A global observer for attitude and gyro biases from vector measurements
, 2016 We consider the classical problem of estimating the attitude and gyro biases of a rigid body from vector measurements and a triaxial rate gyro. We propose a simple "geometry-free" nonlinear observer with guaranteed uniform global asymptotic convergence ...
Martin, Philippe, Sarras, Ioannis
core +3 more sources
A complete characterization of exponential stability for discrete dynamics
, 2017 For a discrete dynamics defined by a sequence of bounded and not necessarily invertible linear operators, we give a complete characterization of exponential stability in terms of invertibility of a certain operator acting on suitable Banach sequence ...
Lupa, Nicolae, Popescu, Liviu Horia
core +1 more source
Near conserving energy numerical schemes for two-dimensional coupled seismic wave equations [PDF]
, 2018 Two-dimensional coupled seismic waves, satisfying the equations of linear isotropic elasticity, on a rectangular domain with initial conditions and periodic boundary conditions, are considered.
Portillo de la Fuente, Ana María
core +1 more source
Advances in Difference Equations, 2018 In this paper, we focus on developing Razumikhin technique for stability analysis of impulsive differential equations with piecewise constant argument. Based on the Lyapunov–Razumikhin method and impulsive control theory, we obtain some Razumikhin-type ...
Qiang Xi
doaj +1 more source
STABILITY ANALYSIS OF PERIODIC AND ALMOST-PERIODIC DISCRETE SWITCHED LINEAR SYSTEM [PDF]
Matrix Science Mathematic, 2018 This article shows a connection between the boundedness and uniform exponential stability of linear discrete switched system in the space of periodic and almost-periodic sequences.
Akbar Zada, Sartaj Ali
doaj +1 more source
Uniform Exponential Stability of Discrete Evolution Families on Space of p-Periodic Sequences
Abstract and Applied Analysis, 2014 We prove that the discrete system ζn+1=Anζn is uniformly exponentially stable if and only if the unique solution of the Cauchy problem ζn+1=Anζn+eiθn+1zn+1, n∈Z+, ζ0=0, is bounded for any real number θ and any p-periodic sequence z(n) with z(0)=0. Here,
Yongfang Wang +4 more
doaj +1 more source
Exponential decay properties of a mathematical model for a certain fluid-structure interaction
, 2014 In this work, we derive a result of exponential stability for a coupled system of partial differential equations (PDEs) which governs a certain fluid-structure interaction.
Avalos, George, Bucci, Francesca
core +1 more source
Asymptotic stability of switching systems
Electronic Journal of Differential Equations, 2010 In this article, we study the uniform asymptotic stability of the switched system $u'=f_{ u(t)}(u)$, $uin mathbb{R}^n$, where $ u:mathbb{R}_{+}o {1,2,dots,m}$ is an arbitrary piecewise constant function. We find criteria for the asymptotic stability
Driss Boularas, David Cheban
doaj
Asymptotic Stability and Exponential Stability of Impulsive Delayed Hopfield Neural Networks
Abstract and Applied Analysis, 2013 A criterion for the uniform asymptotic stability of the equilibrium point of impulsive delayed Hopfield neural networks is presented by using Lyapunov functions and linear matrix inequality approach.
Jing Chen, Xiaodi Li, Dequan Wang
doaj +1 more source
Bohl-Perron type stability theorems for linear difference equations with infinite delay
, 2010 Relation between two properties of linear difference equations with infinite delay is investigated: (i) exponential stability, (ii) $\l^p$-input $\l^q$-state stability (sometimes is called Perron's property).
Berezansky L. +8 more
core +1 more source