Results 61 to 70 of about 3,985,897 (236)

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

A Matrix-Operator Formulation of Conformable Sylvester and Lyapunov Differential Matrix Equations

Journal of Mathematics
This paper presents a systematic matrix-operator formulation for linear Sylvester and Lyapunov matrix differential equations governed by the conformable derivative.
Ibtisam Aldawish, Wasim Raza, Lakhlifa Sadek, Ahmad Shafee   +3 more
doaj   +1 more source

The control of drilling vibrations: A coupled PDE-ODE modeling approach

International Journal of Applied Mathematics and Computer Science, 2016
The main purpose of this contribution is the control of both torsional and axial vibrations occurring along a rotary oilwell drilling system. The model considered consists of a wave equation coupled to an ordinary differential equation (ODE) through a ...
Saldivar Belem, Mondié Sabine, Ávila Vilchis Juan Carlos   +2 more
doaj   +1 more source

Toward a Unification of System-Theoretical Principles in Biology and Ecology—The Stochastic Lyapunov Matrix Equation and Its Inverse Application

Frontiers in Applied Mathematics and Statistics, 2019
System theory has its roots in mathematical formalisms developed by mathematicians and physicists, such as Leibniz, Euler, and Newton, and applied by congenial chemists and biologists such as Lotka and Bertalanffy.
Wolfram Weckwerth, Wolfram Weckwerth
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

Mathematical model analysis of nonlinear control systems of power turbines operating in condensation mode

Physical Sciences and Technology, 2021
The work is dedicated to modeling&turbine control systems and studying the stability of a nonlinear system. The dynamics of the turbine regulation system is described by a nonlinear&system of four differential equations.
Zh. T. Bitaeva, Z. N. Murzabekov
doaj  

Approximate Methods for Solving Linear and Nonlinear Hypersingular Integral Equations

Axioms, 2020
We propose an iterative projection method for solving linear and nonlinear hypersingular integral equations with non-Riemann integrable functions on the right-hand sides.
Ilya Boykov, Vladimir Roudnev, Alla Boykova   +2 more
doaj   +1 more source

Composite control Lyapunov functions for robust stabilization of constrained uncertain dynamical systems [PDF]

, 2013
This work presents innovative scientific results on the robust stabilization of constrained uncertain dynamical systems via Lyapunov-based state feedback control.
GRAMMATICO, SERGIO
core  

Synchronization‐Performance‐Oriented Frequency‐Domain Iterative Learning Control for Wafer and Reticle Stages

Asian Journal of Control, EarlyView.
ABSTRACT The synchronization accuracy between the wafer stage and reticle stage in lithography is critical to overlay and critical dimension uniformity. Existing iterative learning control (ILC) methods indirectly optimize synchronization via time‐domain errors, failing to balance low‐frequency tracking accuracy and high‐frequency noise suppression ...
Xin Zhou, Yuejing Qi, Zhipeng Wu, Wei Qi, Tianwei Xu   +4 more
wiley   +1 more source

On the Ψ-asymptotic equivalence of the Ψ-bounded solutions of two Lyapunov matrix differential equations [PDF]

ITM Web of Conferences, 2020
Using Schauder Tychonoff fixed point theorem and the technique of Kronecker product of matrices, we prove existence results for Ψ-asymptotic equivalence of the Ψ-bounded solutions of two Lyapunov matrix differential equations.
openaire   +2 more sources