Lyapunov exponents of second order linear systems

Authors:
Adam Czornik;Aleksander Nawrat
Affiliations:
Department of Automatic Control, Silesian Technical University, Gliwice, Poland;Department of Automatic Control, Silesian Technical University, Gliwice, Poland
Venue:
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
Year:
2011

Citing 5
Cited 0

Stability radii of linear systems

Systems & Control Letters
When is a pair of matrices mortal?

Information Processing Letters
A robust stability problem for discrete-time systems subject to an uncertain parameter

Automatica (Journal of IFAC)
Technical communique: Set of possible values of maximal Lyapunov exponents of discrete time-varying linear system

Automatica (Journal of IFAC)
Complexity of stability and controllability of elementary hybrid systems

Automatica (Journal of IFAC)

Quantified Score

Hi-index	0.00

Visualization

Abstract

In this paper we describe the maximal and the minimal values of Lyapunov exponents for second order discrete time invariant linear system perturbed by time varying bounded perturbation. The results may be interpreted in terms of generalized spectral radius and applied to obtained formulas for robust stability problem.