A tropical geometry approach to BIBO stability

05/18/2020
by   Bossoto Bossoto, et al.
0

Given a Laurent polynomial F and its amoeba AF. We relate here the question of the BIBO stability of a multi linear time invariant system with a rational transfer function. We formulate very simple criteria for BIBO strong or weak stability in terms of the position of the origin 0 with respect to the amoeba AF and suggest an algorithmic procedure in order to test such property.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
01/14/2022

Port-Hamiltonian Realizations of Linear Time Invariant Systems

The question when a general linear time invariant control system is equi...
research
08/10/2023

Necessary and sufficient conditions for strong stability of explicit Runge-Kutta methods

Strong stability is a property of time integration schemes for ODEs that...
research
02/02/2023

Stability of finite difference schemes for the hyperbolic initial boundary value problem by winding number computations

In this paper, we present a numerical strategy to check the strong stabi...
research
05/28/2023

Linear-Time–Branching-Time Spectroscopy Accounting for Silent Steps

We provide the first generalized game characterization of van Glabbeek's...
research
08/04/2020

On the Sobolev and L^p-Stability of the L^2-projection

We show stability of the L^2-projection onto Lagrange finite element spa...
research
01/09/2023

Quantifying the structural stability of simplicial homology

The homology groups of a simplicial complex reveal fundamental propertie...
research
04/01/2020

Particle Swarm Optimization: Stability Analysis using N-Informers under Arbitrary Coefficient Distributions

This paper derives, under minimal modelling assumptions, a simple to use...

Please sign up or login with your details

Forgot password? Click here to reset