Results 41 to 50 of about 8,061 (255)

Rigorous numerical estimation of Lyapunov exponents and invariant measures of iterated function systems and random matrix products

, 2000
We present a fast, simple matrix method of computing the unique invariant measure and associated Lyapunov exponents of a nonlinear iterated function system.
Gary Froyland, Kazuyuki Aihara
core   +2 more sources

Input-to-Output Stability for Stochastic Complex Networked Control Systems

Axioms
In this article, input-to-output stability (IOS) for stochastic complex networked control systems (SCNCS) is investigated. By applying Kirchhoff’s matrix tree theorem in graph theory, an appropriate Lyapunov function is established which is related to ...
Xuexin Li, Shang Gao
doaj   +1 more source

Output feedback controller design for polynomial linear parameter varying system via parameter-dependent Lyapunov functions

Advances in Mechanical Engineering, 2017
This article presents a new output feedback controller design method for polynomial linear parameter varying model with bounded parameter variation rate.
Xiaobao Han, Zhenbao Liu, Huacong Li, Xianwei Liu   +3 more
doaj   +1 more source

LMI-Observer-Based Stabilizer for Chaotic Systems in the Existence of a Nonlinear Function and Perturbation

Mathematics, 2021
In this study, the observer-based state feedback stabilizer design for a class of chaotic systems in the existence of external perturbations and Lipchitz nonlinearities is presented.
Hamede Karami, Saleh Mobayen, Marzieh Lashkari, Farhad Bayat, Arthur Chang   +4 more
doaj   +1 more source

Causal‐Guided Ultra‐Long‐Term Time Series Forecasting Via Anticipated Covariates

Advanced Science, EarlyView.
Often treated as unknown, information from the future remains underutilized.We demonstrate that in a coupled dynamical system, providing the future state of the effect enables accurate forecasting of the cause for a long timesteps. A time series forecasting paradigm that introduces anticipated covariates to represent such known future states is ...
Jintong Zhao, Yufei Liu, Ruixi Huang, Zhongxue Gan, Siyang Leng   +4 more
wiley   +1 more source

Global exponential stability for coupled systems of neutral delay differential equations

Electronic Journal of Qualitative Theory of Differential Equations, 2014
In this paper, a novel class of neutral delay differential equations (NDDEs) is presented. By using the Razumikhin method and Kirchhoff's matrix tree theorem in graph theory, the global exponential stability for such NDDEs is investigated.
Wenxue Li, Hongwei Yang, Junyan Feng, Ke Wang   +3 more
doaj   +1 more source

СREATION OF CORRELATION FUNCTIONS OF LINEAR CONTINUOUS SYSTEMS BASED ON THEIR FUNDAMENTAL MATRICES [PDF]

Научно-технический вестник информационных технологий, механики и оптики, 2015
The paper presents a method of creating correlation matrices and functions of the state vectors and outputs of the linear continuous systems functioning under the conditions of stochastic stationary, in a broad sense, effects.
N. A. Vunder, E. A. Nad’kina, A. V. Ushakov, J. V. Chugina   +3 more
doaj   +1 more source

Lyapunov function in the hyper complex phase space [PDF]

, 2021
The paper deals with the development of background for defining Lyapunov functions for a wide range of linear dynamical objects. This background is based on assuming that the Lyapunov function is redundant energy in the considered object and this energy ...
Kuznetsov, Vitaliy, Volianska, Nina, Voliansky, Roman, Sadovoi, Aleksandr, Kuznetsov, Valeriy, Kuznetsova, Yevheniia, Ostapchuk, Oleksandr   +6 more
core  

A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws

Advanced Intelligent Discovery, EarlyView.
The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows, G. Zhang, S. Anand, Z. Chen, J. Lin, A. Desai, S. Martiniani, F. Caravelli   +7 more
wiley   +1 more source

Estimation of the Attraction Domain for the Quantum Systems Based on the Schrödinger Equation

Axioms
This paper investigates a quantum system described by the Schrödinger equation, utilizing the concept of the quantum Lyapunov function. The Lyapunov function is chosen based on the mean value of a virtual mechanical quantity, where different values of P,
Hongli Yang, Guohui Yu, Ivan Ganchev Ivanov   +2 more
doaj   +1 more source