Results 31 to 40 of about 16,456 (286)

State Observation for Lipschitz Nonlinear Dynamical Systems Based on Lyapunov Functions and Functionals

open access: yesMathematics, 2020
State observers for systems having Lipschitz nonlinearities are considered for what concerns the stability of the estimation error by means of a decomposition of the dynamics of the error into the cascade of two systems. First, conditions are established
Angelo Alessandri   +2 more
doaj   +1 more source

p-Stability and p-Stabilizability of Stochastic Nonlinear and Bilinear Hybrid Systems under Stabilizing Switching Rules

open access: yesJournal of Applied Mathematics, 2013
The problem of pth mean exponential stability and stabilizability of a class of stochastic nonlinear and bilinear hybrid systems with unstable and stable subsystems is considered.
Ewelina Seroka, Lesław Socha
doaj   +1 more source

Lyapunov matrices approach to the parametric optimization of a neutral system

open access: yesArchives of Control Sciences, 2016
In the paper a Lyapunov matrices approach to the parametric optimization problem of a neutral system with a P-controller is presented. The value of integral quadratic performance index of quality is equal to the value of Lyapunov functional for the ...
Duda Jozef
doaj   +1 more source

Neural Network Adaptive Control With Long Short‐Term Memory

open access: yesInternational Journal of Adaptive Control and Signal Processing, EarlyView.
ABSTRACT In this study, we propose a novel adaptive control architecture that provides dramatically better transient response performance compared to conventional adaptive control methods. This is accomplished by the synergistic employment of a traditional adaptive neural network (ANN) controller and a long short‐term memory (LSTM) network.
Emirhan Inanc   +4 more
wiley   +1 more source

Regular Attractor by Strict Lyapunov Function for Random Dynamical Systems

open access: yesWasit Journal for Pure Sciences
The main objective of this paper is to study some types of random attractors in random dynamical systems based on the random strict Lyapunov   function.
Hind Adnan Hashim
doaj   +1 more source

Fluctuations of finite-time Lyapunov exponents in an intermediate-complexity atmospheric model: a multivariate and large-deviation perspective [PDF]

open access: yesNonlinear Processes in Geophysics, 2019
The stability properties as characterized by the fluctuations of finite-time Lyapunov exponents around their mean values are investigated in a three-level quasi-geostrophic atmospheric model with realistic mean state and variability.
F. Kwasniok
doaj   +1 more source

Optical Chaos Generation and Applications

open access: yesAdvanced Photonics Research, EarlyView.
This review comprehensively examines optical chaos generation via feedback, injection, and optoelectronic methods, emphasizing bandwidth enhancement and time‐delay suppression. Applications include chaos‐synchronized secure communication, physical random number generation, chaotic lidar for cm‐level detection, distributed fiber sensing, and terahertz ...
Wenhui Chen   +8 more
wiley   +1 more source

Lyapunov-type inequalities for fractional differential equations: a survey [PDF]

open access: yesSurveys in Mathematics and its Applications, 2021
A survey of results on Lyapunov-type inequalities for fractional differential equations associated with a variety of boundary conditions is presented.
Sotiris K. Ntouyas, Bashir Ahmad
doaj  

Mathematical study for Zika virus transmission with general incidence rate

open access: yesAIMS Mathematics, 2022
An appropriate mathematical model for describing the Zika virus transmission with nonlinear general incidence rate was proposed. The basic reproduction number $ \mathcal{R}_0 $ was calculated using the next generation matrix method. Analysis of the local
Ahmed Alshehri , Miled El Hajji
doaj   +1 more source

Formation Control of Multi‐Agent System with Local Interaction and Artificial Potential Field

open access: yesAdvanced Robotics Research, EarlyView.
This article proposes a local interaction‐based formation control method for Multi‐Agent system, integrating consensus and leader‐follower strategies with a stress response mechanism—artificial potential field to reduce communication overhead and enable obstacle avoidance. Experimental results on triangular, square, and hexagonal formations confirm its
Luoyin Zhao   +3 more
wiley   +1 more source

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