Abstract
In this note, a formula for the lower Bohl exponent of a discrete system with variable coefficients and weak variation was proved. This formula expresses the Bohl exponent through the eigenvalues of the coefficient matrix. Based on these formulas a necessary and sufficient condition for an uniform exponential instability of such systems is also presented.
| Original language | English |
|---|---|
| Pages (from-to) | 413-424 |
| Number of pages | 12 |
| Journal | Archives of Control Sciences |
| Volume | 33 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2023 |
Keywords
- Bohl exponent
- asymptotic stability
- time-varying systems
ASJC Scopus subject areas
- Control and Systems Engineering
- Modeling and Simulation
- Control and Optimization
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