Results 81 to 90 of about 4,419,275 (304)

Gradient-based Neural Network for Online Solution of Lyapunov Matrix Equation with Li Activation Function

International Conference on Industrial Technology, 2015
A new type of activation function, named Li activation function, is used in gradient-based neural network (GNN) to solve Lyapunov matrix equation. With this activation function, theoretical analysis shows that GNN can converge in finite time, while it ...
Shiheng Wang, Shidong Dai, Ke Wang
semanticscholar   +1 more source

Stability analysis of nonlinear Lyapunov systems associated with an nth order system of matrix differential equations [PDF]

, 2002
This paper introduces the notion of Lipschitz stability for nonlinear nth order matrix Lyapunov differential systems and gives sufficient conditions for Lipschitz stability.
Shaw, Michael D., Murty, Kanuri N.
core   +1 more source

Existence and Stability Analysis of Classical and Fractional‐Order Generalized Brusselator Reaction‐Diffusion System

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT The present work is devoted to establishing existence results and examining the stability properties of solutions associated with a generalized Brusselator reaction–diffusion system in both the classical and fractional‐order settings. The corresponding ODE and PDE formulations are considered to establish the global existence of solutions in ...
Fadia Haouam, Lamia Djebara, Salem Abdelmalek, Mokhtar Kirane   +3 more
wiley   +1 more source

Dynamic multi‐objective optimisation of complex networks based on evolutionary computation

IET Networks, EarlyView., 2022
Abstract As the problems concerning the number of information to be optimised is increasing, the optimisation level is getting higher, the target information is more diversified, and the algorithms are becoming more complex; the traditional algorithms such as particle swarm and differential evolution are far from being able to deal with this situation ...
Linfeng Huang
wiley   +1 more source

Robust Control Theory for Time Lag System in Chemical Engineering and Its Application

Chemical Engineering Transactions, 2017
A series of problems of the time-lag system including robust stability analysis and guaranteed cost controller design are studied mainly based on the Lyapunov stability theory by linear matrix inequality method and time lag partitioning method in this ...
Mingli Zhou
doaj   +1 more source

Resultants and Lyapunov matrix equations

Linear Algebra and its Applications, 1989
AbstractLet B and Q be real n × n matrices. It is well known that the discrete Lyapunov matrix equation Y − BTYB = Q has a unique solution Y if and only if the resultant R(g(x), xng(1/x)) is nonzero, where g(x) is the characteristic polynomial of B. Here, by reducing the underlying matrix, we obtain the factorization R(g(x), xng(1x)) = sntn(det Θ)2 ...
openaire   +1 more source

Continuity of the Lyapunov exponents of random matrix products [PDF]

, 2023
We prove that the Lyapunov exponents of random products in a (real or complex) matrix group depends continuously on the matrix coefficients and probability weights.
Viana, Marcelo, Eskin, Alex, Avila, Artur   +2 more
core  

Energy Transfer and Saving in a Nonlinear Coupled Vibrating System Based on the Method of Composite Synchronization Transmission

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT The vibrating screening equipment in industry usually requires power supply to each driving motor to keep up with its normal operation. The self‐synchronization transmission motion of two motors can achieve the screening requirement and save electrical energy by driving one single inductor motor. Nevertheless, this technology is currently only
Lei Jia, Di Zhang, Dawei Gu
wiley   +1 more source

Dynamic Performance Enhancement of a High‐Agility Hypersonic Mechanical System via a Learning‐Augmented Robust Control Architecture

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT The design of control systems for high‐agility mechanical systems operating in extreme environments is a significant challenge in nonlinear dynamics. This paper addresses the complex dynamic control problem of a hypersonic interceptor, modeled as a multi‐input multi‐output (MIMO) mechanical system characterized by strong aerodynamic cross ...
Mohammad Mahdi Soori, Seyed Hossein Sadati   +1 more
wiley   +1 more source

Lyapunov stability analysis of higher-order 2-D systems

We give necessary and sufficient conditions, based on the existence of a Lyapunov functional, for the asymptotic stability of a square autonomous 2-D behavior in the sense of ...
Kojima, Chiaki, Takaba, Kiyotsugu, Rapisarda, Paolo   +2 more
core   +3 more sources