Technical communique: Set of possible values of maximal Lyapunov exponents of discrete time-varying linear system

Authors:
Adam Czornik;Piotr Jurgas
Affiliations:
Department of Automatic Control, Silesian Technical University, ul. Akademicka 16, 44-101 Gliwice, Poland;Department of Automatic Control, Silesian Technical University, ul. Akademicka 16, 44-101 Gliwice, Poland
Venue:
Automatica (Journal of IFAC)
Year:
2008

Citing 3
Cited 2

Dynamics of Time-Varying Discrete-Time Linear Systems: Spectral Theory and the Projected System

SIAM Journal on Control and Optimization
When is a pair of matrices mortal?

Information Processing Letters
Complexity of stability and controllability of elementary hybrid systems

Automatica (Journal of IFAC)

Technical communique: On new estimates for Lyapunov exponents of discrete time varying linear systems

Automatica (Journal of IFAC)
Lyapunov exponents of second order linear systems

CIMMACS'11/ISP'11 Proceedings of the 10th WSEAS international conference on Computational Intelligence, Man-Machine Systems and Cybernetics, and proceedings of the 10th WSEAS international conference on Information Security and Privacy

Quantified Score

Hi-index	22.15

Visualization

Abstract

In this paper we consider discrete time varying linear systems with coefficients in fixed set of invertible matrices and we describe the set of all possible maximal Lyapunov exponents for the system. We show that the set includes an interval bounded by the generalized spectral subradius and the generalized spectral radius.