Results 91 to 100 of about 36,359 (205)

Van der Pol Oscillator, its Control Theoretical Analysis Using Dissipative Canonical Equations and its Lyapunov Function

Düzce Üniversitesi Bilim ve Teknoloji Dergisi
In this research paper, beginning with the Lagrangian and generalized velocity proportional (Rayleigh) dissipation function of a physical/engineering system, the Lagrange-dissipative model ( {L,D}-model briefly) of the system is initially developed. Upon
Bedri Sevinc, Cem Civelek
doaj   +1 more source

Energy‐Associated Splitting Schemes for Closed Nonlinear Port‐Hamiltonian Systems

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT We present splitting methods for port‐Hamiltonian (pH) systems, focusing on the preservation of their internal structure, in particular, the dissipation inequality. Classical high‐order splitting schemes possess negative step sizes, which might cause instabilities and the violation of the dissipation inequality.
Marius Mönch, Nicole Marheineke
wiley   +1 more source

Existence and Global Exponential Stability of Equilibrium for an Epidemic Model with Piecewise Constant Argument of Generalized Type

Axioms
The authors investigate an epidemic model described by a differential equation, which includes a piecewise constant argument of the generalized type (DEPCAG).
Kuo-Shou Chiu, Fernando Córdova-Lepe
doaj   +1 more source

Comparative Analysis of the Performances of a Nonlinear Observer and Nonlinear Kalman Filters in the Presence of Non‐Gaussian Disturbances

International Journal of Robust and Nonlinear Control, Volume 36, Issue 7, Page 3896-3913, 10 May 2026.
ABSTRACT This paper focuses on state estimation for a fairly general class of systems, involving nonlinear functions and disturbances in both the process dynamics and output equations. A nonlinear observer that satisfies a H∞$$ {\boldsymbol{H}}_{\boldsymbol{\infty}} $$ disturbance attenuation constraint in addition to providing asymptotic stability in ...
Hamidreza Movahedi, Ali Zemouche, Rajesh Rajamani   +2 more
wiley   +1 more source

Classic Solutions of Boundary Value Problems for Partial Differential Equations with Operator of Finite Index in the Main Part of Equation

Известия Иркутского государственного университета: Серия "Математика", 2019
This paper is an attempt to give the review of a part of our results in the area of singular partial differential equations. Using the results of the theory of complete generalized Jordan sets we consider the reduction of the PDE with the irreversible ...
N.A. Sidorov
doaj   +1 more source

Vector Field‐Based Collision‐Free Navigation in Tunnel‐Like Environments

Journal of Field Robotics, Volume 43, Issue 3, Page 2521-2547, May 2026.
ABSTRACT Tunnel‐like environments, renowned for their vast scale, confined spaces, and limited visibility, present significant challenges for autonomous robot navigation. This study addresses the critical issue of guiding robots through such environments while ensuring collision‐free navigation and maintaining a specified safety margin from both tunnel
Bao Jianjun, Licheng Feng, Yueqi Wang, Kai Zhao, Binghao Li, Liao Wu   +5 more
wiley   +1 more source

Generalized 2D polynomial chaotic map and its application in information transmission

Tongxin xuebao, 2022
Existing chaotic systems have many defects in engineering applications, such as discontinuous chaotic parameter range, weak chaos, uneven output of chaotic sequences and dynamic degradation.Therefore, a generalized 2D polynomial chaotic mapping model was
Wenhao YAN, Zijing JIANG, Xin HUANG, Shujuan ZHU, Qun DING   +4 more
doaj   +2 more sources

Model reduction of controlled Fokker--Planck and Liouville-von Neumann equations

, 2017
Model reduction methods for bilinear control systems are compared by means of practical examples of Liouville-von Neumann and Fokker--Planck type. Methods based on balancing generalized system Gramians and on minimizing an H2-type cost functional are ...
Benner, Peter, Breiten, Tobias, Hartmann, Carsten, Schmidt, Burkhard   +3 more
core  

Change Point Analysis for Functional Data Using Empirical Characteristic Functionals

Journal of Time Series Analysis, Volume 47, Issue 3, Page 612-631, May 2026.
ABSTRACT We develop a new method to detect change points in the distribution of functional data based on integrated CUSUM processes of empirical characteristic functionals. Asymptotic results are presented under conditions allowing for low‐order moments and serial dependence in the data establishing the limiting null‐distribution of the proposed test ...
Lajos Horváth, Gregory Rice, Jeremy VanderDoes   +2 more
wiley   +1 more source

On the existence of solutions for nonlocal sequential boundary fractional differential equations via ψ-Riemann–Liouville derivative

Boundary Value Problems
The purpose of this paper is to study a generalized Riemann–Liouville fractional differential equation and system with nonlocal boundary conditions. Firstly, some properties of the Green function are presented and then Lyapunov-type inequalities for a ...
Faouzi Haddouchi, Mohammad Esmael Samei
doaj   +1 more source