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Stability index of linear random dynamical system

Author
Cima, A.; Gasull, A.; Mañosa, V.
Type of activity
Report
Date
2019-04-11
Code
arXiv:1904.05725 [math.DS]
Project funding
Rate-dependent hysteresis: modeling, analysis and identification, with applications to magnetorheological dampers
Repository
http://hdl.handle.net/2117/132566 Open in new window
URL
https://arxiv.org/abs/1904.05725 Open in new window
Abstract
Given a homogeneous linear discrete or continuous dynamical system, its stability index is given by the dimension of the stable manifold of the zero solution. In particular, for the n dimensional case, the zero solution is globally asymptotically stable if and only if this stability index is n. Fixed n, let p_k, k=0,1,...,n, denote the probabilities that the random variable that assigns to each linear random dynamical system its stability index takes the value k. In this paper we obtain either t...
Keywords
Stability index, random difference equations, random differential equations, random dynamical systems.
Group of research
CoDAlab - Control, Dynamics and Applications

Participants