Results 91 to 100 of about 112,131 (249)
Plurisubharmonic Lyapunov functions
Michigan Mathematical Journal, 2004 Suppose the holomorphic map \(f: \mathbb{C}\mathbb{P}^2\to \mathbb{C}\mathbb{P}^2\) has an invariant nonsingular quadratic curve \(A\) contained in the critical set of. The author proves that the pluricomplex Green function \(G_K\) for the repeller \(K\) dual to \(A\), with logarithmic pole along \(A\), is a PSH Lyapunov function for \(f\) in \(\mathbb{
openaire +2 more sources
Canadian Journal of Statistics, EarlyView.Abstract We establish the consistency and the asymptotic distribution of the least squares estimators of the coefficients of a subset vector autoregressive process with exogenous variables (VARX). Using a martingale central limit theorem, we derive the asymptotic normal distribution of the estimators. Diagnostic checking is discussed using kernel‐based
Pierre Duchesne +2 more
wiley +1 more source
Energy Science &Engineering, EarlyView.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 +7 more
wiley +1 more source
A Lyapunov Theory-Based SEIG–STATCOM Voltage Regulation Control Strategy
EnergiesTo improve the voltage regulation of asynchronous generators during load switching, a Lyapunov-based control strategy has been proposed to stabilize the generator’s voltage by connecting a static synchronous compensator.
Zeyu Zhang, Pingping Gong, Ziguang Lu
doaj +1 more source
Nonautonomous Dynamical Systems, 2015 In this paper we investigate additional regularity properties for global and trajectory attractors of all globally defined weak solutions of semi-linear parabolic differential reaction-diffusion equations with discontinuous nonlinearities, when initial ...
Gluzman Mark O. +2 more
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In the present investigation, a mathematical model with vaccination, treatment, and environmental impact under real data is presented. Initially, we present the model without any interventions, followed by an examination of its equilibrium points.
Bashir Al‐Hdaibat +4 more
wiley +1 more source
Robust Tracking Control of the Euler-Lagrange System Based on Barrier Lyapunov Function and Self-Structuring Neural Networks. [PDF]
Comput Intell Neurosci, 2021 Wang Y, Ma H, Wu W.
europepmc +1 more source
From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics
Mathematical Methods in the Applied Sciences, EarlyView.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 +2 more
wiley +1 more source
Lyapunov function and global asymptotic stability for a new multiscale viral dynamics model incorporating the immune system response: Implemented upon HCV. [PDF]
PLoS One, 2021 Elkaranshawy HA, Ezzat HM, Ibrahim NN.
europepmc +1 more source
Mathematical Analysis and Simulations of a Cancer Model With Interleukins and Delayed Immunotherapy
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT A new system of delayed differential equations for tumor‐immune system interactions is proposed and studied. The system describes the interactions between tumor cells and the immune system at the most aggressive phase of cancer, where tumor cells have developed mechanisms from earlier stages to evade immune responses.
Laid Boudjellal +2 more
wiley +1 more source