Results 51 to 60 of about 7,136 (240)

Irreversibility and Action of the Heat Conduction Process

Entropy, 2018
Irreversibility (that is, the “one-sidedness” of time) of a physical process can be characterized by using Lyapunov functions in the modern theory of stability.
Yu-Chao Hua, Tiao Zhao, Zeng-Yuan Guo
doaj   +1 more source

On the Lyapunov Exponent of Monotone Boolean Networks ^†

Mathematics, 2020
Boolean networks are discrete dynamical systems comprised of coupled Boolean functions. An important parameter that characterizes such systems is the Lyapunov exponent, which measures the state stability of the system to small perturbations.
Ilya Shmulevich
doaj   +1 more source

AI‐Assisted IoT‐Enabled ECG Monitoring: Integrating Foundational and Generative AI Tools for Sustainable Smart Healthcare—Recent Trends

AI &Innovation, EarlyView.
ABSTRACT The rapid evolution of the Internet of Things (IoT) has significantly advanced the field of electrocardiogram (ECG) monitoring, enabling real‐time, remote, and patient‐centric cardiac care. This paper presents a comprehensive survey of AI assisted IoT‐based ECG monitoring systems, focusing on the integration of emerging technologies such as ...
Amrita Choudhury, Kandarpa Kumar Sarma, Lachit Dutta   +2 more
wiley   +1 more source

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
doaj   +1 more source

IMPROVING THE EFFICIENCY OF THE PROCEDURE OF LYAPUNOV SPLINE-FUNCTIONS CONSTRUCTION FOR NONLINEAR NONSTATIONARY SYSTEMS

Российский технологический журнал, 2018
The paper proposes a numerical algorithm for constructing Lyapunov functions for investigating the absolute stability of nonlinear nonstationary systems.
V. P. Berdnikov
doaj   +1 more source

Artificial Neural Network Driven Computational Modeling of Naegleria fowleri Epidemics Using Variational Optimization

Advanced Physics Research, EarlyView.
ABSTRACT This study presents a mathematical framework to analyze the transmission dynamics of an amoeba‐induced central nervous system infection. The population is divided into compartments including susceptible, exposed, infected, quarantined, hospitalized, recovered, protected, and deceased.
Wakeel Ahmed, Areej Yaseen, Ghulamullah Saeedi, Shakeel Ahmed   +3 more
wiley   +1 more source

Modeling and parameter estimation for fractional large‐scale interconnected Hammerstein systems

Asian Journal of Control, EarlyView.
Abstract This paper addresses the challenge of modeling and identifying large‐scale interconnected systems exhibiting memory effects, hereditary properties, and non‐local interactions. We propose a fractional‐order extension of the Hammerstein architecture that incorporates Grünwald–Letnikov operators to capture complex dynamics through multiple ...
Mourad Elloumi, Omar Naifar, Imed Bouzida   +2 more
wiley   +1 more source

Lipschitz Stability for Non-Instantaneous Impulsive Caputo Fractional Differential Equations with State Dependent Delays

Axioms, 2018
In this paper, we study Lipschitz stability of Caputo fractional differential equations with non-instantaneous impulses and state dependent delays. The study is based on Lyapunov functions and the Razumikhin technique. Our equations in particular include
Ravi Agarwal, Snezhana Hristova, Donal O'Regan   +2 more
doaj   +1 more source

Performance improvement of discrete‐time linear‐quadratic regulators applied to uncertain linear systems using the Tikhonov regularization method

Asian Journal of Control, EarlyView.
Abstract The linear‐quadratic regulator (LQR) problem of optimal control of an uncertain discrete‐time linear system (DTLS) is revisited in this paper from the perspective of Tikhonov regularization. We show that an optimally chosen regularization parameter reduces, compared to the classical LQR, the values of a scalar error function, as well as the ...
Fernando Pazos, Amit Bhaya
wiley   +1 more source

Safe deep reinforcement learning method for guaranteed compliance with physical constraints in autonomous energy systems of critical infrastructure (a case study of healthcare facilities)

Авіаційно-космічна техніка та технологія
The study examines the complex processes of intelligent management of energy resilience in modern healthcare facilities during critical situations, large-scale failures, and prolonged outages of the external centralized power supply.
Maksym Kushnarov
doaj   +1 more source