Abstract
In this note we describe the maximal and the minimal values of Lyapunov exponents for second-order discrete time-invariant linear system perturbed by time-varying bounded perturbations. An interpretation of the results in terms of generalized spectral radius is given. An application of obtained formulas to the robust stability problem is demonstrated on a numerical example.
| Original language | English |
|---|---|
| Pages (from-to) | 473-483 |
| Number of pages | 11 |
| Journal | Dynamical Systems |
| Volume | 28 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 1 Dec 2013 |
Keywords
- Lyapunov exponents
- generalized spectral radius
- robust stability
- time-varying discrete linear systems
ASJC Scopus subject areas
- General Mathematics
- Computer Science Applications
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