Abstract
Let A(t) and B(t) (t ≥ 0) be variable n × n-matrices. Assuming that the system ẋ = A(t)x is exponentially stable and the matrix norm of the integral ∫ t 0 (B(s) - A(s)) ds is sufficiently small, for the system ẋ = B(t)x we derive explicit stability conditions, which improve the well-known ones in appropriate situations. The results are illustrated by a numerical example.
Original language | English |
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Pages (from-to) | 361-369 |
Number of pages | 9 |
Journal | Circuits, Systems, and Signal Processing |
Volume | 31 |
Issue number | 1 |
DOIs | |
State | Published - 1 Feb 2012 |
Keywords
- Linear nonautonomous systems
- Stability
ASJC Scopus subject areas
- Signal Processing
- Applied Mathematics