Results 101 to 110 of about 35,286 (235)

Mittag–Leffler Stability of a Switched Fractional Gene Regulatory Network Model with a Short Memory

open access: yesMathematics
A model of gene regulatory networks with generalized Caputo fractional derivatives with respect to another function is set up in this paper. The main characteristic of the model is the presence of a switching rule, which changes at certain times at both ...
Ravi P. Agarwal   +2 more
doaj   +1 more source

Existence and Exponential Stability of Solutions for Stochastic Cellular Neural Networks with Piecewise Constant Argument

open access: yesJournal of Applied Mathematics, 2014
By using the concept of differential equations with piecewise constant argument of generalized type, a model of stochastic cellular neural networks with piecewise constant argument is developed.
Xiaoai Li
doaj   +1 more source

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

open access: yes, 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   +3 more
core  

Stability analysis of N-D discrete state–space systems

open access: yesSystems Science & Control Engineering
Several stability criteria for N-dimensional linear shift-invariant discrete systems described in the state–space model are presented. The criteria are the N-D state–space versions of the De Carlo et al., Anderson-Jury and Lyapunov equations with complex
Apostolos Kanellakis   +2 more
doaj   +1 more source

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

open access: yesProceedings 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

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

open access: yesИзвестия 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

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

open access: yesInternational 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   +2 more
wiley   +1 more source

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

open access: yesAxioms
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

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

open access: yesJournal 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   +5 more
wiley   +1 more source

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