[HTML][HTML] Review on computational methods for Lyapunov functions
P Giesl, S Hafstein - Discrete and Continuous Dynamical Systems …, 2015 - aimsciences.org
Lyapunov functions are an essential tool in the stability analysis of dynamical systems, both
in theory and applications. They provide sufficient conditions for the stability of equilibria or …
in theory and applications. They provide sufficient conditions for the stability of equilibria or …
Review on contraction analysis and computation of contraction metrics
Contraction analysis considers the distance between two adjacent trajectories. If this
distance is contracting, then trajectories have the same long-term behavior. The main …
distance is contracting, then trajectories have the same long-term behavior. The main …
Quasi fixed-time synchronization of memristive Cohen-Grossberg neural networks with reaction-diffusion
F Ren, M Jiang, H Xu, M Li - Neurocomputing, 2020 - Elsevier
This paper focuses on the quasi-fixed time synchronization of memristive Cohen-Grossberg
neural networks with reaction diffusion. First, a new definition of finite/fixed-time attraction set …
neural networks with reaction diffusion. First, a new definition of finite/fixed-time attraction set …
[图书][B] Barriers and transport in unsteady flows: a Melnikov approach
S Balasuriya - 2016 - SIAM
Over the past several years, there has been an explosion of interest in analyzing flow
barriers in fluids. This has been driven by a variety of reasons. One is a concern for our …
barriers in fluids. This has been driven by a variety of reasons. One is a concern for our …
Finite-time attractivity of solutions for a class of fractional differential inclusions with finite delay
Our aim in this paper is to give a sufficient condition ensuring the finite-time attractivity for the
zero solution to semilinear functional differential inclusions in Banach spaces, in the case …
zero solution to semilinear functional differential inclusions in Banach spaces, in the case …
Linearization of hyperbolic finite-time processes
D Karrasch - Journal of Differential Equations, 2013 - Elsevier
We adapt the notion of processes to introduce an abstract framework for dynamics in finite
time, ie on compact time-sets. For linear finite-time processes a notion of hyperbolicity …
time, ie on compact time-sets. For linear finite-time processes a notion of hyperbolicity …
Finite-time attractivity for semilinear tempered fractional wave equations
We prove the existence and finite-time attractivity of solutions to semilinear tempered
fractional wave equations with sectorial operator and superlinear nonlinearity. Our analysis …
fractional wave equations with sectorial operator and superlinear nonlinearity. Our analysis …
Determination of the area of exponential attraction in one-dimensional finite-time systems using meshless collocation
P Giesl, J McMichen - 2018 - sussex.figshare.com
We consider a non-autonomous ordinary differential equation over a finite time interval [T1;
T2]. The area of exponential attraction consists of solutions such that the distance to …
T2]. The area of exponential attraction consists of solutions such that the distance to …
Finite-time attractivity for semilinear fractional differential equations
TD Ke, T Van Tuan - Results in Mathematics, 2018 - Springer
The aim of our work is to establish some sufficient conditions ensuring the finite-time
attractivity of solutions to semilinear fractional differential equations, in which the nonlinearity …
attractivity of solutions to semilinear fractional differential equations, in which the nonlinearity …
Identification of the domain of attraction
VS Ermolin, TV Vlasova - … and Control Processes" in Memory of …, 2015 - ieeexplore.ieee.org
In this paper we consider a time-invariant system of differential equations with an
equilibrium. We study the problem of a class of Lyapunov functions allowing to describe an …
equilibrium. We study the problem of a class of Lyapunov functions allowing to describe an …