Results 101 to 110 of about 46,821 (215)

On Lyapunov-type inequality for a class of quasilinear systems

Electronic Journal of Qualitative Theory of Differential Equations, 2014
In this paper, we establish a new Lyapunov-type inequality for quasilinear systems. Our result in special case reduces to the result of Watanabe et al. [J. Inequal. Appl. 242(2012), 1-8]. As an application, we also obtain lower bounds for the eigenvalues
Devrim Cakmak
doaj   +1 more source

On Metric Choice in Dimension Reduction for Fréchet Regression

International Statistical Review, EarlyView.
Summary Fréchet regression is becoming a mainstay in modern data analysis for analysing non‐traditional data types belonging to general metric spaces. This novel regression method is especially useful in the analysis of complex health data such as continuous monitoring and imaging data.
Abdul‐Nasah Soale, Congli Ma, Siyu Chen, Obed Koomson   +3 more
wiley   +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

A Lyapunov-type inequality for a -Laplacian operator

Nonlinear Analysis: Theory, Methods & Applications, 2011
For an odd increasing function \(\psi\), a Lyapunov-type inequality for the \(\psi\)-Laplacian operator is proven. The proof is non-classical, since the Jensen, Cauchy-Schwarz or either Hölder inequalities are not used.
Sanchez, Justino, Vergara, Vicente
openaire   +6 more sources

Arbitrary Order Fractional Difference Operators with Discrete Exponential Kernels and Applications

Discrete Dynamics in Nature and Society, 2017
Recently, Abdeljawad and Baleanu have formulated and studied the discrete versions of the fractional operators of order ...
Thabet Abdeljawad, Qasem M. Al-Mdallal, Mohamed A. Hajji   +2 more
doaj   +1 more source

Recursive Feasibility of Nonlinear Stochastic Model Predictive Control With Gaussian Process Dynamics

International Journal of Robust and Nonlinear Control, Volume 36, Issue 9, Page 4957-4970, June 2026.
ABSTRACT Data‐based learning of system dynamics allows model‐based control approaches to be applied to systems with partially unknown dynamics. Gaussian process regression is a preferred approach that outputs not only the learned system model but also the variance of the model, which can be seen as a measure of uncertainty.
Daniel Landgraf, Andreas Völz, Knut Graichen   +2 more
wiley   +1 more source

A Neural Network Based on a Nonsmooth Equation for a Box Constrained Variational Inequality Problem

Journal of Mathematics
The variational inequality framework holds significant prominence across various domains including economic finance, network transportation, and game theory. In addition, a novel approach utilizing a neural network model is introduced in the current work
Yanan Wang, Shuang Lin, Jie Zhang, Chen Qiu   +3 more
doaj   +1 more source

Fractional operators with exponential kernels and a Lyapunov type inequality

Advances in Difference Equations, 2017
In this article, we extend fractional calculus with nonsingular exponential kernels, initiated recently by Caputo and Fabrizio, to higher order. The extension is given to both left and right fractional derivatives and integrals.
Thabet Abdeljawad
doaj   +1 more source

Periodic Scenario Trees: A Novel Framework for Robust Periodic Invariance and Stabilization of Constrained Uncertain Linear Systems

International Journal of Robust and Nonlinear Control, Volume 36, Issue 9, Page 5069-5086, June 2026.
ABSTRACT This work proposes a new framework for stabilizing uncertain linear systems and for determining robust periodic invariant sets and their associated control laws for constrained uncertain linear systems. Necessary and sufficient conditions for stabilizability by periodic controllers are stated and proven using finite step Lyapunov functions for
Yehia Abdelsalam, Sankaranarayanan Subramanian, Sebastian Engell   +2 more
wiley   +1 more source

Some discrete fractional Lyapunov-type inequalities [PDF]

Fractional Differential Calculus, 2015
Summary: In this work, we obtain Lyapunov-type inequalities for two-point conjugate and right-focal boundary value problems depending on discrete fractional operators \(\Delta^\alpha ...
openaire   +1 more source