Abstract
This paper is concerned with exponential stability of solutions of perturbed discrete equations. For a given m>1 we will provide necessary and sufficient conditions for exponential stability of all perturbed systems with perturbation of order m under the assumption that the unperturbed linear system is exponentially stable. Basing on this result we obtained necessary and sufficient conditions for exponential stability of the perturbed system for all perturbations of order m>1 for regular systems. Our results are expressed in terms of regular coefficients of the unperturbed system.
| Original language | English |
|---|---|
| Pages (from-to) | 742-750 |
| Number of pages | 9 |
| Journal | Linear Algebra and Its Applications |
| Volume | 435 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 15 Aug 2011 |
Keywords
- Difference equation
- Linearization
- Lyapunov exponents
- Stability
- Time-varying systems
ASJC Scopus subject areas
- Algebra and Number Theory
- Numerical Analysis
- Geometry and Topology
- Discrete Mathematics and Combinatorics
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