Results 101 to 110 of about 3,016 (203)

Disturbance‐Resilient Voltage/Power‐Quality Management for Islanded Inverters Using Self‐Tuning Type‐3 Fuzzy Controller

Energy Science &Engineering, Volume 14, Issue 6, Page 2816-2838, June 2026.
An adaptive fuzzy controller using an interval type‐3 fuzzy logic system replaces the SMC switching term to mitigate chattering while preserving global stability for islanded inverters. Simulations show lower THD, greater robustness to disturbances and parameter variations, and improved voltage‐tracking accuracy, with applicability to other uncertain ...
Man‐Wen Tian, Jun‐Bo Mao, Nurkhat Zhakiyev, Didar Yedilkhan, Ruslan Omirgaliyev, Du Changdong, Amirhossein Khosravi Sarvenoee, Ardashir Mohammadzadeh   +7 more
wiley   +1 more source

A discrete analogue of the inequality of Lyapunov

Hokkaido Mathematical Journal, 1983
The difference equation \(\Delta^ 2x(k-1)+p(k)x(k)=0,\) where p(k) is a real valued function defined on a set of consecutive integrals is considered. Several inequalities are proved for p(k) which are necessary for the existence of a solution of the above equation with certain boundary conditions.
openaire   +3 more sources

From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics

Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 9696-9708, June 2026.
ABSTRACT We investigate the transition between stability and chaos in the damped Klein‐Gordon equation, a fundamental model for wave propagation and energy dissipation. Using semigroup methods and spectral criteria, we derive explicit thresholds that determine when the system exhibits asymptotic stability and when it displays strong chaotic dynamics ...
Carlos Lizama, Marina Murillo‐Arcila, Julio Puerta‐Fernández   +2 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

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

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

Event-Triggered Output Feedback H∞ Control for Markov-Type Networked Control Systems

Mathematics
This paper studies the output feedback H∞ control problem of event-triggered Markov-type networked control systems. Firstly, a new Lyapunov–Krasovskii functional is constructed, which contains an event-triggered scheme, Markovian jump system, and ...
Xuede Zhou, Shanshan Liu, Yan Wang, Yong Zhu   +3 more
doaj   +1 more source

Stability of KdV Solitons on the Half‐Line: A Study for Nonhomogeneous Boundary Conditions

Studies in Applied Mathematics, Volume 156, Issue 6, June 2026.
ABSTRACT We study the orbital stability and asymptotic stability problems for KdV solitons on the right half‐line for nonhomogeneous boundary conditions in the energy space H1(R+)$H^1(\mathbb {R}^+)$. This paper improves the results of Cavalcante and Muñoz [Revista Matemática Iberoamericana 35, no. 6 (2019); and SIAM Journal on Mathematical Analysis 55,
Luccas Campos, Mykael Cardoso, Márcio Cavalcante   +2 more
wiley   +1 more source

An improvement of the Lyapunov inequality for certain higher order differential equations. [PDF]

J Inequal Appl, 2018
Liu H.
europepmc   +1 more source

Hartman and Lyapunov Inequalities

This undergraduate thesis addresses the Hartman and Lyapunov inequalities for second-order linear differential equations. First, the Green's function method for solving linear differential equations satisfying Dirichlet boundary conditions is comprehensively explained, and the integral forms of the solutions are obtained through this method.
openaire   +1 more source