Finer filtration for matrix-valued cocycle based on Oseledec's multiplicative ergodic theorem

2013/08/28 by Xiongping Dai, Dai, Xiongping
Computer Science · Mathematics · #37H15 #93D20 #Dynamical Systems (math.DS) #FOS: Electrical engineering #FOS: Mathematics #Holomorphic and Operator Theory #Mathematical Analysis and Transform Methods #Matrix Theory and Algorithms #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.1308.6111

openalex publication_date 2013/08/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/01

Abstract

In this paper, we improve the classical multiplicative ergodic theorem.

Citations

• Recurrence of Co-Cycles and Random Walks
• A formula with some applications to the theory of Lyapunov exponents
• Stability Criteria for Switched and Hybrid Systems
• Robust periodic stability implies uniform exponential stability of Markovian jump linear systems and random linear ordinary differential equations

Related

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• Continuity of the Oseledets Decomposition
• The generalized Berger-Wang formula and the spectral radius of linear cocycles
• A note on Furstenberg's filtering problem
• A semi-invertible Oseledets Theorem with applications to transfer\n operator cocycles