Results 91 to 100 of about 72,691 (241)
Nonlinear stability of the ensemble Kalman filter with adaptive covariance inflation [PDF]
The Ensemble Kalman filter and Ensemble square root filters are data assimilation methods used to combine high dimensional nonlinear models with observed data.
Kelly, David +2 more
core
A novel adaptive filter design using Lyapunov stability theory
This paper presents a new approach to design an adaptive lter using Lyapunov stability theory. The design procedure is formulated as an inequality constrained optimization problem. Lagrange multiplier theory is used as an optimization tool. Lyapunov stability theory is integrated into the constraint function to satisfy the asymptotic stability of the ...
Menguc, Engin Cemal, Acir, Nurettin
openaire +3 more sources
Miners' Reward Elasticity and Stability of Competing Proof‐of‐Work Cryptocurrencies
ABSTRACT Proof‐of‐Work cryptocurrencies employ miners to sustain the system through algorithmic reward adjustments. We develop a stochastic model of the multicurrency mining and identify conditions for stable transaction speeds. Bitcoin's algorithm requires hash supply elasticity <$<$1 for stability, while ASERT remains stable for any elasticity and ...
Kohei Kawaguchi +2 more
wiley +1 more source
Existence and Stability of Periodic Solution to Delayed Nonlinear Differential Equations
The main purpose of this paper is to study the periodicity and global asymptotic stability of a generalized Lotka-Volterra’s competition system with delays.
Xiang Gu +3 more
doaj +1 more source
On the Lyapunov stability theory for impulsive dynamical systems
Impulsive dynamical systems first appeared in the 1970's and had their mathematical foundation presented almost two decades later. Currently many authors are turning their attention to these systems, where a continuous evolution law is disrupted by abrupt changes of state, called \textit{jumps} or \textit{impulses}.
Bonotto, Everaldo M., Souto, Ginnara M.
openaire +2 more sources
We prove optimality principles for semicontinuous bounded viscosity solutions of Hamilton-Jacobi-Bellman equations. In particular we provide a representation formula for viscosity supersolutions as value functions of suitable obstacle control problems ...
Cesaroni, Annalisa
core
Abstract figure legend Direct‐current (DC) electric fields modulate spontaneous slow oscillations in cerebral cortex slices in vitro. Schematic of the in vitro preparation (upper panels). Spontaneous slow oscillations (SO; <1 Hz) consisting of alternating Up (active) and Down (silent) states were observed under control conditions.
Mattia D'Andola +4 more
wiley +1 more source
A weak invariance principle and asymptotic stability for evolution equations with bounded generators
If V is a Lyapunov function of an equation du/dt=u′=Zu in a Banach space then asymptotic stability of an equilibrium point may be easily proved if it is known that sup(V′)
E. N. Chukwu, P. Smoczynski
doaj +1 more source
ABSTRACT This paper presents a robust control synthesis and analysis framework for nonlinear systems with uncertain initial conditions. First, a deep learning‐based lifting approach is proposed to approximate nonlinear dynamical systems with linear parameter‐varying (LPV) state‐space models in higher‐dimensional spaces while simultaneously ...
Sourav Sinha, Mazen Farhood
wiley +1 more source
In this work, the exponential stability problem of impulsive recurrent neural networks is investigated; discrete time delay, continuously distributed delay and stochastic noise are simultaneously taken into consideration.
M. Iswarya +5 more
doaj +1 more source

