Robust periodic stability implies uniform exponential stability of Markovian jump linear systems and random linear ordinary differential equations

Abstract

In this paper we show that if a linear cocycle is robustly periodical stable then it is uniformly stable.

27 pages; submitted

References in corpus (2)

• The generalized Berger-Wang formula and the spectral radius of linear cocycles
• A Gel'fand-type spectral radius formula and stability of linear constrained switching systems

Cited by in corpus (2)

• The Berger-Wang formula for the Markovian joint spectral radius
• Finer filtration for matrix-valued cocycle based on Oseledec's multiplicative ergodic theorem