Results 41 to 50 of about 3,031,723 (217)

BACKPROPAGATION TRAINING ALGORITHM WITH ADAPTIVE PARAMETERS TO SOLVE DIGITAL PROBLEMS [PDF]

ICTACT Journal on Soft Computing, 2011
An efficient technique namely Backpropagation training with adaptive parameters using Lyapunov Stability Theory for training single hidden layer feed forward network is proposed.
R. Saraswathi
doaj  

On Lyapunov Exponents for RNNs: Understanding Information Propagation Using Dynamical Systems Tools

Frontiers in Applied Mathematics and Statistics, 2022
Recurrent neural networks (RNNs) have been successfully applied to a variety of problems involving sequential data, but their optimization is sensitive to parameter initialization, architecture, and optimizer hyperparameters.
Ryan Vogt, Maximilian Puelma Touzel, Maximilian Puelma Touzel, Eli Shlizerman, Eli Shlizerman, Guillaume Lajoie, Guillaume Lajoie   +6 more
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Initial Time Difference Stability of Causal Differential Systems in terms of Lyapunov Functions and Lyapunov Functionals

Journal of Applied Mathematics, 2014
We investigate the qualitative behavior of a perturbed causal differential equation that differs in initial position and initial time with respect to the unperturbed causal differential equations.
Coşkun Yakar, Mustafa Bayram Gücen
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A characterization of common Lyapunov diagonal stability using Khatri-Rao products

AIMS Mathematics
Using the Khatri-Rao product, we presented new characterizations for the common Lyapunov diagonal stability for a family of real matrices $ \mathcal{A} $. For special partitions $ \alpha $, we used the notion of $ \mathcal{P}^{\alpha} $-sets and common $
Ali Algefary
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Finite Time Stability of Stochastic Hybrid Systems

Abstract and Applied Analysis, 2014
This paper considers the finite time stability of stochastic hybrid systems, which has both Markovian switching and impulsive effect. First, the concept of finite time stability is extended to stochastic hybrid systems.
Ying Yang, Guopei Chen
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Stability analysis of Caputo fractional time-dependent systems with delay using vector lyapunov functions

AIMS Mathematics
In this study, we investigate the stability and asymptotic stability properties of Caputo fractional time-dependent systems with delay by employing vector Lyapunov functions.
Jonas Ogar Achuobi , Edet Peter Akpan, Reny George, Austine Efut Ofem   +3 more
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Stability of Fuzzy Dynamical Systems via Lyapunov Functions

International Journal of Differential Equations, 2020
The purpose of this paper is to introduce the concept of fuzzy Lyapunov functions to study the notion of stability of equilibrium points for fuzzy dynamical systems associated with fuzzy initial value problems, through the principle of Zadeh.
Abdelati El Allaoui, Said Melliani, Lalla Saadia Chadli   +2 more
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MOTION STABILITY ANALYSIS OF FOUR ROTOR AIRCRAFT BASED ON LYAPUNOV INDEX METHOD

Jixie qiangdu, 2019
According to the four rotor aircraft in a relatively complex near earth space, easily disturbed, and the emergence of jitter and out of control of motion stability, this paper investigated the motion stability of four rotor aircraft based on Lyapunov ...
TANG MingJun, SUN Shuai
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Dynamical behaviors, control and synchronization of a new chaotic model with complex variables and cubic nonlinear terms

Results in Physics, 2017
A novel chaotic model with complex variables and cubic non-linear terms was proposed. The new system is a six dimensional continuous real autonomous chaotic system.
Emad E. Mahmoud, Madeha A. Al-Adwani
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Finite Time Stability and Optimal Control for Stochastic Dynamical Systems

Axioms
In real-world applications, finite time convergence to a desired Lyapunov stable equilibrium is often necessary. This notion of stability is known as finite time stability and refers to systems in which the state trajectory reaches an equilibrium in ...
Ronit Chitre, Wassim M. Haddad
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