Results 101 to 110 of about 22,081,541 (270)

Stability analysis of monotone systems via max-separable Lyapunov functions [PDF]

, 2018
We analyze stability properties of monotone nonlinear systems via max-separable Lyapunov functions, motivated by the following observations: first, recent results have shown that asymptotic stability of a monotone nonlinear system implies the existence ...
Hamid Reza Feyzmahdavian, Feyzmahdavian, H.R., Besselink, Bart,, Besselink, B.; id_orcid, Bart Besselink, Feyzmahdavian, H. R., Mikael Johansson, Feyzmahdavian, Hamid Reza,, Johansson, Mikael,, Besselink, B., Johansson, M.   +10 more
core   +2 more sources

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

Classification of Processes by the Lyapunov exponent [PDF]

This paper deals with the problem of the discrimination between wellpredictable and not-well-predictable time series. One criterion for the separation is given by the size of the Lyapunov exponent, which was originally defined for deterministic systems ...
Busse, Anja M.
core  

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

MIMO Lyapunov Theory-Based RBF Neural Classifier for Traffic Sign Recognition

Applied Computational Intelligence and Soft Computing, 2012
Lyapunov theory-based radial basis function neural network (RBFNN) is developed for traffic sign recognition in this paper to perform multiple inputs multiple outputs (MIMO) classification.
King Hann Lim, Kah Phooi Seng, Li-Minn Ang   +2 more
doaj   +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

Lyapunov function search method for analysis of nonlinear systems stability using genetic algorithm

Научно-технический вестник информационных технологий, механики и оптики
A wide class of smooth continuous dynamic nonlinear systems (control objects) with a measurable state vector is considered. The problem of finding a special function (Lyapunov function), which guarantees asymptotic stability for the presented class of ...
A. M. Zenkin, A. A. Peregudin, A. A. Bobtsov   +2 more
doaj   +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

Positive realness and Lyapunov functions for switched behaviors

, 2012
We define a switched behavioral system as a finite bank of linear differential behaviors, together with some gluing conditions relating the system variables and their derivatives before and after each switching instant.
Rocha, Paula, Rapisarda, Paolo
core   +1 more source

Lyapunov-theory-based radial basis function networks for adaptive filtering

, 2002
Two important convergence properties of Lyapunov-theory-based adaptive filtering (LAF) adaptive filters are first explored. The LAF finite impulse response and infinite impulse response adaptive filters are then realized using the radial basis function ...
Zhihong Man (18924160), Hong Ren Wu (19113367), Kah Phooi Seng (19113364)   +2 more
core   +1 more source