunov Function and Self-Structuring Neural Networks. [PDF]
Wang Y, Ma H, Wu W.
europepmc +1 more source
Optimal Homogeneous ℒp$$ {\boldsymbol{\mathcal{L}}}_{\boldsymbol{p}} $$‐Gain Controller
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
Lyapunov function and global asymptotic stability for a new multiscale viral dynamics model incorporating the immune system response: Implemented upon HCV. [PDF]
Elkaranshawy HA, Ezzat HM, Ibrahim NN.
europepmc +1 more source
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
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
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A new nonlinear controller design method based on control Lyapunov function
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
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
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
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

